ORIGINAL_ARTICLE
Elasto-plastic solution for thick-walled spherical vessels with an inner FGM layer
Purely elastic, partially and fully plastic stress states in a thick-walled spherical pressure vessel with an inner functionally graded material (FG) coating subjected to internal and external pressures are developed analytically in this paper. The modulus of elasticity and the uniaxial yield limit of the FG coating layer are considered to vary nonlinearly through the thickness. Using Tresca’s yield criterion and ideal plastic material behavior, the plastic model is established. Under pressure loading, the scenario in which the plastic deformation starts from inner surface of FG coating layer is taken into account. Having increased the pressure loading, it is assumed that the FG coating layer becomes fully plastic and the yielding commences subsequently at the inner surface of homogenous part. Essentially, the variation of FG parameters in the radial direction is properly adjusted in order to achieve the stated yielding scenario. Furthermore, axisymmetric finite element model is performed to validate the accuracy of the analytical results. It is concluded that the elastic and plastic response of the spherical pressure vessel are influenced by grading parameters and coating behavior.
https://jcamech.ut.ac.ir/article_63365_28ec02f80547a14397e1fb166dc334f3.pdf
2019-06-01
1
13
10.22059/jcamech.2017.239277.173
Thick-walled sphere
Elasto-plastic analysis
FG Coating
Pressure
Amin
Seyyed Nosrati
a_seyyednosrati@ut.ac.ir
1
School of Mechanical Engineering, College of Engineering, University of Tehran, Tehran, Iran
AUTHOR
Ali
Parvizi
aliparvizi@ut.ac.ir
2
School of Mechanical Engineering, College of Engineering, University of Tehran, Tehran, Iran
LEAD_AUTHOR
Seyed Ali
Afzal
s_aliafzal@ut.ac.ir
3
School of Mechanical Engineering, College of Engineering, University of Tehran, Tehran, Iran
AUTHOR
Vali
Alimirzaloo
v.alimirzaloo@urmia.ac.ir
4
Engineering Department, Urmia University, Urmia, Iran
AUTHOR
[1] S. Suresh, A. Mortensen, 1998, Fundamentals of functionally graded materials, The Institut of Materials,
1
[2] J. Aboudi, M.-J. Pindera, S. M. Arnold, Higher-order theory for functionally graded materials, Composites Part B: Engineering, Vol. 30, No. 8, pp. 777-832, 1999.
2
[3] D. Annaratone, 2007, Pressure vessel design, Springer,
3
[4] U. Schulz, M. Peters, F.-W. Bach, G. Tegeder, Graded coatings for thermal, wear and corrosion barriers, Materials Science and Engineering: A, Vol. 362, No. 1, pp. 61-80, 2003.
4
[5] H. Bufler, The arbitrarily and the periodically laminated elastic hollow sphere: exact solutions and homogenization, Archive of Applied Mechanics, Vol. 68, No. 9, pp. 579-588, 1998.
5
[6] M. Eslami, M. Babaei, R. Poultangari, Thermal and mechanical stresses in a functionally graded thick sphere, International Journal of Pressure Vessels and Piping, Vol. 82, No. 7, pp. 522-527, 2005.
6
[7] L. You, J. Zhang, X. You, Elastic analysis of internally pressurized thick-walled spherical pressure vessels of functionally graded materials, International Journal of Pressure Vessels and Piping, Vol. 82, No. 5, pp. 347-354, 2005.
7
[8] R. Poultangari, M. Jabbari, M. Eslami, Functionally graded hollow spheres under non-axisymmetric thermo-mechanical loads, International Journal of Pressure Vessels and Piping, Vol. 85, No. 5, pp. 295-305, 2008.
8
[9] Y. Chen, X. Lin, Elastic analysis for thick cylinders and spherical pressure vessels made of functionally graded materials, Computational Materials Science, Vol. 44, No. 2, pp. 581-587, 2008.
9
[10] N. Tutuncu, B. Temel, A novel approach to stress analysis of pressurized FGM cylinders, disks and spheres, Composite Structures, Vol. 91, No. 3, pp. 385-390, 2009.
10
[11] A. Saidi, S. Atashipour, E. Jomehzadeh, Exact elasticity solutions for thick-walled fg spherical pressure vessels with linearly and exponentially varying properties, Int J Eng Trans A, Vol. 22, pp. 405-416, 2009.
11
[12] M. Sadeghian, H. E. Toussi, Axisymmetric yielding of functionally graded spherical vessel under thermo-mechanical loading, Computational Materials Science, Vol. 50, No. 3, pp. 975-981, 2011.
12
[13] E. Carrera, M. Soave, Use of functionally graded material layers in a two-layered pressure vessel, journal of Pressure vessel Technology, Vol. 133, No. 5, pp. 051202, 2011.
13
[14] A. Parvizi, R. Naghdabadi, J. Arghavani, Analysis of Al A359/SiCp functionally graded cylinder subjected to internal pressure and temperature gradient with elastic-plastic deformation, Journal of Thermal Stresses, Vol. 34, No. 10, pp. 1054-1070, 2011.
14
[15] Y. Bayat, M. Ghannad, H. Torabi, Analytical and numerical analysis for the FGM thick sphere under combined pressure and temperature loading, Archive of Applied Mechanics, Vol. 82, No. 2, pp. 229-242, 2012.
15
[16] M. Z. Nejad, M. Abedi, M. H. Lotfian, M. Ghannad, An exact solution for stresses and displacements of pressurized FGM thick-walled spherical shells with exponential-varying properties, Journal of mechanical science and technology, Vol. 26, No. 12, pp. 4081, 2012.
16
[17] M. S. Boroujerdy, M. Eslami, Thermal buckling of piezo-FGM shallow spherical shells, Meccanica, Vol. 48, No. 4, pp. 887-899, 2013.
17
[18] M. Saadatfar, M. Aghaie-Khafri, Hygrothermomagnetoelectroelastic analysis of a functionally graded magnetoelectroelastic hollow sphere resting on an elastic foundation, Smart Materials and Structures, Vol. 23, No. 3, pp. 035004, 2014.
18
[19] A. Parvizi, S. Alikarami, M. Asgari, Exact solution for thermoelastoplastic behavior of thick-walled functionally graded sphere under combined pressure and temperature gradient loading, Journal of Thermal Stresses, Vol. 39, No. 9, pp. 1152-1170, 2016.
19
[20] S. Alikarami, A. Parvizi, Elasto-plastic analysis and finite element simulation of thick-walled functionally graded cylinder subjected to combined pressure and thermal loading, Science and Engineering of Composite Materials.
20
[21] T. Akis, Elastoplastic analysis of functionally graded spherical pressure vessels, Computational Materials Science, Vol. 46, No. 2, pp. 545-554, 2009.
21
[22] S. A. Atashipour, R. Sburlati, S. R. Atashipour, Elastic analysis of thick-walled pressurized spherical vessels coated with functionally graded materials, Meccanica, Vol. 49, No. 12, pp. 2965-2978, 2014.
22
[23] A. Loghman, H. Parsa, Exact solution for magneto-thermo-elastic behaviour of double-walled cylinder made of an inner FGM and an outer homogeneous layer, International Journal of Mechanical Sciences, Vol. 88, pp. 93-99, 2014.
23
[24] Z. Wang, Q. Zhang, L. Xia, J. Wu, P. Liu, Thermomechanical analysis of pressure vessels with functionally graded material coating, Journal of Pressure Vessel Technology, Vol. 138, No. 1, pp. 011205, 2016.
24
[25] A. Afshin, M. Zamani Nejad, K. Dastani, Transient thermoelastic analysis of FGM rotating thick cylindrical pressure vessels under arbitrary boundary and initial conditions, Journal of Computational Applied Mechanics, Vol. 48, No. 1, pp. 15-26, 2017.
25
[26] M. Gharibi, M. Zamani Nejad, A. Hadi, Elastic analysis of functionally graded rotating thick cylindrical pressure vessels with exponentially-varying properties using power series method of Frobenius, Journal of Computational Applied Mechanics, Vol. 48, No. 1, pp. 89-98, 2017.
26
[27] R. Ghajar, M. Shokrieh, A. R. Shajari, Transient thermo-visco-elastic response of a functionally graded non-axisymmetric cylinder, Journal of Computational Applied Mechanics, Vol. 46, No. 2, pp. 191-204, 2015.
27
[28] S. Timoshenko, 1934, Theory of Elasticity, McGraw-Hill,
28
[29] A. Mendelson, 1968, Plasticity: theory and application, Macmillan,
29
[30] A. Nayebi, S. A. Sadrabadi, FGM elastoplastic analysis under thermomechanical loading, International Journal of Pressure Vessels and Piping, Vol. 111, pp. 12-20, 2013.
30
ORIGINAL_ARTICLE
Hydrodynamic investigation of multiple rising bubbles using lattice Boltzmann method
Hydrodynamics of multiple rising bubbles as a fundamental two-phase phenomenon is studied numerically by lattice Boltzmann method and using Lee two-phase model. Lee model based on Cahn-Hilliard diffuse interface approach uses potential form of intermolecular forces and isotropic finite difference discretization. This approach is able to avoid parasitic currents and leads to a stable procedure to simulate two-phase flows. Deformation and coalescence of bubbles depend on a balance between surface tension forces, gravity forces, inertia forces and viscous forces. A simulation code is developed and validated by analysis of some basic problems such as bubble relaxation, merging bubbles, merging droplets and single rising bubble. Also, the results of two rising bubbles as the simplest interaction problem of rising bubbles have been calculated and presented. As the main results, square and lozenge initial configuration of nine rising bubbles are studied at Eotvos numbers of 2, 10 and 50. Two-phase flow behavior of multiple rising bubbles at same configurations is discussed and the effect of Eotvos number is also presented. Finally, velocity field of nine rising bubbles is presented and discussed with details.
https://jcamech.ut.ac.ir/article_65702_5081b405a7a19009a3f589582e5ac8fa.pdf
2019-06-01
14
26
10.22059/jcamech.2018.248898.224
Multiple rising bubbles
Lattice Boltzmann method
Lee two-phase model
Mohsen
Ghasemi
mohsen.ghasemi@modares.ac.ir
1
Department of Mechanical Engineering, Tarbiat Modares University, Tehran, Iran.
AUTHOR
Mohammad Reza
Ansari
mra_1330@modares.ac.ir
2
Department of Mechanical Engineering, Tarbiat Modares University, Tehran, Iran.
LEAD_AUTHOR
Mohamad Hasan
Rahimian
rahimyan@ut.ac.ir
3
Department of Mechanical Engineering, University of Tehran, Tehran, Iran
AUTHOR
Clift R., Grace J.R., 1978, Weber M.E., Bubbles, drops, and particles, New York: Academic Press.
1
Bhaga D., Weber M.E., 1981, Bubbles in viscous liquids: shapes, wakes and velocities, J Fluid Mech 105: 61-85.
2
Grace J.R., Wairegi T., Nguyen T.H., 1976, Shapes and velocities of single drops and bubbles moving freely through immiscible liquids, Trans. Inst. Chem. Eng 54(3): 167-173.
3
Watanabe H., Suzuki M., Ito N., 2013, Huge-scale molecular dynamics simulation of multibubble nuclei, Computer Physics Communications 184(12): 2775-2784.
4
Balcázar N., Lehmkuhl O., Jofre L., Oliva A., 2015, Level-set simulations of buoyancy-driven motion of single and multiple bubbles, International Journal of Heat and Fluid Flow 56: 91-107.
5
Islam M.T., Ganesan P., Cheng J., 2015, A pair of bubbles’ rising dynamics in a xanthan gum solution: a CFD study, Rsc Advances 5(11): 7819-7831.
6
Hassanzadeh A., Pourmahmoud N., Dadvand A., 2017, Numerical simulation of motion and deformation of healthy and sick red blood cell through a constricted vessel using hybrid lattice Boltzmann-immersed boundary method, Computer methods in Biomechanics and Biomedical engineering 20(7): 737–749.
7
Hassanzadeh A., Pourmahmoud N., Dadvand A., 2018, Numerical simulation of red blood cell motion and deformation using improved lattice Boltzmann-immersed boundary method", Iran J Sci Technol Trans Mech Eng, (In Press), DOI 10.1007/s40997-017-0112-2.
8
Ghafouri A., Hassanzadeh A., 2017, Numerical study of red blood cell motion and deformation through a michrochannel using lattice Boltzmann-immersed boundary method. Journal of the Brazilian Society of Mechanical Sciences and Engineering, 39(6): 1873-1882.
9
10. Dadvand A., 2016, Simulation of the motion of two elastic membranes in Poiseuille shear flow via a combined immersed boundary-lattice Boltzmann method. Journal of Computational Science 12: 51-61.
10
11. Dadvand A., 2018, Effects of deformability of RBCs on their dynamics and blood flow passing through a stenosed microvessel: an immersed boundary-lattice Boltzmann approach, Theoretical and Computational Fluid Dynamics, 32(1): 91-107.
11
12. Gunstensen K., Rothman D.H., Zaleski S., Zanetti G., 1991, Lattice Boltzmann model of immiscible fluids, Physical Review A 43(8): p. 4320.
12
13. Grunau D., Chen S., Eggert K., 1993, A lattice Boltzmann model for multiphase fluid flows, Phys. Fluids A 5(10): p. 2557.
13
14. Shan X., Chen H., 1993, Lattice Boltzmann model for simulating flows with multiple phases and components, Phys. Rev. E 47(3): p. 1815.
14
15. Shan X., Chen H., 1994, Simulation of non-ideal gases and liquid–gas phase transitions by the lattice Boltzmann equation, Phys. Rev. E 49: p. 2941.
15
16. Shan X., Doolen G.D., 1995, Multicomponent lattice-Boltzmann model with interparticle interaction, J. Stat. Phys. 81: 379-393.
16
17. Shan X., Doolen G., 1996, Diffusion in a multicomponent lattice Boltzmann equation model, Phys. Rev. E 54(4): p. 3614.
17
18. Swift M.R., Osborn W.R., Yeomans J.M., 1995, Lattice Boltzmann simulation of nonideal fluids, Phys. Rev. Lett. 75(5): p. 830.
18
19. Swift M.R., Orlandini E., Osborn W.R., Yeomans J.M., 1996, Lattice Boltzmann simulation of liquid–gas and binary-fluid system, Phys. Rev. E 54(5): p. 5041.
19
20. Orlandini E., Swift M.R., Yeomans J.R., 1995, A Lattice Boltzmann Model of Binary-Fluid Mixtures, Europhys. Lett. 32 (6): 463-468.
20
21. He X., Shan X., Doolen G.D., 1998, A discrete Boltzmann equation model for non-ideal gases, Phys. Rev. E 57(1): p. R13.
21
22. He X., Chen S., 1999, Zhang R., A lattice Boltzmann scheme for incompressible multiphase flow and its application in simulation of Rayleigh–Taylor instability, J. Comput. Phys. 152(2): 642–663.
22
23. He X., Zhang R., Chen S., Doolen G.D., 1999, On three-dimensional Rayleigh– Taylor instability, Phys. Fluids 11(5): p. 1143.
23
24. Zhang R., He X., Chen S., 2000, Interface and surface tension in incompressible lattice Boltzmann multiphase model, Comput. Phys. Commun. 129: 121–130.
24
25. Zhang R., He X., Doolen G., Chen S., 2001, Surface tension effects on two-dimensional two-phase Kelvin-Helmholtz instabilities, Advances in Water Resources 24: 461-478.
25
26. Zhang R., 2000, Lattice Boltzmann approach for immiscible multiphase flow, Ph.D. thesis, University of Delaware.
26
27. Inamuro T., Ogata T., Tajima S., Konishi N., 2004, lattice Boltzmann method for incompressible two-phase flows with large density differences, J. Com. Phy.198: 628–644.
27
28. Lee T., Lin C.L., 2005, A stable discretization of the lattice Boltzmann equation for simulation of in compressible two-phase flows at high density ratio, J. Com. Phy. 206: 16–47.
28
29. Zheng H.W., Shu C., Chew Y.T., 2006, A lattice Boltzmann for multiphase flows with large density ratio, J. Com. Phy. 218: 353–371.
29
30. Takada N., Misawa M., A. Tomiyama, S. Hosokawa, 2001, Simulation of bubble motion under gravity by lattice Boltzmann method, Journal of Nuclear Science and Technology 38(5): 330–341.
30
31. Gupta A., Kumar R., 2008, Lattice Boltzmann simulation to study multiple bubble dynamics, International Journal of Heat and Mass Transfer 51(21-22): 5192–5203.
31
32. Cheng M., Hua J., Lou J., 2010, Simulation of bubble–bubble interaction using a lattice Boltzmann method, Computers & Fluids 39: 260–270.
32
33. Yu Z., Yang H., Fan L.S., 2011, Numerical simulation of bubble interactions using an adaptive lattice Boltzmann method, Chemical Engineering Science 66(14): 3441–3451.
33
34. Shu S., Yang N., 2013, Direct Numerical Simulation of Bubble Dynamics Using Phase-Field Model and Lattice Boltzmann Method, Industrial & Engineering Chemistry Research 52: 11391−11403.
34
35. Lee T., Fischer P.F., 2006, Eliminating parasitic currents in the lattice Boltzmann equation method for nonideal gases, Phys. Rev. E 74: No. 046709.
35
36. Lee T., Liu L., 2008, Wall boundary conditions in the lattice Boltzmann equation method for non-ideal gases, Physical Review E 78: No. 017702.
36
37. Lee T., 2009, Effects of incompressibility on the elimination of parasitic currents in the lattice Boltzmann equation method for binary fluids, Comput. Math. Appl. 58: 987–994.
37
38. Lee T., Liu L., 2010, Lattice Boltzmann simulations of micron-scale drop impact on dry surfaces, J. Com. Phy. 229: 8045-8063.
38
39. Amaya-Bower L., Lee T., 2010, Single bubble rising dynamics for moderate Reynolds number using Lattice Boltzmann Method, Computers & Fluids 39: 1191–1207.
39
40. Amaya-Bower L., Lee T., 2011, Numerical simulation of single bubble rising in vertical and inclined square channel using lattice Boltzmann method, Chemical Engineering Science 66: 935–952.
40
41. Taghilou M., Rahimian M.H., 2014, Investigation of two-phase flow in porous media using lattice Boltzmann method, Computers and Mathematics with Applications 67: 424–436.
41
42. Mirzaie Daryan H.M., Rahimian M.H., 2015, Numerical Simulation of Single Bubble Deformation in Straight Duct and 90˚ Bend Using Lattice Boltzmann Method, Journal of Electronics Cooling and Thermal Control 5: 89-118.
42
43. Haghani R., Rahimian M.H., 2016, Four different types of a single drop dripping down a hole under gravity by lattice Boltzmann method, Journal of Computational Applied Mechanics 47(1): 89-98.
43
44. Farokhirad S., Morris J.F., Lee T., 2015, Coalescence-induced jumping of droplet: Inertia and viscosity effects, Physics of Fluids 27(10).
44
45. Fakhari A., Bolster D., 2017, Diffuse interface modeling of three-phase contact line dynamics on curved boundaries: A lattice Boltzmann model for large density and viscosity ratios. Journal of Computational Physics 334: 620-638.
45
46. Jain P.K., A. Tentner, Rizwan-uddin, 2009, A lattice Boltzmann framework to simulate boiling water reactor core hydrodynamics, Computers and Mathematics with Applications 58: 975-986.
46
47. Xing X.Q., Butler D.L., Ng S.H., Wang Z., Danyluk S., Yang C., 2007, Simulation of droplet formation and coalescence using lattice Boltzmann-based single-phase model, Journal of Colloid and Interface Science 311: 609–618.
47
ORIGINAL_ARTICLE
Static and dynamic axial crushing of prismatic thin-walled metal columns
In this paper, a novel approach is proposed to investigate the progressive collapse damage of prismatic thin walled metal columns with different regular cross sections, under the action of axial quasi-static and impact loads. The present work mainly focuses on implementation of some important factors which have been neglected in other studies. These factors include the effect of reducing impactor velocity and inertia effect during collapse, a mixed collapse mode for crushing mechanism, and consideration of a realistic elasto-plastic model for material. Taking all these factors into account, the analysis led to some parametric algebraic equations without a possible general solution in terms of collapse variables. Consequently, a new theoretical approach was proposed based on previously offered Super Folding Element (SFE) theory, to obtain the closed form explicit relations for the static and dynamic mean crushing forces and collapse variables. The proposed approach considers an analytic-numeric discretization procedure to solve these equations. To evaluate the results, a detailed finite element analysis on square mild steel models was conducted under an axial impact load, using LS-DYNA and ANSYS software programs. Comparison of the experimental results that are available in the literature with those of finite element analysis, shows the applicability of this approach in predicting the collapse behavior in such structures.
https://jcamech.ut.ac.ir/article_67381_b5fbaef926833135d45eac35a9f8fc82.pdf
2019-06-01
27
40
10.22059/jcamech.2018.251558.237
Progressive Collapse
mean crushing force
axial impact
crushing wavelength
LS-DYNA
Ahmad
Malekshahi
a-malekshahi@phdstu.scu.ac.ir
1
Department of Mechanical Engineering, Shahid Chamran University of ahvaz, Ahvaz, Iran
LEAD_AUTHOR
Kourosh
Heydari Shirazi
k.shirazi@scu.ac.ir
2
Department of Mechanical Engineering, Shahid Chamran University of ahvaz, Ahvaz, Iran
AUTHOR
Mohammad
Shishesaz
mshishehsaz@scu.ac.ir
3
Department of Mechanical Engineering, Shahid Chamran University of ahvaz, Ahvaz, Iran
AUTHOR
[1] J. Alexander, An approximate analysis of the collapse of thin cylindrical shells under axial loading, The Quarterly Journal of Mechanics and Applied Mathematics, Vol. 13, No. 1, pp. 10-15, 1960.
1
[2] T. Wierzbicki, W. Abramowicz, On the crushing mechanics of thin-walled structures, Journal of Applied mechanics, Vol. 50, No. 4a, pp. 727-734, 1983.
2
[3] W. A. N. Jones, W. Abramowicz, Dynamic axial crushing of square tubes, International Journal of Impact Engineering, Vol. 2, pp. 179-208, 1984.
3
[4] W. Abramowicz, T. Wierzbicki, Axial crushing of multicorner sheet metal columns, Journal of Applied Mechanics, Vol. 56, No. 1, pp. 113-120, 1989.
4
[5] M. White, N. Jones, W. Abramowicz, A theoretical analysis for the quasi-static axial crushing of top-hat and double-hat thin-walled sections, International Journal of Mechanical Sciences, Vol. 41, No. 2, pp. 209-233, 1999.
5
[6] A. Najafi, M. Rais-Rohani, Mechanics of axial plastic collapse in multi-cell, multi-corner crush tubes, Thin-Walled Structures, Vol. 49, No. 1, pp. 1-12, 2011.
6
[7] W. Hao, J. Xie, F. Wang, Theoretical prediction of the progressive buckling and energy absorption of the sinusoidal corrugated tube subjected to axial crushing, Computers & Structures, Vol. 191, pp. 12-21, 2017.
7
[8] W. Hong, F. Jin, J. Zhou, Z. Xia, Y. Xu, L. Yang, Q. Zheng, H. Fan, Quasi-static axial compression of triangular steel tubes, Thin-Walled Structures, Vol. 62, pp. 10-17, 2013.
8
[9] G. Martínez, C. Graciano, P. Teixeira, Energy absorption of axially crushed expanded metal tubes, Thin-Walled Structures, Vol. 71, pp. 134-146, 2013.
9
[10] T. Wierzbicki, W. Abramowicz, The mechanics of deep plastic collapse of thin walled structures, Jones N, Wierzbicki T, editors. Structural failure, pp. 281–329, 1989.
10
[11] X. Zhang, H. Huh, Crushing analysis of polygonal columns and angle elements, International Journal of Impact Engineering, Vol. 37, No. 4, pp. 441-451, 2010.
11
[12] X. Zhang, H. Zhang, Crush resistance of square tubes with various thickness configurations, International Journal of Mechanical Sciences, Vol. 107, pp. 58-68, 2016.
12
[13] J. Song, Y. Zhou, F. Guo, A relationship between progressive collapse and initial buckling for tubular structures under axial loading, International Journal of Mechanical Sciences, Vol. 75, pp. 200-211, 2013.
13
[14] S. Liu, Z. Tong, Z. Tang, Y. Liu, Z. Zhang, Bionic design modification of non-convex multi-corner thin-walled columns for improving energy absorption through adding bulkheads, Thin-Walled Structures, Vol. 88, pp. 70-81, 2015.
14
[15] Y. Tao, S. Duan, W. Wen, Y. Pei, D. Fang, Enhanced out-of-plane crushing strength and energy absorption of in-plane graded honeycombs, Composites Part B: Engineering, Vol. 118, pp. 33-40, 2017.
15
[16] M. Macaulay, R. Redwood, Small scale model railway coaches under impact, The Engineer, Vol. 218, pp. 1041-1046, 1964.
16
[17] A. Pugsley, The crumpling of tubular structures under impact conditions, in Proceeding of, 33-41.
17
[18] A. Coppa, New ways to soften shock, Machine Design, Vol. 28, pp. 130-140, 1968.
18
[19] A. A. Ezra, An assessment of energy absorbing devices for prospective use in aircraft impact situations, in Proceeding of, Pergamon Press, pp.
19
[20] S. Reid, T. Reddy, Axially loaded metal tubes as impact energy absorbers, in: Inelastic behaviour of plates and shells, Eds., pp. 569-595: Springer, 1986.
20
[21] W. Abramowicz, N. Jones, Dynamic progressive buckling of circular and square tubes, International Journal of Impact Engineering, Vol. 4, No. 4, pp. 243-270, 1986.
21
[22] W. Abramowicz, Thin-walled structures as impact energy absorbers, Thin-Walled Structures, Vol. 41, No. 2, pp. 91-107, 2003.
22
[23] J. Fang, Y. Gao, G. Sun, N. Qiu, Q. Li, On design of multi-cell tubes under axial and oblique impact loads, Thin-Walled Structures, Vol. 95, pp. 115-126, 2015.
23
[24] H. Sun, J. Wang, G. Shen, P. Hu, Energy absorption of aluminum alloy thin-walled tubes under axial impact, Journal of Mechanical Science and Technology, Vol. 30, No. 7, pp. 3105-3111, 2016.
24
[25] D. Karagiozova, M. Alves, Dynamic elastic-plastic buckling of structural elements: a review, Applied Mechanics Reviews, Vol. 61, No. 4, pp. 040803, 2008.
25
[26] T. Tran, S. Hou, X. Han, M. Chau, Crushing analysis and numerical optimization of angle element structures under axial impact loading, Composite Structures, Vol. 119, pp. 422-435, 2015.
26
[27] C. Zhou, B. Wang, J. Ma, Z. You, Dynamic axial crushing of origami crash boxes, International journal of mechanical sciences, Vol. 118, pp. 1-12, 2016.
27
[28] M. Costas, J. Díaz, L. Romera, S. Hernández, A multi-objective surrogate-based optimization of the crashworthiness of a hybrid impact absorber, International Journal of Mechanical Sciences, Vol. 88, pp. 46-54, 2014.
28
[29] S. Ebrahimi, N. Vahdatazad, Multiobjective optimization and sensitivity analysis of honeycomb sandwich cylindrical columns under axial crushing loads, Thin-Walled Structures, Vol. 88, pp. 90-104, 2015.
29
[30] A. Jusuf, T. Dirgantara, L. Gunawan, I. S. Putra, Crashworthiness analysis of multi-cell prismatic structures, International Journal of Impact Engineering, Vol. 78, pp. 34-50, 2015.
30
[31] A. P. Meran, T. Toprak, A. Muğan, Numerical and experimental study of crashworthiness parameters of honeycomb structures, Thin-Walled Structures, Vol. 78, pp. 87-94, 2014.
31
[32] M. Bambach, M. Elchalakani, Plastic mechanism analysis of steel SHS strengthened with CFRP under large axial deformation, Thin-walled structures, Vol. 45, No. 2, pp. 159-170, 2007.
32
[33] A. Farajpour, A. Rastgoo, M. Farajpour, Nonlinear buckling analysis of magneto-electro-elastic CNT-MT hybrid nanoshells based on the nonlocal continuum mechanics, Composite Structures, Vol. 180, pp. 179-191, 2017.
33
[34] A. Rajaneesh, I. Sridhar, S. Rajendran, Relative performance of metal and polymeric foam sandwich plates under low velocity impact, International Journal of Impact Engineering, Vol. 65, pp. 126-136, 2014.
34
[35] L. Aktay, A. K. Toksoy, M. Güden, Quasi-static axial crushing of extruded polystyrene foam-filled thin-walled aluminum tubes: experimental and numerical analysis, Materials & design, Vol. 27, No. 7, pp. 556-565, 2006.
35
[36] M. Shishesaz, M. Kharazi, P. Hosseini, M. Hosseini, Buckling Behavior of Composite Plates with a Pre-central Circular Delamination Defect under in-Plane Uniaxial Compression, Journal of Computational Applied Mechanics, Vol. 48, No. 1, pp. 12, 2017.
36
[37] B. W. Schafer, The direct strength method of cold-formed steel member design, Journal of constructional steel research, Vol. 64, No. 7-8, pp. 766-778, 2008.
37
[38] B. Schafer, Local, distortional, and Euler buckling of thin-walled columns, Journal of structural engineering, Vol. 128, No. 3, pp. 289-299, 2002.
38
[39] S. P. Timoshenko, Stability of bars, plates, and shells, International Applied Mechanics, Vol. 7, No. 10, pp. 1175-1176, 1971.
39
ORIGINAL_ARTICLE
A preconditioned solver for sharp resolution of multiphase flows at all Mach numbers
A preconditioned five-equation two-phase model coupled with an interface sharpening technique is introduced for simulation of a wide range of multiphase flows with both high and low Mach regimes. Harten-Lax-van Leer-Contact (HLLC) Riemann solver is implemented for solving the discretized equations while tangent of hyperbola for interface capturing (THINC) interface sharpening method is applied to reduce the excessive diffusion of the method at the interface. In this work, preconditioning technique is used in a system of equations including viscous and capillary effects. Several one- and two-dimensional test cases are used to evaluate the performance and accuracy of this method. Numerical results demonstrate the efficiency of preconditioning in low Mach number flows. Comparisons between results of preconditioned and conventional system highlight the necessity of using preconditioning technique to reproduce main characteristics of low-speed flow regimes. Additionally, preconditioned systems transform to the conventional systems at high Mach number flows thus exhibiting the same level of accuracy as the standard flow solver. Therefore, the preconditioned compressible two-phase method can be used as an all-speed two-phase flow solver accounting for capillary and viscous stresses.
https://jcamech.ut.ac.ir/article_68327_a17490451c6c32f680a4a82d4f19aa81.pdf
2019-06-01
41
53
10.22059/jcamech.2018.254180.246
Interface capturing
Multi-phase flows
Preconditioning
Five-equation model
Interface sharpening
Pooria
Hadikhani
pooria.hadikhani@epfl.ch
1
School of Mechanical Engineering, College of Engineering University of Tehran, Tehran, Iran
AUTHOR
Sahand
Majidi
s_majidi@sbu.ac.ir
2
Faculty of Mechanical and Energy Engineering, Shahid Beheshti University, A.C., Tehran, Iran
AUTHOR
Asghar
Afshari
afsharia@ut.ac.ir
3
School of Mechanical Engineering, College of Engineering University of Tehran, Tehran, Iran
LEAD_AUTHOR
[1] F. Salvador, J.-V. Romero, M.-D. Roselló, D. Jaramillo, Numerical simulation of primary atomization in diesel spray at low injection pressure, Journal of Computational and Applied Mathematics, 2015.
1
[2] R. B. Medvitz, R. F. Kunz, D. A. Boger, J. W. Lindau, A. M. Yocum, L. L. Pauley, Performance analysis of cavitating flow in centrifugal pumps using multiphase CFD, Journal of Fluids Engineering, Vol. 124, No. 2, pp. 377-383, 2002.
2
[3] R. Kolakaluri, S. Subramaniam, M. Panchagnula, Trends in multiphase modeling and simulation of sprays, International Journal of Spray and Combustion Dynamics, Vol. 6, No. 4, pp. 317-356, 2014.
3
[4] A. Irannejad, F. Jaberi, Numerical study of high speed evaporating sprays, International Journal of Multiphase Flow, Vol. 70, pp. 58-76, 2015.
4
[5] S. Subramaniam, Lagrangian–Eulerian methods for multiphase flows, Progress in Energy and Combustion Science, Vol. 39, No. 2, pp. 215-245, 2013.
5
[6] R. O. Fox, Large-eddy-simulation tools for multiphase flows, Annual Review of Fluid Mechanics, Vol. 44, pp. 47-76, 2012.
6
[7] R. Saurel, O. Lemetayer, A multiphase model for compressible flows with interfaces, shocks, detonation waves and cavitation, Journal of Fluid Mechanics, Vol. 431, pp. 239-271, 2001.
7
[8] S. O. Unverdi, G. Tryggvason, A front-tracking method for viscous, incompressible, multi-fluid flows, Journal of computational physics, Vol. 100, No. 1, pp. 25-37, 1992.
8
[9] V. Coralic, T. Colonius, Finite-volume WENO scheme for viscous compressible multicomponent flows, Journal of computational physics, Vol. 274, pp. 95-121, 2014.
9
[10] D. A. Drew, S. L. Passman, Theory of multicomponent fluids, volume 135 of Applied Mathematical Sciences, Springer-Verlag, New York, 1999.
10
[11] D. A. Drew, Mathematical modeling of two-phase flow, DTIC Document, pp. 1982.
11
[12] M. Baer, J. Nunziato, A two-phase mixture theory for the deflagration-to-detonation transition (DDT) in reactive granular materials, International journal of multiphase flow, Vol. 12, No. 6, pp. 861-889, 1986.
12
[13] R. Saurel, R. Abgrall, A multiphase Godunov method for compressible multifluid and multiphase flows, Journal of Computational Physics, Vol. 150, No. 2, pp. 425-467, 1999.
13
[14] S. Kuila, T. R. Sekhar, D. Zeidan, A Robust and accurate Riemann solver for a compressible two-phase flow model, Applied Mathematics and Computation, Vol. 265, pp. 681-695, 2015.
14
[15] C.-T. Ha, W.-G. Park, C.-M. Jung, Numerical simulations of compressible flows using multi-fluid models, International Journal of Multiphase Flow, Vol. 74, pp. 5-18, 2015.
15
[16] A. Murrone, H. Guillard, A five equation reduced model for compressible two phase flow problems, Journal of Computational Physics, Vol. 202, No. 2, pp. 664-698, 2005.
16
[17] G. Perigaud, R. Saurel, A compressible flow model with capillary effects, Journal of Computational Physics, Vol. 209, No. 1, pp. 139-178, 2005.
17
[18] F. Xiao, S. Ii, C. Chen, Revisit to the THINC scheme: a simple algebraic VOF algorithm, Journal of Computational Physics, Vol. 230, No. 19, pp. 7086-7092, 2011.
18
[19] K. So, X. Hu, N. Adams, Anti-diffusion interface sharpening technique for two-phase compressible flow simulations, Journal of Computational Physics, Vol. 231, No. 11, pp. 4304-4323, 2012.
19
[20] A. Tiwari, J. B. Freund, C. Pantano, A diffuse interface model with immiscibility preservation, Journal of computational physics, Vol. 252, pp. 290-309, 2013.
20
[21] R. K. Shukla, C. Pantano, J. B. Freund, An interface capturing method for the simulation of multi-phase compressible flows, Journal of Computational Physics, Vol. 229, No. 19, pp. 7411-7439, 2010.
21
[22] H. Luo, J. D. Baum, R. Lohner, Extension of Harten-Lax-van Leer Scheme for Flows at All Speeds, AIAA journal, Vol. 43, No. 6, pp. 1160-1166, 2005.
22
[23] Y. Rong, Y. Wei, A flux vector splitting scheme for low Mach number flows in preconditioning method, Applied Mathematics and Computation, Vol. 242, pp. 296-308, 2014.
23
[24] E. Turkel, Preconditioning techniques in computational fluid dynamics, Annual Review of Fluid Mechanics, Vol. 31, No. 1, pp. 385-416, 1999.
24
[25] E. Turkel, V. Vasta, R. Radespiel, Preconditioning Methods for Low-Speed Flows, DTIC Document, pp. 1996.
25
[26] S. LeMartelot, B. Nkonga, R. Saurel, Liquid and liquid–gas flows at all speeds, Journal of Computational Physics, Vol. 255, pp. 53-82, 2013.
26
[27] E. Turkel, Preconditioned methods for solving the incompressible and low speed compressible equations, Journal of computational physics, Vol. 72, No. 2, pp. 277-298, 1987.
27
[28] X.-s. Li, C.-w. Gu, Mechanism and Improvement of the Harten-Lax-van Leer Scheme for All-Speed Flows, arXiv preprint arXiv:1111.4885, 2011.
28
[29] A. Murrone, H. Guillard, Behavior of upwind scheme in the low Mach number limit: III. Preconditioned dissipation for a five equation two phase model, Computers & Fluids, Vol. 37, No. 10, pp. 1209-1224, 2008.
29
[30] E. F. Toro, 2009, Riemann solvers and numerical methods for fluid dynamics: a practical introduction, Springer Science & Business Media,
30
[31] A. Harten, P. D. Lax, B. v. Leer, On upstream differencing and Godunov-type schemes for hyperbolic conservation laws, SIAM review, Vol. 25, No. 1, pp. 35-61, 1983.
31
[32] K.-M. Shyue, F. Xiao, An Eulerian interface sharpening algorithm for compressible two-phase flow: The algebraic THINC approach, Journal of Computational Physics, Vol. 268, pp. 326-354, 2014.
32
[33] K.-M. Shyue, An efficient shock-capturing algorithm for compressible multicomponent problems, Journal of Computational Physics, Vol. 142, No. 1, pp. 208-242, 1998.
33
[34] F. Harlow, A. Amsden, Fluid dynamics: A LASL monograph(Mathematical solutions for problems in fluid dynamics), 1971.
34
[35] T. FlÅtten, A. Morin, S. T. Munkejord, On solutions to equilibrium problems for systems of stiffened gases, SIAM Journal on Applied Mathematics, Vol. 71, No. 1, pp. 41-67, 2011.
35
[36] B. van Leer, Towards the ultimate conservative difference scheme, Journal of Computational Physics, Vol. 135, No. 2, pp. 229-248, 1997.
36
[37] J. Brackbill, D. B. Kothe, C. Zemach, A continuum method for modeling surface tension, Journal of computational physics, Vol. 100, No. 2, pp. 335-354, 1992.
37
[38] N. T. Nguyen, M. Dumbser, A path-conservative finite volume scheme for compressible multi-phase flows with surface tension, Applied Mathematics and Computation, Vol. 271, pp. 959-978, 2015.
38
[39] H. Terashima, G. Tryggvason, A front-tracking/ghost-fluid method for fluid interfaces in compressible flows, Journal of Computational Physics, Vol. 228, No. 11, pp. 4012-4037, 2009.
39
[40] R. R. Nourgaliev, T.-N. Dinh, T. G. Theofanous, Adaptive characteristics-based matching for compressible multifluid dynamics, Journal of Computational Physics, Vol. 213, No. 2, pp. 500-529, 2006.
40
[41] N. Bourne, J. Field, Bubble collapse and the initiation of explosion, in Proceeding of, The Royal Society, pp. 423-435.
41
[42] S. Majidi, A. Afshari, A ghost fluid method for sharp interface simulations of compressible multiphase flows, Journal of Mechanical Science and Technology, Vol. 30, No. 4, pp. 1581-1593, 2016.
42
[43] K.-M. Shyue, A wave-propagation based volume tracking method for compressible multicomponent flow in two space dimensions, Journal of Computational Physics, Vol. 215, No. 1, pp. 219-244, 2006.
43
[44] X. Hu, N. Adams, G. Iaccarino, On the HLLC Riemann solver for interface interaction in compressible multi-fluid flow, Journal of Computational Physics, Vol. 228, No. 17, pp. 6572-6589, 2009.
44
[45] J. W. Grove, R. Menikoff, Anomalous reflection of a shock wave at a fluid interface, Journal of Fluid Mechanics, Vol. 219, pp. 313-336, 1990.
45
[46] D. E. Fyfe, E. S. Oran, M. Fritts, Surface tension and viscosity with Lagrangian hydrodynamics on a triangular mesh, Journal of Computational Physics, Vol. 76, No. 2, pp. 349-384, 1988.
46
[47] J. Martin, W. Moyce, Part IV. An experimental study of the collapse of liquid columns on a rigid horizontal plane, Philosophical Transactions of the Royal Society of London A: Mathematical, Physical and Engineering Sciences, Vol. 244, No. 882, pp. 312-324, 1952.
47
[48] H. Guillard, C. Viozat, On the behaviour of upwind schemes in the low Mach number limit, Computers & fluids, Vol. 28, No. 1, pp. 63-86, 1999.
48
[49] S. Hysing, S. Turek, D. Kuzmin, N. Parolini, E. Burman, S. Ganesan, L. Tobiska, Quantitative benchmark computations of two‐dimensional bubble dynamics, International Journal for Numerical Methods in Fluids, Vol. 60, No. 11, pp. 1259-1288, 2009.
49
[50] R. Clift, J. R. Grace, M. E. Weber, 2005, Bubbles, drops, and particles, Courier Corporation,
50
ORIGINAL_ARTICLE
Numerical study of the effect of the tip gap size and using a single circumferential groove on the performance of a multistage compressor
The effect of the tip gap size on the performance of a multistage axial compressor was studied by means of computational fluid dynamics (CFD). It was found that the performance of the compressor was very sensitive to the size of the tip gap. By increasing the gap size, the stall margin value, the total pressure ratio and the compressor efficiency reduced considerably. The flow field at the tip region of the blades at the near-stall point showed that the size of the blockage grew with an increase in the gap size. Afterward, the effect of various single circumferential grooves- having specified widths and depths at different placement positions- on the performance were investigated in the reference gap. The stall margin increased about 7% with negligible reduction of the peak efficiency using one of the grooves which placed next to the trailing edge of the first-stage rotor. Also, this groove increased the stall margin in other tip gap sizes. Investigation of the flow field of the tip region in the reference gap showed that when the groove was used, there was a reduction in the back-flow near the trailing edge of the first-stage rotor. Consequently, the stall occurred at a lower mass flow rate.
https://jcamech.ut.ac.ir/article_70505_d59a7df17c0cf7a034e64beed1a9782e.pdf
2019-06-01
54
62
10.22059/jcamech.2018.257242.278
Circumferential groove
Multistage compressor
Tip gap
Stall margin
CFD
Morteza
Hamzezade
hamzezade@mut-es.ac.ir
1
Faculty of Mechanical Engineering, Malek Ashtar University of Technology, Isfahan, Iran
AUTHOR
Mohsen
Agha Seyed Mirzabozorg
mirzabozorg@mut-es.ac.ir
2
Faculty of Mechanical Engineering, Malek Ashtar University of Technology, Isfahan, Iran
LEAD_AUTHOR
Mehrdad
Bazazzadeh
bazazzadeh@mut-es.ac.ir
3
Faculty of Mechanical Engineering, Malek Ashtar University of Technology, Isfahan, Iran
AUTHOR
[1] R. D. Moore, G. Kovich, R. J. Blade, Effect of casing treatment on overall and blade element performance of a compressor rotor, 1971.
1
[2] D. Prince, D. Wisler, D. Hilvers, A study of casing treatment stall margin improvement phenomena, in Proceeding of, American Society of Mechanical Engineers, pp. V01AT01A059-V01AT01A059.
2
[3] L. M. Wenzel, J. E. Moss, C. M. Mehalic, 1975, Effect of casing treatment on performance of a multistage compressor, National Aeronautics and Space Administration,
3
[4] A. Azimian, R. Elder, A. McKenzie, Application of recess vaned casing treatment to axial flow fans, Journal of Turbomachinery, Vol. 112, No. 1, pp. 145-150, 1990.
4
[5] A. Crook, E. M. Greitzer, C. Tan, J. Adamczyk, Numerical simulation of compressor endwall and casing treatment flow phenomena, Journal of turbomachinery, Vol. 115, No. 3, pp. 501-512, 1993.
5
[6] H. Fujita, H. TAKATA, A study on configurations of casing treatment for axial flow compressors, Bulletin of JSME, Vol. 27, No. 230, pp. 1675-1681, 1984.
6
[7] B. H. Beheshti, J. A. Teixeira, P. C. Ivey, K. Ghorbanian, B. Farhanieh, Parametric study of tip clearance–casing treatment on performance and stability of a transonic axial compressor, in Proceeding of, American Society of Mechanical Engineers, pp. 395-404.
7
[8] C. Guinet, J. A. Streit, H.-P. Kau, V. Gümmer, Tip gap variation on a transonic rotor in the presence of tip blowing, in Proceeding of, American Society of Mechanical Engineers, pp. V02AT37A002-V02AT37A002.
8
[9] S. Puterbaugh, M. Brendel, Tip clearance flow-shock interaction in a transonic compressor rotor, Journal of propulsion and power, Vol. 13, No. 1, pp. 24-30, 1997.
9
[10] M. Furukawa, M. Inoue, K. Saiki, K. Yamada, The role of tip leakage vortex breakdown in compressor rotor aerodynamics, in Proceeding of, American Society of Mechanical Engineers, pp. V001T01A054-V001T01A054.
10
[11] M. Furukawa, K. Saiki, K. Yamada, M. Inoue, Unsteady flow behavior due to breakdown of tip leakage vortex in an axial compressor rotor at near-stall condition, in Proceeding of, American Society of Mechanical Engineers, pp. V001T03A112-V001T03A112.
11
[12] I. Wilke, H.-P. Kau, A numerical investigation of the influence of casing treatments on the tip leakage flow in a HPC front stage, in Proceeding of, American Society of Mechanical Engineers, pp. 1155-1165.
12
[13] Y. Ito, T. Watanabe, T. Himeno, Effects of endwall contouring on flow instability of transonic compressor, Int. J. Gas Turb. Propul. Power Sys, Vol. 2, No. 1, pp. 24-29, 2008.
13
[14] H. D. Vo, C. S. Tan, E. M. Greitzer, Criteria for spike initiated rotating stall, Journal of turbomachinery, Vol. 130, No. 1, pp. 011023, 2008.
14
[15] J.-P. Chen, M. D. Hathaway, G. P. Herrick, Prestall behavior of a transonic axial compressor stage via time-accurate numerical simulation, Journal of Turbomachinery, Vol. 130, No. 4, pp. 041014, 2008.
15
[16] G. Legras, N. Gourdain, I. Trebinjac, Numerical analysis of the tip leakage flow field in a transonic axial compressor with circumferential casing treatment, Journal of Thermal Science, Vol. 19, No. 3, pp. 198-205, 2010.
16
[17] T. Kroeckel, S. Hiller, P. Jeschke, Application of a multistage casing treatment in a high speed axial compressor test rig, in Proceeding of, American Society of Mechanical Engineers, pp. 309-318.
17
[18] D.-W. Kim, J.-H. Kim, K.-Y. Kim, Aerodynamic performance of an axial compressor with a casing groove combined with injection, Transactions of the Canadian Society for Mechanical Engineering, Vol. 37, No. 3, pp. 283-292, 2013.
18
[19] R. Taghavi-Zenouz, S. Eslami, Effects of casing treatment on behavior of tip leakage flow in an isolated axial compressor rotor blade row, Journal of the Chinese Institute of Engineers, Vol. 36, No. 7, pp. 819-830, 2013.
19
[20] J.-H. Kim, K.-J. Choi, K.-Y. Kim, Aerodynamic analysis and optimization of a transonic axial compressor with casing grooves to improve operating stability, Aerospace Science and Technology, Vol. 29, No. 1, pp. 81-91, 2013.
20
[21] J. Kim, K. Choi, K. Kim, Performance evaluation of a transonic axial compressor with circumferential casing grooves, Proceedings of the Institution of Mechanical Engineers, Part A: Journal of Power and Energy, Vol. 226, No. 2, pp. 218-230, 2012.
21
[22] J. H. Kim, K. Y. Kim, K. H. Cha, Effects of number of circumferential casing grooves on stall flow characteristics of a transonic axial compressor, in Proceeding of, Trans Tech Publ, pp. 727-732.
22
[23] Y. Sakuma, T. Watanabe, T. Himeno, D. Kato, T. Murooka, Y. Shuto, Numerical analysis of flow in a transonic compressor with a single circumferential casing groove: influence of groove location and depth on flow instability, Journal of Turbomachinery, Vol. 136, No. 3, pp. 031017, 2014.
23
[24] X. Zhou, Q. Zhao, X. Xiang, W. Cui, Investigation of groove casing treatment in a transonic compressor at different speeds with control volume method, Proceedings of the Institution of Mechanical Engineers, Part G: Journal of Aerospace Engineering, Vol. 230, No. 13, pp. 2392-2408, 2016.
24
[25] M. A. S. Mirzabozorg, M. Bazazzadeh, M. Hamzezade, Numerical study on the effect of single shallow circumferential groove casing treatment on the flow field and the stability of a transonic compressor, Journal of Applied Fluid Mechanics, Vol. 10, No. 1, pp. 257-265, 2017.
25
[26] F. Menter, J. C. Ferreira, T. Esch, B. Konno, A. Germany, The SST turbulence model with improved wall treatment for heat transfer predictions in gas turbines, in Proceeding of, 2-7.
26
[27] F. R. Menter, Review of the shear-stress transport turbulence model experience from an industrial perspective, International Journal of Computational Fluid Dynamics, Vol. 23, No. 4, pp. 305-316, 2009.
27
[28] S. L. Dixon, C. Hall, 2010, Fluid mechanics and thermodynamics of turbomachinery, Butterworth-Heinemann,
28
[29] J. Dunham, CFD validation for propulsion system components (la validation CFD des organes des propulseurs), ADVISORY GROUP FOR AEROSPACE RESEARCH AND DEVELOPMENT NEUILLY-SUR-SEINE (FRANCE), pp. 1998.
29
ORIGINAL_ARTICLE
Axially Forced Vibration Analysis of Cracked a Nanorod
Thisstudy presents axially forced vibration of a cracked nanorod under harmonic external dynamically load. In constitutive equation of problem, the nonlocal elasticity theory is used. The Crack is modelled as an axial spring in the crack section. In the axial spring model, the nonrod separates two sub-nanorods and the flexibility of the axial spring represents the effect of the crack. Boundary condition of the nanorod is selected as fixed-free and a harmonic load is subjected at the free end of the nanorod. Governing equation of the problem is obtained by using equilibrium conditions. In the solution of the governing equation, analytical solution is presented and exact expressions are tained for the forced vibration problem. On the solution method, the separation of variable is implemented and the forced vibration displacements are obtained exactly. In the open literature, the forced vibration analysis of the cracked nanorod has not been investigated broadly. The objective of this study is to fill this blank for cracked nanorods. In numerical results, influences of the crack parameter, position of crack, the nonlocal parameter and dynamic load parameters on forced vibration responses of the cracked nanorod are presented and discussed.
https://jcamech.ut.ac.ir/article_71222_8f5aeb3ff430217039aaedc6ca6dcd09.pdf
2019-06-01
63
68
10.22059/jcamech.2019.281285.392
Nanorods
Crack
Nonlocal Elasticity Theory
Forced Vibration Analysis
Şeref
Akbaş
serefda@yahoo.com
1
Civil Engineering, Engineering Fac., Bursa Technical University, Bursa,Turkey
LEAD_AUTHOR
Eringen A.C., 1972, Nonlocal polar elastic continua, International Journal of Engineering Science, 10(1): 1-16.
1
Eringen A.C., 1983, On differential equations of nonlocal elasticity and solutions of screw dislocation and surface waves, Journal of Applied Physics, 54: 4703–10.
2
Toupin R.A., 1962 Elastic materials with couple stresses. Archive for Rational Mechanics and Analysis, 11(1): 385–414.
3
Lam D.C.C., Yang F., Chong A.C.M., Wang J. and Tong P., 2003, Experiments and theory in strain gradient elasticity, Journal of the Mechanics and Physics of Solids, 51(8): 1477–508.
4
Mindlin R.D. and Tiersten H.F., 1962, Effects of couple-stresses in linear elasticity, Archive for Rational Mechanics and Analysis, 11(1): 415–48.
5
Mindlin R.D., 1963, Influence of couple-stresses on stress concentrations, Experimental mechanics, 3(1): 1–7.
6
Yang F., Chong A., Lam D. and Tong P., 2002, Couple stress based strain gradient theory for elasticity, International Journal of Solids and Structures. 39(10): 2731-2743.
7
Park S.K. and Gao X.L., 2006, Bernoulli–Euler beam model based on a modified couple stress theory, Journal of Micromechanics and Microengineering, 16(11): 2355-2359.
8
Hasanyan D.J., Batra R.C. and Harutyunyan S., 2008, Pull-in instabilities in functionally graded microthermoelectromechanical systems, J Therm Stresses, 31: 1006–21.
9
Loya J., López-Puente J., Zaera R. and Fernández-Sáez J., 2009, Free transverse vibrations of cracked nanobeams using a nonlocal elasticity model, Journal of Applied Physics, 105(4):044309.
10
Civalek Ö., Demir Ç. and Akgöz B., 2009, Static analysis of single walled carbon nanotubes (SWCNT) based on Eringen’s nonlocal elasticity theory, International Journal Of Engineering & Applied Sciences, 1(2): 47-56.
11
Reddy J.N., 2010, Nonlocal nonlinear formulations for bending of classical and shear deformation theories of beams and plates, International Journal of Engineering Science, 48(11): 1507-1518.
12
Reddy J.N., 2011, Microstructure-dependent couple stress theories of functionally graded beams, Journal of the Mechanics and Physics of Solids, 59(11): 2382-2399.
13
Hasheminejad B.S.M., Gheshlaghi B., Mirzaei Y., Abbasion S., 2011, Free transverse vibrations of cracked nanobeams with surface effects, Thin Solid Films, 519: 2477-2482.
14
Liu P. and Reddy J.N., 2011, A Nonlocal curved beam model based on a modified couple stress theory, International Journal of Structural Stability and Dynamics, 11(3):495-512.
15
Ansari R., Gholami R. and Sahmani S., 2011, Free vibration analysis of size-dependent functionally graded microbeams based on the strain gradient Timoshenko beam theory, Composite Structures, 94(1): 221-228.
16
Wang C.M., Xiang Y., Yang J. and Kitipornchai S. 2012, Buckling of nano-rings/arches based on nonlocal elasticity. International Journal of Applied Mechanics, 4(03):1250025.
17
Asghari M., Ahmadian M.T., Kahrobaiyan M.H. and Rahaeifard M., 2010, On the size-dependent behavior of functionally graded micro-beams. Materials and Design, 31(5):2324-2329.
18
Belkorissat I., Houari M.S.A., Tounsi A., Bedia E.A. and Mahmoud, S. R., 2015. On vibration properties of functionally graded nano-plate using a new nonlocal refined four variable model, Steel and Composite Structures, 18(4):1063-1081.
19
Akgöz B. and Civalek Ö., 2013, Free vibration analysis of axially functionally graded tapered Bernoulli-Euler microbeams based on the modified couple stress theory. Composite Structures, 98:314-322.
20
Akgöz B. and Civalek Ö., 2014, Longitudinal vibration analysis for microbars based on strain gradient elasticity theory, Journal of Vibration and Control, 20(4): 606-616.
21
Karličić D., Cajić M., Murmu T. and Adhikari, S., 2015, Nonlocal longitudinal vibration of viscoelastic coupled double-nanorod systems, European Journal of Mechanics-A/Solids, 49:183-196.
22
Kocatürk T. and Akbaş Ş.D. (2013), Wave propagation in a microbeam based on the modified couple stress theory, Structural Engineering and Mechanics, 46(3): 417-431.
23
Sedighi H.M. 2014, The influence of small scale on the pull-in behavior of nonlocal nanobridges considering surface effect, Casimir and Van der Waals attractions, International Journal of Applied Mechanics, 6(03): 1450030.
24
Al-Basyouni K.S., Tounsi A. and Mahmoud S.R., 2015, Size dependent bending and vibration analysis of functionally graded micro beams based on modified couple stress theory and neutral surface position, Composite Structures, 125: 621-630.
25
Şimşek M., 2016, Axial Vibration Analysis of a Nanorod Embedded in Elastic Medium Using Nonlocal Strain Gradient Theory, Journal of Cukurova University Faculty of Engineering, 31(1): 213-222.
26
Chaht F.L., Kaci A., Houari M.S.A., Tounsi A., Bég O.A. and Mahmoud S.R., 2015, Bending and buckling analyses of functionally graded material (FGM) size-dependent nanoscale beams including the thickness stretching effect, Steel and Composite Structures, 18(2): 425-442.
27
Akbaş Ş.D., 2016, Forced vibration analysis of viscoelastic nanobeams embedded in an elastic medium. Smart Structures and Systems, 18(6): 1125-1143.
28
Akbaş Ş.D., 2017, Forced vibration analysis of functionally graded nanobeams, International Journal of Applied Mechanics, 9(07): 1750100.
29
Arda M. and Aydogdu M., 2017, Longitudinal Vibration of CNTs Viscously Damped in Span, International Journal Of Engineering & Applied Sciences, 9(2): 22-38.
30
Eren M. and Aydogdu M. 2018, Finite strain nonlinear longitudinal vibration of nanorods. Advances in Nano Research, 6(4): 323-337.
31
Uzun B., Numanoglu H. and Civalek O. (2018), Free vibration analysis of BNNT with different cross-Sections via nonlocal FEM. Journal of Computational Applied Mechanics, 49(2): 252-260.
32
Arda M. and Aydogdu M. (2018), Longitudinal magnetic field effect on torsional vibration of carbon nanotubes. Journal of Computational Applied Mechanics, 49(2): 304-313.
33
Zargaripoor A., Daneshmehr A., Isaac Hosseini I. and Rajabpoor A. (2018), Free vibration analysis of nanoplates made of functionally graded materials based on nonlocal elasticity theory using finite element method. Journal of Computational Applied Mechanics, 49(1): 86-101.
34
Ke L.L., Wang Y.S., Yang J. and Kitipornchai S., 2012, Nonlinear free vibration of size-dependent functionally graded microbeams, International International Journal of Engineering Science, 50(1): 256-267.
35
Kordani N., Fereidoon A., Divsalar M. and Farajpour A. (2016), Forced vibration of piezoelectric nanowires based on nonlocal elasticity theory. Journal of Computational Applied Mechanics, 47(2):137-150.
36
Zakeri M., Attarnejad R. and Ershadbakhsh A.M. (2016), Analysis of Euler-Bernoulli nanobeams: A mechanical-based solution. Journal of Computational Applied Mechanics, 47(2):159-180.
37
Ebrahimi F. and Shafiei N. 2016, “Application of Eringen’s nonlocal elasticity theory for vibration analysis of rotating functionally graded nanobeams”, Smart Struct. Syst., Int. J., 17(5), 837-857.
38
Ebrahimi F., Barati M.R. and Haghi P. 2017, “Wave propagation analysis of size-dependent rotating inhomogeneous nanobeams based on nonlocal elasticity theory”, J. Vib. Control, 1077546317711537.
39
Ahouel M., Houari M.S.A., Bedia E.A. and Tounsi A. 2016, “Size-dependent mechanical behavior of functionally graded trigonometric shear deformable nanobeams including neutral surface position concept”, Steel Compos. Struct., Int. J., 20(5): 963-981.
40
Aissani K., Bouiadjra M.B., Ahouel M. and Tounsi A. 2015, “A new nonlocal hyperbolic shear deformation theory for nanobeams embedded in an elastic medium”, Struct. Eng. Mech., Int. J., 55(4): 743-763.
41
Bellifa H., Benrahou K.H., Bousahla A.A., Tounsi A. and Mahmoud, S.R. 2017, “A nonlocal zeroth-order shear deformation theory for nonlinear postbuckling of nanobeams”, Struct. Eng. Mech., Int. J., 62(6). 695-702.
42
Hadji L., Zouatnia N., Meziane M.A.A. and Kassoul A. 2017, A simple quasi-3D sinusoidal shear deformation theory with stretching effect for carbon nanotube-reinforced composite beams resting on elastic foundation. Earthquakes and Structures, 13(5): 509-518.
43
Hosseini M., Shishesaz M. and Hadi, A. 2019, Thermoelastic analysis of rotating functionally graded micro/nanodisks of variable thickness. Thin-Walled Structures, 134, 508-523.
44
Hosseini M., Shishesaz M., Tahan K.N. and Hadi A. 2016, Stress analysis of rotating nano-disks of variable thickness made of functionally graded materials. International Journal of Engineering Science, 109, 29-53.
45
Hadi A., Nejad M.Z. and Hosseini M. 2018, Vibrations of three-dimensionally graded nanobeams. International Journal of Engineering Science, 128, 12-23.
46
Hadi A., Nejad M.Z., Rastgoo A. and Hosseini, M. 2018, Buckling analysis of FGM Euler-Bernoulli nano-beams with 3D-varying properties based on consistent couple-stress theory. Steel and Composite Structures, 26(6), 663-672.
47
Akbaş Ş.D. 2016, Static analysis of a nano plate by using generalized differential quadrature method. International Journal of Engineering & Applied Sciences, 8(2), 30-39.
48
Shishesaz M., Hosseini M., Tahan K.N. and Hadi A. 2017, Analysis of functionally graded nanodisks under thermoelastic loading based on the strain gradient theory. Acta Mechanica, 228(12), 4141-4168.
49
Moradi A., Yaghootian A., Jalalvand M. and Ghanbarzadeh A. 2018, Magneto-Thermo mechanical vibration analysis of FG nanoplate embedded on Visco Pasternak foundation. Journal of Computational Applied Mechanics, 49(2), 395-407.
50
Nejad M.Z., Hadi A., Omidvari A. and Rastgoo A. 2018, Bending analysis of bi-directional functionally graded Euler-Bernoulli nano-beams using integral form of Eringen's non-local elasticity theory. Structural Engineering and Mechanics, 67(4), 417-425.
51
Hasheminejad BSM Gheshlaghi B Mirzaei Y Abbasion S (2011), Free transverse vibrations of cracked nanobeams with surface effects. Thin Solid Films 519: 2477-2482.
52
Loya J López-Puente J Zaera R Fernández-Sáez J (2009), Free transverse vibrations of cracked nanobeams using a nonlocal elasticity model. Journal of Applied Physics 105: 044309.
53
Roostai H and Haghpanahi M (2014), Vibration of nanobeams of different boundary conditions with multiple cracks based on nonlocal elasticity theory. Applied Mathematical Modelling 38:1159–1169.
54
Liu SJ Qi SH Zhang WM (2013), Vibration behavior of a cracked micro-cantilever beam under electrostatic excitation. Zhendong yu Chongji/Journal of Vibration and Shock 32:41-45.
55
Torabi K and Nafar Dastgerdi J (2012), An analytical method for free vibration analysis of Timoshenko beam theory applied to cracked nanobeams using a nonlocal elasticity model. Thin Solid Films 520: 6595-6602.
56
Wang K Wang B (2015), Timoshenko beam model for the vibration analysis of a cracked nanobeam with surface energy. Journal of Vibration and Control Doi: 10.1177/1077546313513054.
57
Tadi Beni Y Jafari A Razavi H (2015), Size Effect on Free Transverse Vibration of Cracked Nano-beams using Couple Stress Theory. International Journal of Engineering 28:296-304.
58
Yaylı MO Çerçevik AE (2015), Axial vibration analysis of cracked nanorods with arbitrary boundary conditions. Journal of Vibroengineering 17:2907-2921.
59
Stamenković M Karličić D Goran J and Kozić P (2016), Nonlocal forced vibration of a double single-walled carbon nanotube system under the influence of an axial magnetic field. Journal of Mechanics of Materials and Structures 11:279-307.
60
Peng X-L Li X-F. Tang G-J. Shen Z-B (2015), Effect of scale parameter on the deflection of a nonlocal beam and application to energy release rate of a crack. ZAMM - Journal of Applied Mathematics and Mechanics 95: 1428–1438.
61
Akbaş ŞD (2016), Analytical solutions for static bending of edge cracked micro beams. Structural Engineering and Mechanics, 59: 579-599.
62
Akbaş ŞD (2017), Free vibration of edge cracked functionally graded microscale beams based on the modified couple stress theory. International Journal of Structural Stability and Dynamics 17: 1750033.
63
Akbaş Ş.D. (2018), Forced vibration analysis of cracked nanobeams. Journal of the Brazilian Society of Mechanical Sciences and Engineering, 40(8), 392.
64
Akbaş Ş. D. (2018), Forced vibration analysis of cracked functionally graded microbeams. Advances in Nano Research, 6(1), 39-55.
65
Hsu J.C., Lee H.L. and Chang W.J. (2011), Longitudinal vibration of cracked nanobeams using nonlocal elasticity theory. Current Applied Physics, 11(6): 1384-1388.
66
Rahmani O., Hosseini S.A H., Noroozi Moghaddam M.H. and Fakhari Golpayegani I. (2015), Torsional vibration of cracked nanobeam based on nonlocal stress theory with various boundary conditions: an analytical study. International Journal of Applied Mechanics, 7(03): 1550036.
67
Sourki R. and Hoseini, S.A.H. (2016), Free vibration analysis of size-dependent cracked microbeam based on the modified couple stress theory. Applied Physics A, 122(4): 413.
68
Singh K.V. (2009), Transcendental inverse eigenvalue problems in damage parameter estimation. Mechanical Systems and Signal Processing, 23(6): 1870-1883.
69
ORIGINAL_ARTICLE
Vibration suppression analysis for laminated composite beams embedded actuating magnetostrictive layers
This paper presents the analysis of vibration control of a laminated composite beam that including magnetostrictive layers. The formulation of problem is presented based on the shear deformation beam theory. For vibration suppression, the velocity feedback control with constant gain distributed is considered. Navier's method is applied to analyze the solution of vibration suppression of laminated beam with the simply-supported boundary conditions. The influence of lamination schemes, modes, number of smart layers at the structure, the control gain of the agnetic field intensity and smart layer position on suppress of the vibration are discussed. In addition, the ntrolled motion of some special laminated composite beam is tested.
https://jcamech.ut.ac.ir/article_70830_bcbd167a0a1d54de2506879d50f4ed1c.pdf
2019-06-01
69
75
10.22059/jcamech.2019.279153.384
Laminated composite beam
vibration control
magnetostrictive material
shear deformation theory
Ashraf
Zenkour
zenkour@gmail.com
1
Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, SAUDI ARABIA
LEAD_AUTHOR
Hela
El-Shahrany
hela_111_222@hotmail.com
2
Department of Mathematics, Faculty of Science, Kafrelsheikh University, Kafrelsheikh 33516, EGYPT
AUTHOR
Goodfriend M.J, Shoop K.M., 1992, Adaptive characteristics of the magnetostrictive alloy, Terfenol-D, for active vibration control, Journal of Intelligent Material Systems and Structures 3: 245-254.
1
Reddy J.N., Barbosa J.I., 2000, On vibration suppression of magnetostrictive beams, Smart Materials and Structures 9: 49-58.
2
Reddy J.N., 1997, Mechanics of Laminated Composite Plates: Theory and Analysis, CRC Press, Boca Raton, FL.
3
Murty A.V.K., Anjanappa M., Wu Y-F., Bhattacharya B., Bhat M.S., 1998, Vibration suppression of laminated composite beams using embedded magnetostrictive layers, Institution of Engineers (India) Journal of Aerospace 78: 38-44.
4
Pradhan S.C., Ng T.Y., Lam K.Y., Reddy J.N., 2001, Control of laminated composite plates using magnetostrictive layers, Smart Materials and Structures 10: 1-11.
5
Kumar J.S., Ganesan N., Swarnamani S., Padmanabhan C., 2004, Active control of simply supported plates with a magnetostrictive layer, Smart Materials and Structures 13(3): 487-492.
6
Zhang Y., Zhou H., Zhou Y., 2015, Vibration suppression of cantilever laminated composite plate with nonlinear giant magnetostrictive material layers, Acta Mechanica Solida Sinca 28: 50-60.
7
Subramanian P., 2002, Vibration suppression of symmetric laminated composite beams, Smart Materials and Structures 11(6): 880–885.
8
Kumar J.S., Ganesan N., Swarnamani S., Padmanabhan C., 2003, Active control of beam with magnetostrictive layer, Computers and Structures 81(13): 1375-1382.
9
Ghosh D.P., Gopalakrishnan S., 2005, Coupled analysis of composite laminate with embedded magnetostrictive patches, Smart Materials and Structures 14(6): 1462-1473.
10
Zhou H.M., Zhou Y.H., 2007, Vibration suppression of laminated composite beams using actuators of giant magnetostrictive materials, Smart Materials and Structures 16(1): 198-206.
11
Murty A.V.K., Anjanappa M., Wu Y-F, 1997, The use magnetostrictive particle actuators for vibration attenuation of flexible beams, Journal of Sound and Vibrations 206(2): 133-149.
12
Lee S.J., Reddy J.N., Rostam-Abadi F., 2004, Transient analysis of laminated composite plates with embedded smart-material layers, Finite Elements in Analysis and Design 40(5-6): 463-483.
13
Snowdon J.N., 1968, Vibration and Shock in Damped Mechanical Systems, Wiley, New York.
14
Rostam-Abadi F., Reddy J.N., Lee S.J., 2002, Vibration suppression of cross-ply laminated plates with magnetostrictive layers, Proceedings of SECTAM XXI.
15
Reddy J.N., 2002, Energy Principles and Variational Methods in Applied Mechanics, Wiley, New York.
16
Hiller M.W., Bryant M.D., Umegaki J., 1989, Attenuation and transformation of vibration through active control of magnetostrictive Terfenol, Journal of Sound and Vibrations 134: 507-519.
17
Pratt J.R., Flatau A.B., 1995, Development and analysis of self-sensing magnetostrictive actuator design Journal of Intelligent Material Systems and Structures 6: 639-648.
18
Anjanappa M., Bi J., 1993, Modelling, design and control of embedded Terfenol-D actuator, Smart Structures and Intelligent Systems 1917: 908-918.
19
Anjanappa M., Bi J., 1994, A theoretical and experimental study of magnetostrictive mini actuators, Smart Materials and Structures 1: 83-91.
20
Arani A.G., Maraghi Z.K., 2016, A feedback control system for vibration of magnetostrictive plate subjected to follower force using sinusoidal shear deformation theory, Ain Shams Engineering Journal 7(1): 361-369.
21
Reddy J.N., 1999, On laminated composite plates with integrated sensors and actuators, Engineering Structures 21(7): 568-593.
22
Koconis D.B., Kollar L.P., Springer G.S., 1994, Shape control of composite plates and shells with embedded actuators I: voltage specified, Journal of Composite Materials 28: 415-458.
23
Shankar G., Kumar S.K., Mahato P.K., 2017, Vibration analysis and control of smart composite plates with delamination and under hygrothermal environment, Thin-Walled Structures 116: 53-68.
24
Arani A.G., Maraghi Z.K., Arani H.K., 2017, Vibration control of magnetostrictive plate under multi-physical loads via trigonometric higher order shear deformation theory, Journal of Vibration and Control 23(19): 3057-3070.
25
Li J., Ma Z., Wang Z., Narita Y., 2016, Random vibration control of laminated composite plates with piezoelectric fiber reinforced composites, Acta Mechanica Solida Sinca 29(3): 316-327.
26
Zenkour A.M., 2015, Thermal bending of layered composite plates resting on foundations using four-unknown shear and normal deformations theory, Composite Structures 122: 260-270.
27
Li J., Narita Y., 2013, Vibration suppression for laminated composite plates with arbitrary boundary conditions, Mechanics of Composite Materials 49(5): 519-530.
28
Song G., Qiao P.Z., Binienda W.K., Zou G.P., 2002, Active vibration damping of composite beam using smart sensors and actuators, Journal of Aerospace Engineering 15(3): 97-103.
29
Kim H.S., Sohn J.W., Choi S.B., 2011, Vibration control of a cylindrical shell structure using macro fiber composite actuators, Mechanics Based Design of Structures and Machines 39(4): 491-506.
30
Touratier M., 1991, An efficient standard plate theory, International Journal of Engineering Science 29(8): 901-916.
31
Zenkour A.M., 2013, Bending analysis of functionally graded sandwich plates using a simple four-unknown shear and normal deformations theory, Journal of Sandwich Structures and Materials 15(6): 629-656.
32
Zenkour A.M., 2013, A simple four-unknown refined theory for bending analysis of functionally graded plates, Applied Mathematical Modelling 37(20-21): 9041-9051.
33
Zenkour A.M., 2013, Bending of FGM plates by a simplified four-unknown shear and normal deformations theory, International Journal of Applied Mechanics 5(2): 1350020, 1-15.
34
Al Khateeb S.A., Zenkour A.M., 2014, A refined four-unknown plate theory for advanced plates resting on elastic foundations in hygrothermal environment, Composite Structures 111(1): 240-248.
35
Zenkour A.M., 2015, A simplified four-unknown shear and normal deformations theory for bidirectional laminated plates, Sādhanā 40(1): 215-234.
36
Bouazza M., Zenkour A.M., N. Benseddiq, 2018, Closed-from solutions for thermal buckling analyses of advanced nanoplates according to a hyperbolic four-variable refined theory with small-scale effects, Acta Mechanica 229(5): 2251-2265.
37
Farajpour A., Yazdi M.R.H., Rastgoo A., Loghmani M., Mohammadi M., 2016, Nonlocal nonlinear plate model for large amplitude vibration of magneto-electro-elastic nanoplates, Composite Structures 140: 323-336.
38
ORIGINAL_ARTICLE
Dynamics, Stability Analysis and Control of a Mammal-Like Octopod Robot Driven by Different Central Pattern Generators
In this paper, we studied numerically both kinematic and dynamic models of a biologically inspired mammal-like octopod robot walking with a tetrapod gait. Three different nonlinear oscillators were used to drive the robot’s legs working as central pattern generators. In addition, also a new, relatively simple and efficient model was proposed and investigated. The introduced model of the gait generator allowed us to obtain better both kinematic and dynamic parameters of motion of the robot walking in different directions. By changing the length and the height of a single step of the robot, we introduced in a simple way the initial, rhythmic and terminal phases of the robot gait. For numerical research and to visualization of the walking process, we developed a simulation model of the investigated robot in Mathematica software. We computed displacement, velocity and acceleration of the center of the robot’s body, fluctuations in the zero moment point of the robot and the ground reaction forces acting on the feet of the robot. The obtained results indicated some advantages of the proposed central pattern generator regarding fluctuations in the robot’s body, the minimum value of dynamic stability margin as well as the minimum value of a friction coefficient which is necessary to avoid slipping between the ground and the robot’s feet during walking process. Eventually, the proposed model of gait also allowed us to control the vertical position of the robot during walking in different directions.
https://jcamech.ut.ac.ir/article_70560_a91f01ec079e91bc381d9ac363fe0eff.pdf
2019-06-01
76
89
10.22059/jcamech.2019.278583.375
Octopod
Robot gait
Legged motion
Robot stability
Robot control
Dariusz
Grzelczyk
dariusz.grzelczyk@p.lodz.pl
1
Department of Automation, Biomechanics and Mechatronics, Lodz University of Technology, 1/15 Stefanowski Street, Lodz, Poland
LEAD_AUTHOR
Jan
Awrejcewicz
jan.awrejcewicz@p.lodz.pl
2
Department of Automation, Biomechanics and Mechatronics, Lodz University of Technology, 1/15 Stefanowski Street, Lodz, Poland
AUTHOR
[1] F. Tedeschi, G. Carbone, Design of a novel leg-wheel hexapod walking robot, Robotics, Vol. 6, No. 4, pp. 40, 2017.
1
[2] K. Lagaza, A. Pandey, A literature review on motion planning of hexapod machines using different soft computing methods, Global Journal of Engineering, Science and Social Science Studies, Vol. 3, No. 1, pp. 1-10, 2018.
2
[3] X. Chen, L. Wang, X. Ye, G. Wang, H. Wang, Prototype development and gait planning of biologically inspired multi-legged crablike robot, Mechatronics, Vol. 23, No. 4, pp. 429-444, 2013.
3
[4] G. Chen, B. Jin, Y. Chen, Tripod gait-based turning gait of a six-legged walking robot, Journal of Mechanical Science and Technology, Vol. 31, No. 3, pp. 1401-1411, 2017.
4
[5] D. Grzelczyk, J. Awrejcewicz, Modeling and control of an eight-legged walking robot driven by different gait generators, International Journal of Structural Stability and Dynamics, Vol. 19, No. 5, pp. 1941009-1 - 1941009-23, 2019.
5
[6] D. Grzelczyk, O. Szymanowska, J. Awrejcewicz, Kinematic and dynamic simulation of an octopod robot controlled by different central pattern generators, Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering, Vol. 233, No. 4, pp. 400-417, 2019.
6
[7] A. Mahapatra, S.S. Roy, Computer aided dynamic simulation of six-legged robot, International Journal of Recent Trends in Engineering, Vol. 2, No. 2, pp. 146-151, 2009.
7
[8] X. Rong, Y. Li, J. Ruan, B. Li, Design and simulation for a hydraulic actuated quadruped robot, Journal of Mechanical Science Technology, Vol. 26, No. 4, pp. 1171-1177, 2012.
8
[9] W. Chen, G. Ren, J. Zhang, J. Wang, Smooth transition between different gaits of a hexapod robot via a central pattern generators algorithm, Journal of Intelligent & Robotic Systems, Vol 67, No. 3-4, pp. 255-270, 2012.
9
[10] Ig Mo Koo, Tran Duc Trong, Tae Hun Kang, GiaLoc Vo, Young Kuk Song, Chang Min Lee, Hyouk Ryeol Choi, 2007, Control of a quadruped walking robot based on biologically inspired approach, in: Proceedings of the 2007 IEEE/RSJ International Conference on Intelligent Robots and Systems, San Diego, CA, USA, October 29 – November 2, 2007, 2969-2974.
10
[11] Ig Mo Koo, Tae Hun Kang, Gia Loc Vo, Tran Duc Trong, Young Kuk Song, Hyouk Ryeol Choi, Biologically inspired control of quadruped walking robot, International Journal of Control, Automation and Systems, Vol. 7, No. 4, pp. 577-584, 2009.
11
[12] S.S. Roy, D.K. Pratihar, Kinematics, dynamics and power consumption analyses for turning motion of a six legged robot, Journal of Intelligent & Robotic Systems, Vol. 74. No. 3-4, pp. 663-688, 2014.
12
[13] V.A. Makarov, E.D. Rio, M.G. Bedia, M.G. Velarde, W. Ebeling, Central pattern generator incorporating the actuator dynamics for a hexapod robot, International Journal of Electrical and Computer Engineering, Vol. 2. No. 3, pp. 498-503, 2008.
13
[14] M. Vukobratovic, B. Borovac, Zero-Moment point – thirty five years of its live, International Journal of Humanoid Robotics, Vol. 1, No. 1, pp. 157-173, 2004.
14
[15] J.H. Park, Y.K. Rhee, ZMP trajectory generation for reduced trunk motions of biped robots, in: Proceedings of IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS'98), Victoria, Canada, 1998, 90-95.
15
[16] A.D. Kuo, The relative roles of feedforward and feedback in the control of rhythmic movements, Motor Control, Vol. 6, No. 2, pp. 129-145, 2002.
16
[17] K. Nakada, T. Asai, Y. Amemiya, An analog neural oscillator circuit for locomotion controller in quadruped walking robot, in: Proceedings of the International Joint Conference on Neural Networks, Portland, OR, USA, 20-24 July 2003, 2: 983-988 (10.1109/IJCNN.2003.1223824), 2003.
17
[18] S.L. Hooper, Central pattern generators, Current Biology, Vol. 10, No. 5, pp. R176-R179, 2000.
18
[19] S. Rossignol, Locomotion and its recovery after spinal injury, Current Opinion in Neurobiology, Vol. 10, No. 6, pp. 708-716, 2000.
19
[20] J. Buchli, L. Righetti, A.J. Ijspeert, Engineering entrainment and adaptation in limit cycle systems - from biological inspiration to applications in robotics, Biological Cybernetics, Vol. 95, No. 6, pp. 645-664, 2006.
20
[21] A.C. de Pina Filho, M.S. Dutra, Application of hybrid van der Pol-Rayleigh oscillators for modeling of a bipedal robot, in: Mechanics of Solids in Brazil 2009, edited by H.S. da Costa Mattos, Marcílio Alves, Brazilian Society of Mechanical Sciences and Engineering, ISBN 978-85-85769-43-7, 209-221, 2009.
21
[22] V.A. Makarov, W. Ebeling, M.G. Velarde, Soliton-like waves on dissipative toda lattice, International Journal of Bifurcation and Chaos, Vol. 10, No. 5, pp. 1075-1089, 2000.
22
[23] A. Dvorak, P. Kuzma, P. Perlikowski, V. Astakhov, T. Kapitaniak, Dynamics of three Toda oscillators with nonlinear unidirectional coupling, The European Physical Journal Special Topics, Vol. 222, No. 10, pp. 2429-2439, 2013.
23
[24] A. Dvorak, V. Astakhov, P. Perlikowski, T. Kapitaniak, Nonlinear resonance and synchronization in the ring of unidirectionally coupled Toda oscillators, The European Physical Journal Special Topics, Vol. 225, No. 13-14, pp. 2635-2643, 2016.
24
[25] S. Rutishauser, L. Righetti, A.J. Ijspeert, Passive compliant quadruped robot using central pattern generators for locomotion control, in: Proceeding of the 2nd Biennial IEEE/RAS-EMBS International Conference on Biomedical Robotics and Biomechatronics, 19-22 October 2008, Scottsdale, AZ, USA, 710-715, 2008.
25
[26] K. Seo, S-J. Chung, J-J.E. Slotine, CPG-based control of a turtle-like underwater vehicle, Autonomous Robots, Vol. 28, No. 3, pp. 247-269, 2010.
26
[27] B. Zhong, S. Zhang, M. Xu, Y. Zhou, T. Fang, W. Li, On a CPG-based hexapod robot: amphiHex-II with variable stiffness legs, IEEE/ASME Transactions on Mechatronics, Vol. 23, No. 2, pp. 542-551, 2018.
27
[28] Y. Zhu, Y. Wu, Q. Liu, T. Guo, R. Qin, J. Hui, A backward control based on σ-Hopf oscillator with decoupled parameters for smooth locomotion of bio-inspired legged robot, Robotics and Autonomous Systems, Vol. 106, pp. 165-178, 2018.
28
[29] P. Veskos, Y. Demiris, Robot swinging using van der Pol nonlinear oscillators, in: Proceedings of the Third International Symposium on Adaptive Motion of Animals and Machines, September 25-30, 2005, Ilmenau, Germany, 4 pages, 2005.
29
[30] P. Veskos, Y. Demiris, Experimental comparison of the van der Pol and Rayleigh nonlinear oscillators for a robotic swinging task, in: Proceedings of the AISB 2006 Conference, Adaptation in Artificial and Biological Systems, 3-6 April 2006, Bristol, England, 197-202, 2006.
30
[31] C. Liu, Q. Chen, J. Zhang, Coupled van der Pol oscillators utilised as central pattern generators for quadruped locomotion, in: Proceedings of the 2009 Chinese Control and Decision Conference, 17-19 June 2009, Guilin, China, 3677-3682, 2009.
31
[32] N. Kuwata, Y. Hoshi, B.T. Nohara, Analysis of coupled van der Pol oscillators and implementation to a myriapod robot, in: Proceedings of the 17th World Congress The International Federation of Automatic Control, Seoul, Korea, July 6-11, 2008, 767-772..
32
[33] M. Piątek, A. Turnau, Hexapod - six-legged walking robot controlled with Toda-Rayleigh lattice, Bio-Algorithms and Med-Systems, Vol. 8, No. 1, pp. 111-121, 2012.
33
[34] J. Nishii, Legged insects select the optimal locomotor pattern based on the energetic cost, Biological Cybernetics, Vol. 83, No. 5, pp. 435-442, 2000.
34
ORIGINAL_ARTICLE
Nonlocal thermoelastic semi-infinite medium with variable thermal conductivity due to a laser short-pulse
In this article, the thermoelastic interactions in an isotropic and homogeneous semi-infinite medium with variable thermal conductivity caused by an ultra-short pulsed laser heating based on the linear nonlocal theory of elasticity has been considered. We consider that the thermal conductivity of the material is dependent on the temperature. The surface of the surrounding plane of the medium is heated by an ultra-short pulse laser. Basic equations are solved along with the corresponding boundary conditions numerically by means of the Laplace transform technique. The influences of the rise time of the laser pulse, as well as the nonlocal parameter on thermoelastic wave propagation in the medium, have also been investigated in detail. Presented numerical results, graphs and discussions in this work lead to some important deductions. The results obtained here will be useful for researchers in nonlocal material science, low-temperature physicists, new materials designers, as well as to those who are working on the development of the theory of nonlocal thermoelasticity.
https://jcamech.ut.ac.ir/article_70477_0afdab47ceb684862838538930c43613.pdf
2019-06-01
90
98
10.22059/jcamech.2019.276608.366
Nonlocal thermos-elasticity
semi-infinite medium
ultrashort pulse laser
Ashraf
Zenkour
zenkour@gmail.com
1
Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, EGYPT
LEAD_AUTHOR
Ahmed
Abouelregal
ahabogal@gmail.com
2
Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, SAUDI ARABIA
AUTHOR
Wang X., Xu X., 2001, Thermoelastic wave induced by pulsed laser heating, Applied Physics A 73: 107-114.
1
Tzou D.Y., 1996, Macro- to Microscale Heat Transfer-The Lagging Behavior, Taylor and Francis, Washington.
2
Wang, X., Xu X., 2002, Thermoelastic wave in metal induced by ultrafast laser pulses, Journal of Thermal Stresses 25: 457-473.
3
Scruby C.B., Drain L.E., 1990, Laser Ultrasonics Techniques and Applications, Adam Hilger, Bristol, UK.
4
Qiu T.Q., Tien C.L., 1993, Heat transfer mechanisms during short-pulse laser heating of metals, ASME Journal of Heat Transfer 115: 835-841.
5
Miao L., and Massoudi M., 2015, Heat transfer analysis and flow of a slag-type fluid: Effects of variable thermal conductivity and viscosity, International Journal of Nonlinear Mechanics 76: 8-19.
6
Wang Y.Z., Liu D., Wang Q., Shu C., 2015, Thermoelastic response of thin plate with variable material properties under transient thermal shock, International Journal of Mechanical Sciences 104: 200-206.
7
Abouelregal A.E., 2011, Fractional order generalized thermo-piezoelectric semi-infinite medium with temperature-dependent properties subjected to a ramp-type heating, Journal of Thermal Stresses 11: 1139-1155.
8
Li C.L., Guo H.L., Tian X., Tian X.G., 2017, Transient response for a half-space with variable thermal conductivity and diffusivity under thermal and chemical shock, Journal of Thermal Stresses 40: 389–401.
9
Zenkour A.M., Abouelregal A.E., 2015, Nonlocal thermoelastic nanobeam subjected to a sinusoidal pulse heating and temperature-dependent physical properties, Microsystem Technologies 21: 1767-1776.
10
Zenkour A.M., Abouelregal A.E., Alnefaie K.A., Abu-Hamdeh N.H., 2017, Seebeck effect on a magneto-thermoelastic long solid cylinder with temperature-dependent thermal conductivity, European Journal of Pure and Applied Mathematics 10(4): 786-808.
11
A. M. Zenkour, A. E. Abouelregal, 2015, Effects of phase-lags in a thermoviscoelastic orthotropic continuum with a cylindrical hole and variable thermal conductivity, Archive of Mechanics 67(6): 457-475.
12
Dogonchi A.S., Ganji D.D., 2016, Convection-radiation heat transfer study of moving fin with temperature-dependent thermal conductivity, heat transfer and heat generation, Applied Thermal Engineering 103: 705-712.
13
Nowacki W., 1974, Dynamical problems of thermodiffusion in elastic solids, Proc. Vib. Probl. 15: 105-128.
14
Zenkour A.M., 2016, Effects of phase-lags and variable thermal conductivity in a thermoviscoelastic solid with a cylindrical cavity, Honam Mathematical Journal 38(3): 435-454.
15
Zenkour A.M., 2016, Effect of a temperature-dependent thermal conductivity on a fixed unbounded solid with a cylindrical cavity, U.P.B. Sci. Bull., Series A 78(4): 231-242.
16
Abouelregal A.E., Zenkour A.M., 2017, Thermoviscoelastic orthotropic solid cylinder with variable thermal conductivity subjected to temperature pulse heating, Earthquakes and Structures 13(2): 201-209.
17
Mashat D.S., Zenkour A.M., Abouelregal A.E., 2017, Thermoelastic interactions in a rotating infinite orthotropic elastic body with a cylindrical hole and variable thermal conductivity, Archive of Mechanical Engineering 64(4): 481-498.
18
Abouelregal A.E., Zenkour A.M., 2018, Nonlocal thermoelastic model for temperature-dependent thermal conductivity nanobeams due to dynamic varying loads, Microsystem Technologies 24(2): 1189-1199.
19
Eringen A.C., 1972, Nonlocal polar elastic continua, International Journal of Engineering Science 10: 1-16.
20
Eringen A.C., Edelen, D.G.B., 1972, On nonlocal elasticity, International Journal of Engineering Science 10: 233-248.
21
Eringen A.C., 1983, On differential equations of nonlocal elasticity and solutions of screw dislocation and surface waves, J. Appl. Phys. 54: 4703-4710.
22
Inan E., Eringen A.C., 1991, Nonlocal theory of wave propagation in thermoelastic plates, International Journal of Engineering Science 29, 831-843.
23
Zenkour A.M., Abouelregal A.E., 2014, Nonlocal thermoelastic vibrations for variable thermal conductivity nanobeams due to harmonically varying heat, Journal of Vibroengineering 16(8): 3665-3678.
24
Zenkour A.M., Abouelregal A.E., 2014, Vibration of FG nanobeams induced by sinusoidal pulse-heating via a nonlocal thermoelastic model, Acta Mechanica 225(12): 3409-3421.
25
Zenkour A.M., Abouelregal A.E., 2016, Nonlinear effects of thermo-sensitive nanobeams via a nonlocal thermoelasticity model with relaxation time, Microsystem Technologies 22(10): 2407-2415.
26
Zenkour A.M., Abouelregal A.E., Alnefaie K.A., Abu-Hamdeh N.H., Aljinaidi A.A., Aifantis E.C., 2015, State space approach for the vibration of nanobeams based on the nonlocal thermoelasticity theory without energy dissipation, Journal of Mechanical Science and Technology 29 (7): 2921-2931.
27
Abouelregal A.E., Mohamed B.O., 2018, Fractional order thermoelasticity for a functionally graded thermoelastic nanobeam induced by a sinusoidal pulse heating, Journal of Computational and Theoretical Nanoscience 15(4): 1233-1242.
28
Nejad M.Z., Hadi A., Rastgoo A., 2016, Buckling analysis of arbitrary two-directional functionally graded Euler-Bernoulli nano-beams based on nonlocal elasticity theory, International Journal of Engineering Science 103: 1-10.
29
A. Daneshmehr, A. Rajabpoor, and A. Hadi, Size dependent free vibration analysis of nanoplates made of functionally graded materials based on nonlocal elasticity theory with high order theories, International Journal of Engineering Science, 95, 23-35, 2015.
30
Zamani N.M., Hadi A., 2016, Non-local analysis of free vibration of bi-directional functionally graded Euler-Bernoulli nano-beams, International Journal of Engineering Science 105: 1-11.
31
Nejad M.Z., Hadi A., 2016, Eringen's non-local elasticity theory for bending analysis of bi-directional functionally graded Euler-Bernoulli nano-beams, International Journal of Engineering Science 106: 1-9.
32
Lord H.W., Shulman Y., 1967, A generalized dynamical theory of thermoelasticity, Journal of Mechanics and Physics of Solids 15: 299-309.
33
Green A.E., Lindsay K.A., 1972, Thermoelasticity, Journal of Elasticity 2: 1-7.
34
Nowacki W., 1975, Dynamic Problems of Thermoelasticity, Noordhoff, Leyden, The Netherlands.
35
Noda N., Hetnarski, R.B., 1986, Thermal stresses in materials with temperature-dependent properties, thermal stresses I, North-Holland, Amsterdam.
36
Barletta A., Pulvirenti B., 1998, Hyperbolic thermal waves in a solid cylinder with a non-stationary boundary heat flux, International Journal of Heat and Mass Transfer 41: 107-116.
37
Honig G., Hirdes U., 1984, A method for the numerical inversion of Laplace transforms, Journal of Computational and Applied Mathematics 10(1): 113-132.
38
Sherief H.H., Hamza F.A., 2016, Modeling of variable thermal conductivity in a generalized thermoelastic infinitely long hollow cylinder, Meccanica 51: 551-558.
39
Wang Y., Liu D., Wang Q., Zhou J., 2015, Effect of fractional order parameter on thermoelastic behaviors of elastic medium with variable properties, Acta Mechanica Solida Sinica 28(6): 682-692.
40
Arias I., Achenbach J.D., 2003, Thermoelastic generation of ultrasound by line-focused laser irradiation, International Journal of Solids and Structures 40: 6917-6935.
41
McDonald, F.A., 1990, On the precursor in laser-generated ultrasound waveforms in metals, Applied Physics Letters 56(3): 230-232.
42
Qi H-T., Xua H-Y., Guo X-W., 2013, The Cattaneo-type time fractional heat conduction equation for laser heating, Computers and Mathematics with Applications 66: 824-831.
43
Li Y., Li L., Wei P., Wang C., 2018, Reflection and refraction of thermoelastic waves at an interface of two couple-stress solids based on Lord-Shulman thermoelastic theory, Applied Mathematical Modelling 55: 536-550.
44
Wang B.L., Li J.E., 2013, Hyperbolic heat conduction and associated transient thermal fracture for a piezoelectric material layer, International Journal of Solids and Structures 50: 1415-1424.
45
ORIGINAL_ARTICLE
Micro-cantilevered MEMS Biosensor for Detection of Malaria Protozoan Parasites
In this paper, the presented work aims to provide a designed model based on Finite element method for detection of Malaria protozoan parasites. Micro-cantilevers are next generation highly efficient biosensors for detection and prevention of any disease. Here, an E-shaped model for micro cantilevered biosensor is designed using COMSOL Multiphysics specifically for detection of Malaria. Microcantilever materials viz Au, Cu, Si and Pt are used for sensing Malaria protozoan with proper optimization of device structure. The studies were carried out for stress developed and displacement occurred due to force applied through these protozoan biomolecules and varying beam length. Further, the designed structure was analyzed for different beam materials available for biosensor and it was found that Au is best suitable material for detection of malaria protozoan parasites since it has best sensitivity profile among presented materials. The results were also verified through analytical approach and it was found that both results obtained through simulation and analytical methods do closely agree with each other.
https://jcamech.ut.ac.ir/article_69964_27ab0acba03c00df08093c7cab4c6537.pdf
2019-06-01
99
107
10.22059/jcamech.2019.276035.362
Biosensors
Malaria
MEMS
Microcantilever
Sensitivity
Kurmendra
.
kurmendra.nits@gmail.com
1
Department of Electronics & Communication Engineering, Rajiv Gandhi University (A Central University), Itanagar, India
LEAD_AUTHOR
Jagdeep
Rahul
jagdeeprahul11@gmail.com
2
Department of Electronics & Communication Engineering, Rajiv Gandhi University (A Central University), Itanagar, India
AUTHOR
Rajesh
Kumar
itsrk2006@gmail.com
3
Department of Electronics & Communication Engineering, NERIST, Nirjuli, India
AUTHOR
[1]. Rebeiz, G. M.,2003, RF MEMS, Theory Design and Technology. Hoboken, New Jersey: Wiley.
1
[2]. Kurmendra, Kumar R., 2019, MEMS based cantilever biosensors for cancer detection using potential bio-markers present in VOCs: a survey, Microsyst Technol. https://doi.org/10.1007/s00542-019-04326-1
2
[3]. World Malaria Report (2016) , ISBN: 978 92 4 151171 1, https://www.who.int/malaria/publications/world-malaria-report-2016/report/en/
3
[4]. Kurmendra, Kumar R, 2017, Design analysis, modeling and simulation of novel rectangular cantilever beam for MEMS sensors and Energy harvesting applications, Int. j. inf. tecnol., 9: 295. https://doi.org/10.1007/s41870-017-0035-6
4
[5]. Alper Sisman, Etki Gur, Sencer Ozturk, Burak Enez, Bilal Okur, Onur Toker, 2017, A Low-cost Biomarker-based SAW-Biosensor Design for Early Detection of Prostate Cancer, Procedia Technology, Volume 27, Pages 248-249, ISSN 2212-0173, https://doi.org/10.1016/j.protcy.2017.04.106.
5
[6]. Keith E. Herold, Avraham Rasooly, 2012, Biosensors and Molecular Technologies for Cancer Diagnostics, CRC Press.
6
[7]. Vidhya S., Mathew L. ,2009, Design and Analysis of MEMS based Cantilever Sensor for the Detection of Cardiac Markers in Acute Myocardial Infarction. In: Lim C.T., Goh J.C.H. (eds) 13th International Conference on Biomedical Engineering. IFMBE Proceedings, vol 23. Springer, Berlin, Heidelberg
7
[8]. Y. J. Zhao, A. Davidson, J. Bain, S. Q. Li, Q. Wang and Q. Lin, 2005, A MEMS viscometric glucose monitoring device, the 13th international conference on solid state sensors, Actuators and Microsystems, Digest of technical papers, Transducers’05, Seoul, South Korea, 1816-1819, vol.2, doi: 10.1109/SENSOR.2005.1497447
8
[9]. Osor Pertin, Kurmendra, 2018, Pull-in-voltage and RF analysis of MEMS based high performance capacitive shunt switch, Microelectronics Journal,Volume 77, 5-15, 0026-2692 doi: https://doi.org/10.1016/j.mejo.2018.05.001
9
[10].Lin F., Rais-Zadeh M., 2016, Tunable RF MEMS Filters: A Review. In: Bhushan B. (eds) Encyclopedia of Nanotechnology. Springer, Dordrecht
10
[11].Abdolvand, R.; Bahreyni, B.; Lee, J.E.-Y.; Nabki, F., 2016, Micromachined Resonators: A Review. Micromachines , 7, 160.
11
[12].K. S. N. Murthy, G. R. K. Prasad , N. L. N. V. Saikiran , T. V. S. Manoj, 2016, Design and Simulation of MEMS Biosensor for the Detection of Tuberculosis,ind. journ. of Sci. and techno., 9, 31.
12
[13].M. A. Saeed, S. M. Khan, N. Ahmed, M. U. Khan and A. Rehman, 2016, Design and analysis of capacitance-based Bio-MEMS cantilever sensor for tuberculosis detection, International Conference on Intelligent Systems Engineering (ICISE), Islamabad, pp. 175-180. doi: 10.1109/INTELSE.2016.7475116
13
[14].M.G.G. Jithendra Prasad, Syed Shameem, 2016, Design and Analysis of Micro-Cantilever Based Biosensor for Swine Flu Detection, International Journal of Electrical and Computer Engineering (IJECE), Vol. 6, No. 3, pp. 1190 ~ 1196 : 2088-8708, DOI: 10.11591/ijece.v6i3.9446
14
[15].Stoney, G. G., 1909, The Tension of Metallic Films Deposited by Electrolysis, Proc. R. Soc. London, Ser. A, 82, pp. 172–175.
15
[16].https://www.doitpoms.ac.uk/tlplib/beam_bending/bend_moments.php
16
[17].M Mohammadi, M Ghayour, A Farajpour, 2013, Free transverse vibration analysis of circular and annular graphene sheets with various boundary conditions using the nonlocal continuum plate model, Composites Part B: Engineering 45 (1), 32-42
17
[18].M Danesh, A Farajpour, M Mohammadi, 2012, Axial vibration analysis of a tapered nanorod based on nonlocal elasticity theory and differential quadrature method, Mechanics Research Communications 39 (1), 23-27.
18
[19].A Farajpour, M Mohammadi, AR Shahidi, M Mahzoon, 2011, Axisymmetric buckling of the circular graphene sheets with the nonlocal continuum plate model, Physica E: Low-dimensional Systems and Nanostructures 43 (10), 1820-1825
19
[20].A Farajpour, MRH Yazdi, A Rastgoo, M Mohammadi, 2016, A higher-order nonlocal strain gradient plate model for buckling of orthotropic nanoplates in thermal environment, Acta Mechanica 227 (7), 1849-1867.
20
[21].A Farajpour, MRH Yazdi, A Rastgoo, M Loghmani, M Mohammadi, 2016, Nonlocal nonlinear plate model for large amplitude vibration of magneto-electro-elastic nanoplates, Composite Structures 140, 323-336
21
[22].M Mohammadi, A Farajpour, A Moradi, M Ghayour,2014, Shear buckling of orthotropic rectangular graphene sheet embedded in an elastic medium in thermal environment, Composites Part B: Engineering 56, 629-637
22
[23].A Farajpour, M Danesh, M Mohammadi, 2011, Buckling analysis of variable thickness nanoplates using nonlocal continuum mechanics, Physica E: Low-dimensional Systems and Nanostructures 44 (3), 719-727
23
[24].SR Asemi, A Farajpour, M Mohammadi, 2014, Nonlinear vibration analysis of piezoelectric nanoelectromechanical resonators based on nonlocal elasticity theory, Composite Structures 116, 703-712
24
[25]., H Moosavi, M Mohammadi, A Farajpour, SH Shahidi, 2011, Vibration analysis of nanorings using nonlocal continuum mechanics and shear deformable ring theory, Physica E: Low-dimensional Systems and Nanostructures 44 (1), 135-140
25
[26].M Mohammadi, M Goodarzi, M Ghayour, A Farajpour, 2013, Influence of in-plane pre-load on the vibration frequency of circular graphene sheet via nonlocal continuum theory, Composites Part B: Engineering 51, 121-129
26
[27].MR Farajpour, A Rastgoo, A Farajpour, M Mohammadi, 2016, Vibration of piezoelectric nanofilm-based electromechanical sensors via higher-order non-local strain gradient theory, Micro & Nano Letters 11 (6), 302-307
27
[28].A Farajpour, A Rastgoo, M Mohammadi, 2014, Surface effects on the mechanical characteristics of microtubule networks in living cells, Mechanics Research Communications 57, 18-26
28
[29].M Mohammadi, M Safarabadi, A Rastgoo, A Farajpour, 2016, Hygro-mechanical vibration analysis of a rotating viscoelastic nanobeam embedded in a visco-Pasternak elastic medium and in a nonlinear thermal environment, Acta Mechanica 227 (8), 2207-2232
29
[30].M Goodarzi, M Mohammadi, A Farajpour, M Khooran, 2014, Investigation of the effect of pre-stressed on vibration frequency of rectangular nanoplate based on a visco-Pasternak foundation, JOURNAL OF SOLID MECHANICS 6 (1), 98-121
30
[31].SR Asemi, M Mohammadi, A Farajpour, 2014, A study on the nonlinear stability of orthotropic single-layered graphene sheet based on nonlocal elasticity theory, Latin American Journal of Solids and Structures 11 (9), 1515-1540
31
[32].M Mohammadi, A Farajpour, M Goodarzi, H Mohammadi, 2013, Temperature effect on vibration analysis of annular graphene sheet embedded on visco-Pasternak foundation, Journal of Solid Mechanics 5 (3), 305-323
32
[33].M Safarabadi, M Mohammadi, A Farajpour, M Goodarzi, 2015, Effect of surface energy on the vibration analysis of rotating nanobeam, Journal of Solid Mechanics 7 (3), 299-311
33
[34].M Goodarzi, M Mohammadi, M Khooran, F Saadi,2016, Thermo-mechanical vibration analysis of FG circular and annular nanoplate based on the visco-pasternak foundation, Journal of Solid Mechanics Vol 8 (4), 788-805
34
[35].M Mohammadi, M Ghayour, A Farajpour, 2011, Analysis of free vibration sector plate based on elastic medium by using new version differential quadrature method, Journal of solid mechanics in engineering 3 (2), 47-56
35
[36].M Mohammadi,A. Rastgoo, 2018, Primary and secondary resonance analysis of FG/lipid nanoplate with considering porosity distribution based on a nonlinear elastic medium , Mechanics of Advanced Materials and Structures, DOI: 10.1080/15376494.2018.1525453
36
[37].M. Mohammadi and A. Rastgoo, 2019, Nonlinear vibration analysis of the viscoelastic composite nanoplate with three directionally imperfect porous FG core, structural engineering and mechanics, pages 131-143. DOI: 10.12989/sem.2019.69.2.131
37
[38].Kurmendra, R. Kumar, 2019, Design and Simulation of MEMS shunt capacitive switch for lower switching time, Special Issue (2019): 3C TECHNOLOGY - EDITION 28-2. DOI: 10.17993/3ctecno.2019.specialissue.15
38
[39].Kurmendra, Kumar R., Pertin O. , 2019, Design of An Improved Micro-Electro-Mechanical-Systems Switch for RF Communication System. In: Khare A., Tiwary U., Sethi I., Singh N. (eds) Recent Trends in Communication, Computing, and Electronics. Lecture Notes in Electrical Engineering, vol 524. Springer, Singapore DOI: https://doi.org/10.1007/978-981-13-2685-1_1
39
[40].A. Chamuah, Kurmendra and R. Kumar, 2018, A Novel Structure for Piezoelectric Based MEMS Energy Harvester, 5th IEEE Uttar Pradesh Section International Conference on Electrical, Electronics and Computer Engineering (UPCON), Gorakhpur, 2018, pp. 1-4.
40
doi: 10.1109/UPCON.2018.8596823
41
ORIGINAL_ARTICLE
Design, Evaluation and Prototyping of a New Robotic Mechanism for Ultrasound Imaging
This paper presents a new robotic mechanism for ultrasound imaging. The device is placed on a patient's body by an operator, and an ultrasound expert controls the motions of the device to obtain ultrasound images. The paper focuses on the robotic mechanism that performs ultrasound imaging. The design of the mechanism is based on two approaches to produce center of motion for an ultrasound probe. This center of motion which is located on the tip of the ultrasound probe helps to create clear ultrasound images. Detailed designs, kinematic relationships, prototyping and ultrasound imaging tests are presented. A novel cabling mechanism is developed to create the center of motion required for ultrasound imaging. The mechanism provides all four necessary motions for ultrasound imaging by using two actuators which significantly reduces the weight of the device to make it suitable for portable ultrasound applications. The device has been successfully used for ultrasound imaging of kidney, gallbladder, liver, ovary and uterus of volunteer patients.
https://jcamech.ut.ac.ir/article_70504_fe80521591c41b8c62af81e73765731b.pdf
2019-06-01
108
117
10.22059/jcamech.2018.257439.282
Center of motion
Sonography
Robotic mechanism
Ultrasound imaging
Alireza
AbbasiMoshaii
al.abbasi@ut.ac.ir
1
Department of Mechanical Engineering, Tarbiat Modares University, Tehran, Iran
AUTHOR
Farshid
Najafi
farshid_najafi@ut.ac.ir
2
Department of Mechanical Engineering, University of Tehran, Tehran, Iran
LEAD_AUTHOR
[1] D. R. Swerdlow, K. Cleary, E. Wilson, B. Azizi-Koutenaei, R. Monfaredi, Robotic Arm–Assisted Sonography: Review of Technical Developments and Potential Clinical Applications, American Journal of Roentgenology, Vol. 208, No. 4, pp. 733-738, 2017.
1
[2] F. Najafi, N. Sepehri, A novel hand-controller for remote ultrasound imaging, Mechatronics, Vol. 18, No. 10, pp. 578-590, 2008.
2
[3] A. Abbasi Moshaii, F. Najafi, A review of robotic mechanisms for ultrasound examinations, Industrial Robot: An International Journal, Vol. 41, No. 4, pp. 373-380, 2014.
3
[4] M. Moeinzadeh, S. Davaria, F. Najafi, M. Haghighi-Yazdi, Design and Fabrication of a Portable 1-DOF Robotic Device for Indentation Tests, Journal of comptational applied mechanics, Vol. 48, No. 2, pp. 171-184, 2017.
4
[5] C. Delgorge, F. Courrèges, L. A. Bassit, C. Novales, C. Rosenberger, N. Smith-Guerin, C. Brù, R. Gilabert, M. Vannoni, G. Poisson, A tele-operated mobile ultrasound scanner using a light-weight robot, IEEE Transactions on Information Technology in Biomedicine, Vol. 9, No. 1, pp. 50-58, 2005.
5
[6] J. W. Sublett, B. J. Dempsey, A. C. Weaver, Design and implementation of a digital teleultrasound system for real-time remote diagnosis, In Computer-Based Medical Systems, 1995., Proceedings of the Eighth IEEE Symposium on, pp. 292-298. IEEE, 1995.
6
[7] E. Degoulange, L. Urbain, P. Caron, S. Boudet, J. Gariépy, J.-L. Megnien, F. Pierrot, E. Dombre, HIPPOCRATE: an intrinsically safe robot for medical applications, In Intelligent Robots and Systems, 1998. Proceedings., 1998 IEEE/RSJ International Conference on, vol. 2, pp. 959-964. IEEE, 1998..
7
[8] M. R. Lavaei, M. Mahjoob, A. Behjat, Stiffness control of a legged robot equipped with a serial manipulator in stance phase, JOURNAL OF COMPUTATIONAL APPLIED MECHANICS, Vol. 48, No. 1, pp. 27-38, 2017.
8
[9] S. E. Salcudean, W. H. Zhu, P. Abolmaesumi, S. Bachmann, P. D. Lawrence, A robot system for medical ultrasound, in: Robotics Research, Eds., pp. 195-202: Springer, 2000.
9
[10] K. Masuda, E. Kimura, N. Tateishi, K. Ishihara, Three dimensional motion mechanism of ultrasound probe and its application for tele-echography system, In Intelligent Robots and Systems, 2001. Proceedings. 2001 IEEE/RSJ International Conference on, vol. 2, pp. 1112-1116. IEEE, 2001.
10
[11] M. Mitsuishi, S. i. Warisawa, T. Tsuda, T. Higuchi, N. Koizumi, H. Hashizume, K. Fujiwara, Remote ultrasound diagnostic system, In Robotics and Automation, 2001. Proceedings 2001 ICRA. IEEE International Conference on, vol. 2, pp. 1567-1574. IEEE, 2001.
11
[12] N. Koizumi, S. i. Warisawa, H. Hashizume, M. Mitsuishi, Continuous Path Controller of Slave Manipulator for Remote Ultrasound Diagnostic System, Journal of the Robotics Society of Japan, Vol. 23, No. 5, pp. 619-628, 2005.
12
[13] M. Khorram, S. A. A. Moosavian, Dynamics modeling and stable gait planning of a quadruped robot in walking over uneven terrains, Journal of Computational Applied Mechanics, Vol. 46, No. 2, pp. 205-220, 2015.
13
[14] A. Vilchis, J. Troccaz, P. Cinquin, K. Masuda, F. Pellissier, A new robot architecture for tele-echography, IEEE Transactions on Robotics and Automation, Vol. 19, No. 5, pp. 922-926, 2003.
14
[15] S. Lessard, I. Bonev, P. Bigras, L.-G. Durand, G. Soulez, G. Cloutier, J. A. De Guise, Parallel robot for medical 3D-ultrasound imaging, In Industrial Electronics, 2006 IEEE International Symposium on, vol. 4, pp. 3102-3107. IEEE, 2006.
15
[16] J. Avila-Vilchis, A. Garcia-Torres, TERMI robot, In Electronics, Robotics and Automotive Mechanics Conference, 2007. CERMA 2007, pp. 464-469. IEEE, 2007.
16
[17] F. Najafi, N. Sepehri, A robotic wrist for remote ultrasound imaging, Mechanism and machine theory, Vol. 46, No. 8, pp. 1153-1170, 2011.
17
[18] R. Nakadate, Y. Tokunaga, J. Solis, A. Takanishi, E. Minagawa, M. Sugawara, K. Niki, A. Saito, Development of robot assisted measurement system for abdominal ultrasound diagnosis, In Biomedical Robotics and Biomechatronics (BioRob), 2010 3rd IEEE RAS and EMBS International Conference on, pp. 367-372. IEEE, 2010.
18
[19] K. Ito, S. Sugano, H. Iwata, Wearable echography robot for trauma patient, In Intelligent Robots and Systems (IROS), 2010 IEEE/RSJ International Conference on, pp. 4794-4799. IEEE, 2010.
19
[20] R. Monfaredi, E. Wilson, B. Azizi koutenaei, B. Labrecque, k. Leroy, J. Goldie, E. Louis, D. Swerdlow, K. Cleary, Robot-assisted ultrasound imaging: overview and development of a parallel telerobotic system, Minimally Invasive Therapy & Allied Technologies, Vol. 24, No. 1, pp. 54-62, 2015.
20
[21] A. Krupa, D. Folio, C. Novales, P. Vieyres, T. Li, Robotized tele-echography: an assisting visibility tool to support expert diagnostic, IEEE Systems Journal, Vol. 10, No. 3, pp. 974-983, 2016.
21
[22] K. Masuda, Y. Takachi, Y. Urayama, T. Yoshinaga, Development of support system to handle ultrasound probe by coordinated motion with medical robot, In Engineering in Medicine and Biology Society, EMBC, 2011 Annual International Conference of the IEEE, pp. 4519-4522. IEEE, 2011.
22
[23] P. M. Loschak, Y. Tenzer, A. Degirmenci, R. D. Howe, A 4-DOF robot for positioning ultrasound imaging catheters, in Proceeding of, American Society of Mechanical Engineers, pp. V05AT08A046-V05AT08A046, 2015.
23
[24] H. Ren, X. Gu, K. L. Tan, Human-compliant body-attached soft robots towards automatic cooperative ultrasound imaging, in Proceeding of, IEEE, pp. 653-658, 2016.
24
[25] L. Lindenroth, A. Soor, J. Hutchinson, A. Shafi, J. Back, K. Rhode, H. Liu, Design of a soft, parallel end-effector applied to robot-guided ultrasound interventions, in Proceeding of, IEEE, pp. 3716-3721, 2017.
25
[26] X. Guan, H. Wu, X. Hou, Q. Teng, S. Wei, T. Jiang, J. Zhang, B. Wang, J. Yang, L. Xiong, Study of a 6DOF robot assisted ultrasound scanning system and its simulated control handle, in Proceeding of, IEEE, pp. 469-474, 2017.
26
ORIGINAL_ARTICLE
Rotating magneto-thermoelastic rod with finite length due to moving heat sources via Eringen’s nonlocal model
The article is concerned with a new nonlocal model based on Eringen’s nonlocal elasticity and generalized thermoelasticity. A study is made of the magneto-thermoelastic waves in an isotropic conducting thermoelastic finite rod subjected to moving heat sources permeated by a primary uniform magnetic field and rotating with a uniform angular velocity. The Laplace transform technique with respect to time is utilized. The inverse transforms to the physical domain are obtained in a numerical manner for the nonlocal thermal stress, temperature, and displacement distributions. Finally, some graphical presentations have been made to assess the effects of various parameters; nonlocal parameter, rotating, applied magnetic field as well as the speed of the heat source on the field variables. The results obtained in this work should be useful for researchers in nonlocal material science, low-temperature physicists, new materials designers, as well as to those who are working on the development of the theory of nonlocal thermoelasticity.
https://jcamech.ut.ac.ir/article_69970_f742785b768f41aa03687f63eac9fda9.pdf
2019-06-01
118
126
10.22059/jcamech.2019.275893.360
Nonlocal thermoelasticity
finite rod
moving heat source
rotation
magnetic field
Ahmed
Abouelregal
ahabogal@gmail.com
1
Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt
LEAD_AUTHOR
[1] Sparagen W., Claussen G.E., 1937, Temperature distribution during welding, The Welding Journal 16: 4-10.
1
[2] Knopoff L., 1955, The interaction between elastic wave motion and a magnetic field in electrical conductors, Journal of Geophysical Research 60: 441-456.
2
[3] Kaliski S., Petykiewicz J., 1959, Equation of motion coupled with the field of temperature in a magnetic field involving mechanical and electrical relaxation for anisotropic bodies, Proceedings of Vibration Problems 4: 1-12.
3
[4] Chadwick P., 1957, Elastic wave propagation in a magnetic field, in Proceedings of the International Congress of Applied Mechanics, Brussels, Belgium 7: 143-153.
4
[5] Nayfeh A.H., S. Nemat-Nasser, 1972, Electromagneto-thermoelastic plane waves in solids with thermal relaxation, Journal of Applied Mechanics, Transactions ASME 39(1): 108-113.
5
[6] Allam M.N., Elsibai K.A., Abouelregal A.E., 2010, Magnetothermoelasticity for an infinite body with a spherical cavity and variable material properties without energy dissipation, International Journal of Solids and Structures 47(20); 2631-2638.
6
[7] Abouelregal A.E., Abo-Dahab S.M., 2012, Dual phase lag model on magneto-thermoelasticity infinite non-homogeneous solid having a spherical cavity, Journal of Thermal Stresses 35(9): 820-841.
7
[8] Abouelregal A.E., Abo-Dahab S.M., 2014, Dual-phase-lag diffusion model for Thomson’s phenomenon on electromagneto-thermoelastic an infinitely long solid cylinder, Journal of Computational and Theoretical Nanoscience 11(4) 1031-1039.
8
[9] Zenkour A.M., Abouelregal A.E., 2016, Non-simple magnetothermoelastic solid cylinder with variable thermal conductivity due to harmonically varying heat, Earthquakes and Structures 10(3): 681-697.Eringen, A.C., 1972, Nonlocal polar elastic continua, International Journal of Engineering Science 10: 1-16.
9
[10] Eringen A.C., Edelen, D.G.B., 1972, On nonlocal elasticity, International Journal of Engineering Science 10: 233-248.
10
[11] Eringen A.C., 1983, On differential equations of nonlocal elasticity and solutions of screw dislocation and surface waves, Journal of Applied Physics 54: 4703-4710.
11
[12] Inan E., Eringen A.C., 1991, Nonlocal theory of wave propagation in thermoelastic plates, International Journal of Engineering Science 29: 831-843.
12
[13] Wang J., Dhaliwal, R.S., 1993, Uniqueness in generalized nonlocal thermoelasticity, Journal of Thermal Stresses 16: 71-77.
13
[14] Zenkour, A.M., Abouelregal, A.E., 2014, Nonlocal thermoelastic vibrations for variable thermal conductivity nanobeams due to harmonically varying heat, Journal of Vibroengineering 16: 3665-3678.
14
[15] Koutsoumaris C., Eptaimeros K.G., Tsamasphyros G.J., 2017, A different approach to Eringen.s nonlocal integral stress model with applications for beams, International Journal of Solid and Structures 112: 222-238.
15
[16] Liew K.M., Zhang Y., Zhang, L.W., 2017, .Nonlocal elasticity theory for grapheme modeling and simulation : prospects and challenges, Journal of Modeling in Mechanics and Materials doi:10.1515/jmmm-2016-0159.
16
[17] Rajneesh K., Aseem M. Rekha R., 2018, Transient analysis of nonolocal microstretch thermoelastic thick circular plate with phase lags, Mediterranean Journal of Modeling & Simulation 9: 025-042.
17
[18] Abouelregal A.E., Mohamed B.O., 2018, Fractional order thermoelasticity for a functionally graded thermoelastic nanobeam induced by a sinusoidal pulse heating, Journal of Computational and Theoretical Nanoscience 15: 1233-1242.
18
[19] Khisaeva Z., Ostoja-Starzewski M., 2006, Thermoelastic damping in nanomechanical resonators with finite wave speeds", Journal of Thermal Stresses 29(3): 201-216.
19
[20] Abouelregal A.E., Zenkour A.M., 2017, Thermoelastic response of nanobeam resonators subjected to exponential decaying time varying load, Journal of Theoretical and Applied Mechanics 55(3): 937-948.
20
[21] Afzali, J., Alemipour Z. and Hesam, M., 2013, High resolution image with multi-wall carbon nanotube atomic force microscopy tip, International Journal of Engineering Science 26(6): 671-676.
21
[22] Abouelregal A.E., Zenkour A.M., 2018, Nonlocal thermoelastic model for temperature-dependent thermal conductivity nanobeams due to dynamic varying loads, Microsystem Technologies 24(2): 1189-1199.
22
[23] Zenkour A.M., Abouelregal A.E., 2016, Nonlinear effects of thermo-sensitive nanobeams via a nonlocal thermoelasticity model with relaxation time, Microsystem Technologies 22(10): 2407-2415.
23
[24] Ribeiro P., 2016, Non-local effects on the non-linear modes of vibration of carbon nanotubes under electrostatic actuation, International Journal of Non-Linear Mechanics 87: 1–20.
24
[25] Zenkour A.M., Abouelregal A.E., 2015, Nonlocal thermoelastic nanobeam subjected to a sinusoidal pulse heating and temperature-dependent physical properties, Microsystem Technologies 21(8): 1767-1776.
25
[26] Lord H.W., Shulman Y., 1967, A generalized dynamical theory of thermoelasticity, Journal of Mech. Phys. Solid 15: 299-309.
26
[27] Mohammadi M., Ghayour M., Farajpour A., 2013, Free transverse vibration analysis of circular and annular graphene sheets with various boundary conditions using the nonlocal continuum plate model, Composites Part B: Engineering 45(1): 32-42.
27
[28] Danesh M., Farajpour A., Mohammadi M., 2012, Axial vibration analysis of a tapered nanorod based on nonlocal elasticity theory and differential quadrature method, Mechanics Research Communications 39(1): 23-27.
28
[29] Farajpour A., Yazdi M.R.H., Rastgoo A., Loghmani M., Mohammadi M., 2016, Nonlocal nonlinear plate model for large amplitude vibration of magneto-electro-elastic nanoplates, Composite Structures 140: 323-336.
29
[30] Mohammadi M., Safarabadi M., Rastgoo A., Farajpour A., 2016, Hygro-mechanical vibration analysis of a rotating viscoelastic nanobeam embedded in a visco-Pasternak elastic medium and in a nonlinear thermal environment, Acta Mechanica, 227(8): 2207-2232.
30
[31] Mohammadi M., Farajpour A., Moradi A., Ghayour M., 2014, Shear buckling of orthotropic rectangular graphene sheet embedded in an elastic medium in thermal environment, Composites Part B: Engineering 56: 629-637.
31
[32] Moosavi H., Mohammadi M., Farajpour A., Shahidi S.H., 2011, Vibration analysis of nanorings using nonlocal continuum mechanics and shear deformable ring theory, Physica E: Low-dimensional Systems and Nanostructures 44(1): 135-140.
32
[33] Goodarzi M., Mohammadi M., Farajpour A., Khooran M., 2014, Investigation of the effect of pre-stressed on vibration frequency of rectangular nanoplate based on a visco-Pasternak foundation, Journal of Solid Mechanics 6(1): 98-121.
33
[34] Asemi S.R., Mohammadi M., Farajpour A., 2014, Study on the nonlinear stability of orthotropic single-layered graphene sheet based on nonlocal elasticity theory, Latin American Journal of Solids and Structures 11(9): 1515-1540.
34
[35] Mohammadi M., Farajpour A., Goodarzi M., Mohammadi H., 2013, Temperature effect on vibration analysis of annular graphene sheet embedded on visco-Pasternak foundation, Journal of Solid Mechanics 5(3): 305-323.
35
[36] Mohammadi M., Goodarzi M., Ghayour M., Alivand S., 2012, Small scale effect on the vibration of orthotropic plates embedded in an elastic medium and under biaxial in-plane pre-load via nonlocal elasticity theory, Journal of Solid Mechanics 4(2): 128-143.
36
[37] Mohammadi M., Farajpour A., Goodarzi M., 2014, Numerical study of the effect of shear in plane load on the vibration analysis of graphene sheet embedded in an elastic medium, Computational Materials Science 82: 510-520.
37
[38] Wang H., Dong K., Men F., Yan Y.J., Wang X., 2010, Influences of longitudinal magnetic field on wave propagation in carbon nanotubes embedded in elastic matrix, Applied Mathematical Modelling 34: 878-889.
38
[39] Mashat D.S., Zenkour A.M., Abouelregal A.E., 2017, Thermoelastic interactions in a rotating infinite orthotropic elastic body with a cylindrical hole and variable thermal conductivity, Archive of Mechanical Engineering 64(4): 481-498.
39
[40] Schoenberg M. Censor D., 1973, Elastic waves in rotating media, Quarterly of Applied Mathematics 31: 115-125.
40
[41] Abouelregal A.E., Abo-Dahab S.M., 2018, A two-dimensional problem of a mode-I crack in a rotating fibre-reinforced isotropic thermoelastic medium under dual-phase-lag model, Sådhanå 43:13, https://doi.org/10.1007/s12046-017-0769-7.
41
[42] Roychoudhuri S.K., Mukhopadhyay S., 2000, Effect of rotation and relaxation times on plane waves in generalized thermo-viscoelasticity; International Journal of Mathematics and Mathematical Sciences 23: 497-505.
42
[43] He T., Cao L., 2009, A problem of generalized magnetothermoelastic thin slim strip subjected to a moving heat source, Mathematical and Computer Modelling 49(7-8), 1710-1720.
43
[44] Honig G., and Hirdes U., 1984, A method for the numerical inversion of Laplace transforms, Journal of Computational and Applied Mathematics 10(1): 113-132.
44
[45] Bayones F.S., Abd-Alla A.M., 2018, Eigenvalue approach to coupled thermoelasticity in a rotating isotropic medium, Results in Physics 8: 7-15.
45
ORIGINAL_ARTICLE
Numerical Simulation of the Effect of Valve Opening and Particle Concentration on the Erosion Damage in Ball Valves of Pressure Reducing Station
Ball valve is one of valves that have many applications in industry especially in gas delivery systems. This kind of valve is categorized in the on- off flow control valve. This study aims to investigate unusual application of ball valve to control fluid flow in the oil and gas industry and its destructive effect including erosion of ball and body of valve. Simulation of industrial ball valve is done using ANSYS Fluent software and effect of erosion on it is investigated in different working conditions. In this study, working condition is performed regarding 3 different concentrations for suspended particles as well as four positions of ball in different angles. It is shown that rate of erosion for 25% open state of valve is increased to about 15000 times of complete open state of valve, and rate of erosion is increased to about 3500 times for half open state (50% open state); and rate of erosion is increased to about 220 times for 75% open state of valve.
https://jcamech.ut.ac.ir/article_65701_f3d83e1250603c5cfdb48d80481fd7cb.pdf
2019-06-01
127
134
10.22059/jcamech.2018.254108.244
Ball valve
erosion
Particle
concentration
Valve opening
simulation
Amir
Askari
amiraskari36@yahoo.com
1
Department of Mechanical Engineering, Ahvaz Branch, Islamic Azad University, Ahvaz, Iran
AUTHOR
Ali
Falavand Jozaei
falavand@iauahvaz.ac.ir
2
Department of Mechanical Engineering, Ahvaz Branch, Islamic Azad University, Ahvaz, Iran
LEAD_AUTHOR
[1] K. Haugen, O. Kvernvold, A. Ronold, R. Sandberg, Sand erosion of wear-resistant materials: Erosion in choke valves, Wear, Vol. 186, pp. 179-188, 1995.
1
[2] B. McLaury, J. Wang, S. Shirazi, J. Shadley, E. Rybicki, Solid particle erosion in long radius elbows and straight pipes, in Proceeding of, Society of Petroleum Engineers, pp.
2
[3] A. Forder, M. Thew, D. Harrison, A numerical investigation of solid particle erosion experienced within oilfield control valves, Wear, Vol. 216, No. 2, pp. 184-193, 1998.
3
[4] G. Parslow, D. Stephenson, J. Strutt, S. Tetlow, Investigation of solid particle erosion in components of complex geometry, Wear, Vol. 233, pp. 737-745, 1999.
4
[5] A. Kavner, T. S. Duffy, G. Shen, Phase stability and density of FeS at high pressures and temperatures: implications for the interior structure of Mars, Earth and Planetary Science Letters, Vol. 185, No. 1, pp. 25-33, 2001.
5
[6] J. Jin, J. Fan, X. Zhang, K. Cen, Numerical simulation of the tube erosion resulted from particle impacts, Wear, Vol. 250, No. 1, pp. 114-119, 2001.
6
[7] J. Fan, K. Luo, X. Zhang, K. Cen, Large eddy simulation of the anti-erosion characteristics of the ribbed-bend in gas-solid flows, Journal of engineering for gas turbines and power, Vol. 126, No. 3, pp. 672-679, 2004.
7
[8] T. Deng, M. Patel, I. Hutchings, M. Bradley, Effect of bend orientation on life and puncture point location due to solid particle erosion of a high concentration flow in pneumatic conveyors, Wear, Vol. 258, No. 1, pp. 426-433, 2005.
8
[9] Y. I. Oka, K. Okamura, T. Yoshida, Practical estimation of erosion damage caused by solid particle impact: Part 1: Effects of impact parameters on a predictive equation, Wear, Vol. 259, No. 1, pp. 95-101, 2005.
9
[10] X. Chen, B. S. McLaury, S. A. Shirazi, Numerical and experimental investigation of the relative erosion severity between plugged tees and elbows in dilute gas/solid two-phase flow, Wear, Vol. 261, No. 7, pp. 715-729, 2006.
10
[11] M. Habib, H. Badr, S. Said, R. Ben‐Mansour, S. Al‐Anizi, Solid‐particle erosion in the tube end of the tube sheet of a shell‐and‐tube heat exchanger, International journal for numerical methods in fluids, Vol. 50, No. 8, pp. 885-909, 2006.
11
[12] R. Malka, S. Nešić, D. A. Gulino, Erosion–corrosion and synergistic effects in disturbed liquid-particle flow, Wear, Vol. 262, No. 7, pp. 791-799, 2007.
12
[13] M. Suzuki, K. Inaba, M. Yamamoto, Numerical simulation of sand erosion in a square-section 90-degree bend, Journal of Fluid Science and Technology, Vol. 3, No. 7, pp. 868-880, 2008.
13
[14] P. Tang, J. Yang, J. Zheng, G. Ou, S. He, J. Ye, I. Wong, Y. Ma, Erosion-corrosion failure of REAC pipes under multiphase flow, Frontiers of Energy and Power Engineering in China, Vol. 3, No. 4, pp. 389-395, 2009.
14
[15] Y. M. Ferng, B. H. Lin, Predicting the wall thinning engendered by erosion–corrosion using CFD methodology, Nuclear Engineering and Design, Vol. 240, No. 10, pp. 2836-2841, 2010.
15
[16] R. Li, A. Yamaguchi, H. Ninokata, Computational fluid dynamics study of liquid droplet impingement erosion in the inner wall of a bent pipe, Journal of Power and Energy Systems, Vol. 4, No. 2, pp. 327-336, 2010.
16
[17] B. Yan, H. Gu, L. Yu, CFD analysis of the loss coefficient for a 90° bend in rolling motion, Progress in Nuclear Energy, Vol. 56, pp. 1-6, 2012.
17
[18] H. Zhang, Y. Tan, D. Yang, F. X. Trias, S. Jiang, Y. Sheng, A. Oliva, Numerical investigation of the location of maximum erosive wear damage in elbow: Effect of slurry velocity, bend orientation and angle of elbow, Powder Technology, Vol. 217, pp. 467-476, 2012.
18
[19] M. Shahbazi, S. Noori zadeh, Identification of Black Powder in Natural Gas Transmission Network, in The third scientific conference on process engineering (oil, gas refining and petrochemicals), Tehran, 2014. “(in Persian)”
19
[20] D. SHAFEE, K. KHORSHIDI, K. M. MORAVEJI, Numerical Analysis of Erosion/Corrosion due to Gas Flow in Pipelines and Gas Stations, 2014. “(in Persian)”
20
[21] H. Zhu, Q. Pan, W. Zhang, G. Feng, X. Li, CFD simulations of flow erosion and flow-induced deformation of needle valve: Effects of operation, structure and fluid parameters, Nuclear Engineering and Design, Vol. 273, pp. 396-411, 2014.
21
[22] M. Droubi, R. Tebowei, S. Islam, M. Hossain, E. Mitchell, Computational Fluid Dynamic Analysis of Sand Erosion in 90o Sharp Bend Geometry, 2016.
22
ORIGINAL_ARTICLE
Solving Single Phase Fluid Flow Instability Equations Using Chebyshev Tau- QZ Polynomial
In this article the instability of single phase flow in a circular pipe from laminar to turbulence regime has been investigated. To this end, after finding boundary conditions and equation related to instability of flow in cylindrical coordination system, which is called eigenvalue Orr Sommerfeld equation, the solution method for these equation has been investigated. In this article Chebyshev polynomial Tau-QZ algorithm has been selected for the solution technique to solve the Orr Sommerfeld equation because in this method some of complex terms in the instability equation in cylindrical coordination will be appeared. After finding Orr Sommerfeld parameters related to Chebyshev polynomial Tau-QZ algorithm the solution have been done for Re=5000 and Re=1000, then the results had been compared with the results of valid references where other methods had been used in them. It have been observed that the use of Chebyshev Tau-QZ algorithm has higher accuracy concerning the results and it also has a higher accurate technique to solve the Orr Sommerfeld instability equations in cylindrical coordination system.
https://jcamech.ut.ac.ir/article_65771_8e92d2824648dae6986aa4eab1a584a1.pdf
2019-06-01
135
139
10.22059/jcamech.2018.250600.235
Single phase flow
turbulence
Instability equations
Eigenvalue equations
Chebyshev polynomial
Aminreza
Noghrehabadi
noghrehabadi@scu.ac.ir
1
Professor, Department of Mechanical Engineering, Faculty of Engineering, Shahid Chamran University of Ahvaz, Ahvaz, Iran
LEAD_AUTHOR
Alireza
Daneh Dezfuli
alirezadanehdezfouli@gmail.com
2
Assistant professor, Department of Mechanical Engineering, Faculty of Engineering, Shahid Chamran University of Ahvaz, Ahvaz, Iran
AUTHOR
Farokh
Alipour
alipour.f@gmail.com
3
PhD candidate, Department of Mechanical Engineering, Shahid Chamran University of Ahvaz, Ahvaz, Iran
AUTHOR
[1] Davidson, P., 2015, Turbulence: an introduction for scientists and engineers. Oxford University Press, USA.
1
[2] Schmid, Peter J., and Dan S. Henningson, 2012, Stability and transition in shear flows, Vol. 142. Springer Science & Business Media.
2
[3] Dou, Hua-Shu., 2006, Mechanism of flow instability and transition to turbulence, International Journal of Non-Linear Mechanics 41.4: 512-517.
3
[4] Dou, Hua-Shu., 2006, Physics of flow instability and turbulent transition in shear flows, arxiv preprint physics/0607004.
4
[5] Mullin,T., Experimental Studies of Transition to Turbulence in a Pipe, Annual Review of Fluid Mechanics,Vol. 43:1-24.
5
[6] Kerswell, R. R., and O. R. Tutty, 2007, Recurrence of travelling waves in transitional pipe flow, Journal of Fluid Mechanics 584: 69-102.
6
[7] Eckhardt, Bruno, et al., 2007, Turbulence transition in pipe flow, Annu. Rev. Fluid Mech. 39: 447-468.
7
[8] Fox, R. W., McDonald, A. T., Pritchard, P. J.,2011, Introduction to Fluid Mechanics, John Wiley & Sons Press.
8
[9] Mellibovsky, Fernando, et al., 2009, Transition in localized pipe flow turbulence, Physical review letters 103.5: 054502.
9
[10] Drazin, P. G. and W. H. Reid, 1981, Hydrodynamic stability, Cambridge university press Cambridge.
10
[11] Sexl, T. , 1927, Zur stabilitätsfrage der Poiseuilleschen und Couetteschen strömung." Annalen der Physik 388(14): 835-848.
11
[12] Dongarra, J., et al., 1996, Chebyshev tau-QZ algorithm methods for calculating spectra of hydrodynamic stability problems, Applied Numerical Mathematics 22(4): 399-434.
12
[13] Gardner, D. R., et al., 1989, A modified tau spectral method that eliminates spurious eigenvalues, Journal of Computational Physics 80(1): 137-167.
13
[14] Fox, L., 1962,Chebyshev methods for ordinary differential equations, The Computer Journal 4(4): 318-331.
14
[15] Davey, A. and P. Drazin, 1969, The stability of Poiseuille flow in a pipe, Journal of Fluid Mechanics 36(2): 209-218.
15
ORIGINAL_ARTICLE
Influence of taxol and CNTs on the stability analysis of protein microtubules
Microtubules are used as targets for anticancer drugs due to their crucial role in the process of mitosis. Recent studies show that carbon nanotubes (CNTs) can be classified as microtubule-stabilizing agents as they interact with protein microtubules (MTs), leading to interference in the mitosis process. CNTs hold a substantial promising application in cancer therapy in conjunction with other cancer treatments such as radiotherapy and chemotherapy. In the current study, a size-dependent model is developed for the stability analysis of CNT-stabilized microtubules under radial and axial loads. A nonlocal shell theory with strain gradient effects is employed to take size influences into account. Moreover, Van der Waals interactions between CNTs and MTs are simulated. An excellent agreement is observed between the present model and reported data from experiments on protein MTs. In addition, the effects of taxol, as another stabilizing agent, on the stability of microtubules are studied. It is found that both nonlocal and strain gradient effects are essential to accurately obtain the stability capacity of MTs. Furthermore, CNTs have an increasing effect on the critical loads of microtubules while the critical loads reduce in the presence of taxol.
https://jcamech.ut.ac.ir/article_70479_e1b28a25a9c561780be8b40921b7699e.pdf
2019-06-01
140
147
10.22059/jcamech.2019.277874.369
Protein microtubules
stability analysis
Taxol
Carbon nanotubes
Elaheh
Rohani Rad
elaheh.rohanirad@student.adelaide.edu.au
1
Faculty of Health and Medical Sciences, Adelaide Medical School, University of Adelaide, Adelaide, Australia
LEAD_AUTHOR
Mohammad Reza
Farajpour
mfarajpour68@gmail.com
2
Borjavaran Center of Applied Science and Technology, University of Applied Science and Technology, Tehran, Iran
AUTHOR
[1] Z. Liu, S. Tabakman, K. Welsher, H. Dai, Carbon nanotubes in biology and medicine: in vitro and in vivo detection, imaging and drug delivery, Nano research, Vol. 2, No. 2, pp. 85-120, 2009.
1
[2] Z. Liu, W. Cai, L. He, N. Nakayama, K. Chen, X. Sun, X. Chen, H. Dai, In vivo biodistribution and highly efficient tumour targeting of carbon nanotubes in mice, Nature nanotechnology, Vol. 2, No. 1, pp. 47, 2007.
2
[3] P.-C. Lee, Y.-C. Chiou, J.-M. Wong, C.-L. Peng, M.-J. Shieh, Targeting colorectal cancer cells with single-walled carbon nanotubes conjugated to anticancer agent SN-38 and EGFR antibody, Biomaterials, Vol. 34, No. 34, pp. 8756-8765, 2013.
3
[4] S. Peretz, O. Regev, Carbon nanotubes as nanocarriers in medicine, Current Opinion in Colloid & Interface Science, Vol. 17, No. 6, pp. 360-368, 2012.
4
[5] N. M. Bardhan, D. Ghosh, A. M. Belcher, Carbon nanotubes as in vivo bacterial probes, Nature communications, Vol. 5, pp. 4918, 2014.
5
[6] A. Sharma, S. Hong, R. Singh, J. Jang, Single-walled carbon nanotube based transparent immunosensor for detection of a prostate cancer biomarker osteopontin, Analytica chimica acta, Vol. 869, pp. 68-73, 2015.
6
[7] L. García-Hevia, F. Fernández, C. Grávalos, A. García, J. C. Villegas, M. L. Fanarraga, Nanotube interactions with microtubules: implications for cancer medicine, Nanomedicine, Vol. 9, No. 10, pp. 1581-1588, 2014.
7
[8] L. Rodriguez-Fernandez, R. Valiente, J. Gonzalez, J. C. Villegas, M. n. L. Fanarraga, Multiwalled carbon nanotubes display microtubule biomimetic properties in vivo, enhancing microtubule assembly and stabilization, ACS nano, Vol. 6, No. 8, pp. 6614-6625, 2012.
8
[9] F. Gittes, B. Mickey, J. Nettleton, J. Howard, Flexural rigidity of microtubules and actin filaments measured from thermal fluctuations in shape, The Journal of cell biology, Vol. 120, No. 4, pp. 923-934, 1993.
9
[10] J. M. Berg, J. Tymoczko, L. Stryer, Glycolysis is an energy-conversion pathway in many organisms, Biochemistry. 5th ed. New York: WH Freeman, 2002.
10
[11] J. A. Kaltschmidt, A. H. Brand, Asymmetric cell division: microtubule dynamics and spindle asymmetry, J Cell Sci, Vol. 115, No. 11, pp. 2257-2264, 2002.
11
[12] H. Lodish, A. Berk, S. Zipursky, P. Matsudaira, D. Baltimore, J. Darnell, Collagen: the fibrous proteins of the matrix, Molecular Cell Biology, Vol. 4, 2000.
12
[13] K. Dastani, M. Moghimi Zand, A. Hadi, Dielectrophoretic effect of nonuniform electric fields on the protoplast cell, Journal of Computational Applied Mechanics, Vol. 48, No. 1, pp. 1-14, 2017.
13
[14] S. Suresh, Biomechanics and biophysics of cancer cells, Acta Materialia, Vol. 55, No. 12, pp. 3989-4014, 2007.
14
[15] F. Pampaloni, G. Lattanzi, A. Jonáš, T. Surrey, E. Frey, E.-L. Florin, Thermal fluctuations of grafted microtubules provide evidence of a length-dependent persistence length, Proceedings of the National Academy of Sciences, Vol. 103, No. 27, pp. 10248-10253, 2006.
15
[16] M. Kurachi, M. Hoshi, H. Tashiro, Buckling of a single microtubule by optical trapping forces: direct measurement of microtubule rigidity, Cell motility and the cytoskeleton, Vol. 30, No. 3, pp. 221-228, 1995.
16
[17] A. I. Aria, H. Biglari, Computational vibration and buckling analysis of microtubule bundles based on nonlocal strain gradient theory, Applied Mathematics and Computation, Vol. 321, pp. 313-332, 2018.
17
[18] Q. Wang, V. Varadan, Application of nonlocal elastic shell theory in wave propagation analysis of carbon nanotubes, Smart Materials and Structures, Vol. 16, No. 1, pp. 178, 2007.
18
[19] M. Ece, M. Aydogdu, Nonlocal elasticity effect on vibration of in-plane loaded double-walled carbon nano-tubes, Acta Mechanica, Vol. 190, No. 1-4, pp. 185-195, 2007.
19
[20] M. Danesh, A. Farajpour, M. Mohammadi, Axial vibration analysis of a tapered nanorod based on nonlocal elasticity theory and differential quadrature method, Mechanics Research Communications, Vol. 39, No. 1, pp. 23-27, 2012.
20
[21] M. Aydogdu, I. Elishakoff, On the vibration of nanorods restrained by a linear spring in-span, Mechanics Research Communications, Vol. 57, pp. 90-96, 2014.
21
[22] M. Z. Nejad, A. Hadi, A. Rastgoo, Buckling analysis of arbitrary two-directional functionally graded Euler–Bernoulli nano-beams based on nonlocal elasticity theory, International Journal of Engineering Science, Vol. 103, pp. 1-10, 2016.
22
[23] M. Z. Nejad, A. Hadi, Non-local analysis of free vibration of bi-directional functionally graded Euler–Bernoulli nano-beams, International Journal of Engineering Science, Vol. 105, pp. 1-11, 2016.
23
[24] A. Hadi, M. Z. Nejad, M. Hosseini, Vibrations of three-dimensionally graded nanobeams, International Journal of Engineering Science, Vol. 128, pp. 12-23, 2018.
24
[25] M. Z. Nejad, A. Hadi, A. Farajpour, Consistent couple-stress theory for free vibration analysis of Euler-Bernoulli nano-beams made of arbitrary bi-directional functionally graded materials, Structural Engineering and Mechanics, Vol. 63, No. 2, pp. 161-169, 2017.
25
[26] M. R. Farajpour, A. Shahidi, A. Farajpour, Resonant frequency tuning of nanobeams by piezoelectric nanowires under thermo-electro-magnetic field: a theoretical study, Micro & Nano Letters, Vol. 13, No. 11, pp. 1627-1632, 2018.
26
[27] A. Farajpour, M. Mohammadi, A. Shahidi, M. Mahzoon, Axisymmetric buckling of the circular graphene sheets with the nonlocal continuum plate model, Physica E: Low-dimensional Systems and Nanostructures, Vol. 43, No. 10, pp. 1820-1825, 2011.
27
[28] M. Farajpour, A. Shahidi, A. Hadi, A. Farajpour, Influence of initial edge displacement on the nonlinear vibration, electrical and magnetic instabilities of magneto-electro-elastic nanofilms, Mechanics of Advanced Materials and Structures, Vol. DOI: 10.1080/15376494.2018.1432820, 2018.
28
[29] M. Farajpour, A. Shahidi, A. Farajpour, A nonlocal continuum model for the biaxial buckling analysis of composite nanoplates with shape memory alloy nanowires, Materials Research Express, Vol. 5, No. 3, pp. 035026, 2018.
29
[30] M. R. Farajpour, A. R. Shahidi, A. Farajpour, Frequency behavior of ultrasmall sensors using vibrating SMA nanowire-reinforced sheets under a non-uniform biaxial preload, Materials Research Express, Vol. 6, pp. 065047, 2019.
30
[31] M. R. Farajpour, A. R. Shahidi, A. Farajpour, Frequency behavior of ultrasmall sensors using vibrating SMA nanowire-reinforced sheets under a non-uniform biaxial preload, Materials Research Express, Vol. 6, No. 6, pp. 065047, 2019/03/29, 2019.
31
[32] C. Wang, C. Ru, A. Mioduchowski, Orthotropic elastic shell model for buckling of microtubules, Physical Review E, Vol. 74, No. 5, pp. 052901, 2006.
32
[33] H. Jiang, L. Jiang, J. D. Posner, B. D. Vogt, Atomistic-based continuum constitutive relation for microtubules: elastic modulus prediction, Computational Mechanics, Vol. 42, No. 4, pp. 607-618, 2008.
33
[34] T. Li, A mechanics model of microtubule buckling in living cells, Journal of biomechanics, Vol. 41, No. 8, pp. 1722-1729, 2008.
34
[35] B. Akgöz, Ö. Civalek, Application of strain gradient elasticity theory for buckling analysis of protein microtubules, Current Applied Physics, Vol. 11, No. 5, pp. 1133-1138, 2011.
35
[36] M. Taj, J. Zhang, Analysis of wave propagation in orthotropic microtubules embedded within elastic medium by Pasternak model, journal of the mechanical behavior of biomedical materials, Vol. 30, pp. 300-305, 2014.
36
[37] A. Farajpour, A. Rastgoo, M. Mohammadi, Surface effects on the mechanical characteristics of microtubule networks in living cells, Mechanics Research Communications, Vol. 57, pp. 18-26, 2014.
37
[38] A. G. Arani, M. Abdollahian, M. Jalaei, Vibration of bioliquid-filled microtubules embedded in cytoplasm including surface effects using modified couple stress theory, Journal of theoretical biology, Vol. 367, pp. 29-38, 2015.
38
[39] Ö. Civalek, C. Demir, A simple mathematical model of microtubules surrounded by an elastic matrix by nonlocal finite element method, Applied Mathematics and Computation, Vol. 289, pp. 335-352, 2016.
39
[40] M. A. Jordan, L. Wilson, Microtubules as a target for anticancer drugs, Nature Reviews Cancer, Vol. 4, No. 4, pp. 253, 2004.
40
[41] C. Lim, G. Zhang, J. Reddy, A higher-order nonlocal elasticity and strain gradient theory and its applications in wave propagation, Journal of the Mechanics and Physics of Solids, Vol. 78, pp. 298-313, 2015.
41
[42] M. R. Farajpour, A. Rastgoo, A. Farajpour, M. Mohammadi, Vibration of piezoelectric nanofilm-based electromechanical sensors via higher-order non-local strain gradient theory, Micro & Nano Letters, Vol. 11, No. 6, pp. 302-307, 2016.
42
[43] L. Li, Y. Hu, L. Ling, Wave propagation in viscoelastic single-walled carbon nanotubes with surface effect under magnetic field based on nonlocal strain gradient theory, Physica E: Low-dimensional Systems and Nanostructures, Vol. 75, pp. 118-124, 2016.
43
[44] A. Farajpour, A. Rastgoo, M. Mohammadi, Vibration, buckling and smart control of microtubules using piezoelectric nanoshells under electric voltage in thermal environment, Physica B: Condensed Matter, Vol. 509, pp. 100-114, 2017.
44
[45] M. Mohammadi, A. Farajpour, M. Goodarzi, R. Heydarshenas, Levy type solution for nonlocal thermo-mechanical vibration of orthotropic mono-layer graphene sheet embedded in an elastic medium, Journal of Solid Mechanics, Vol. 5, No. 2, pp. 116-132, 2013.
45
[46] S. R. Asemi, A. Farajpour, Vibration characteristics of double-piezoelectric-nanoplate-systems, IET Micro & Nano Letters, Vol. 9, No. 4, pp. 280-285, 2014.
46
[47] S. R. Asemi, A. Farajpour, M. Borghei, A. H. Hassani, Thermal effects on the stability of circular graphene sheets via nonlocal continuum mechanics, Latin American Journal of Solids and Structures, Vol. 11, No. 4, pp. 704-724, 2014.
47
[48] M. Hosseini, A. Hadi, A. Malekshahi, M. Shishesaz, A review of size-dependent elasticity for nanostructures, Journal of Computational Applied Mechanics, Vol. 49, No. 1, pp. 197-211, 2018.
48
[49] N. Kordani, A. Fereidoon, M. Divsalar, A. Farajpour, Forced vibration of piezoelectric nanowires based on nonlocal elasticity theory, Journal of Computational Applied Mechanics Vol. 47, pp. 137-150, 2016.
49
[50] A. Farajpour, A. Rastgoo, M. Farajpour, Nonlinear buckling analysis of magneto-electro-elastic CNT-MT hybrid nanoshells based on the nonlocal continuum mechanics, Composite Structures, Vol. 180, pp. 179-191, 2017.
50
[51] M. Goodarzi, M. Mohammadi, A. Farajpour, M. Khooran, Investigation of the effect of pre-stressed on vibration frequency of rectangular nanoplate based on a visco-Pasternak foundation, Journal of Solid Mechanics, Vol. 6, pp. 98-121, 2014.
51
[52] S. R. Asemi, M. Mohammadi, A. Farajpour, A study on the nonlinear stability of orthotropic single-layered graphene sheet based on nonlocal elasticity theory, Latin American Journal of Solids and Structures, Vol. 11, No. 9, pp. 1515-1540, 2014.
52
[53] M. Mohammadi, A. Farajpour, M. Goodarzi, H. Mohammadi, Temperature effect on vibration analysis of annular graphene sheet embedded on visco-Pasternak foundation, Journal of Solid Mechanics, Vol. 5, No. 3, pp. 305-323, 2013.
53
[54] A. Farajpour, A. Rastgoo, Influence of carbon nanotubes on the buckling of microtubule bundles in viscoelastic cytoplasm using nonlocal strain gradient theory, Results in physics, Vol. 7, pp. 1367-1375, 2017.
54
[55] M. Farajpour, A. Shahidi, F. Tabataba’i-Nasab, A. Farajpour, Vibration of initially stressed carbon nanotubes under magneto-thermal environment for nanoparticle delivery via higher-order nonlocal strain gradient theory, The European Physical Journal Plus, Vol. 133, No. 6, pp. 219, 2018.
55
[56] A. C. Eringen, 2002, Nonlocal continuum field theories, Springer Science & Business Media,
56
[57] C. Li, C. Ru, A. Mioduchowski, Length-dependence of flexural rigidity as a result of anisotropic elastic properties of microtubules, Biochemical and biophysical research communications, Vol. 349, No. 3, pp. 1145-1150, 2006.
57
[58] W. D. Cornell, P. Cieplak, C. I. Bayly, I. R. Gould, K. M. Merz, D. M. Ferguson, D. C. Spellmeyer, T. Fox, J. W. Caldwell, P. A. Kollman, A second generation force field for the simulation of proteins, nucleic acids, and organic molecules, Journal of the American Chemical Society, Vol. 117, No. 19, pp. 5179-5197, 1995.
58
ORIGINAL_ARTICLE
Vibration of FG viscoelastic nanobeams due to a periodic heat flux via fractional derivative model
In this work, the vibrations of viscoelastic functionally graded Euler–Bernoulli nanostructure beams are investigated using the fractional-order calculus. It is assumed that the functionally graded nanobeam (FGN) is due to a periodic heat flux. FGN can be considered as nonhomogenous composite structures; with continuous structural changes along the thick- ness of the nanobeam usually, it changes from ceramic at the bottom of the metal at the top. Based on the nonlocal model of Eringen, the complete analytical solution to the problem is established using the Laplace transform method. The effects of different parameters are illustrated graphically and discussed. The effects of fractional order, damping coefficient, and periodic frequency of the vibrational behavior of nanobeam was investigated and discussed. It also provides a conceptual idea of the FGN and its distinct advantages compared to other engineering materials. The results obtained in this work can be applied to identify of many nano-structures such as nano-electro mechanical systems (NEMS), nano-actuators, etc.
https://jcamech.ut.ac.ir/article_70476_8fb1b4e95103eaa4214d9c1779eed26e.pdf
2019-06-01
148
156
10.22059/jcamech.2019.277115.367
Viscoelastic
fractional derivatives
FG nanobeam
periodic heat flux
Ahmed
Abouelregal
ahabogal@gmail.com
1
Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt
AUTHOR
Ashraf
Zenkour
zenkour@gmail.com
2
Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia
LEAD_AUTHOR
[1] Rahaeifard M, Kahrobaiyan MH, Ahmadian MT, Firoozbakhsh K. Strain gradient formulation of functionally graded nonlinear beams. Int J Eng Sc 2013; 65: 49–63.
1
[2] Koizumi M. The concept of FGM. Ceramic Trans 1993; 34: 3–10.
2
[3] Zenkour AM, Abouelregal AE. Effect of harmonically varying heat on FG nanobeams in the context of a nonlocal two-temperature thermoelasticity theory. Euro J Comp Mech 2014; 23(1–2): 1–14.
3
[4] Abouelregal AE, Zenkour AM. Thermoelastic problem of an axially moving microbeam subjected to an external transverse excitation. J Theor Appl Mech 2015; 53(1): 167–178 Warsaw.
4
[5] Sankar BV. An elasticity solution for functionally graded beams. J Compos Sci Technol2001; 61(5): 689–696.
5
[6] Aydogdu M, Taskin V. Free vibration analysis of functionally graded beams with simply supported edges. J Mater Des2007; 28(5): 1651–1656.
6
[7] Chakraborty A, Gopalakrishnan S, Reddy JN. A new beam finite element for the analysis of functionally graded materials. Int J Mech Sci 2003; 45(3): 519-539.
7
[8] Zenkour AM, Abouelregal AE. Effect of ramp-type heating on the vibration of functionally graded microbeams without energy dissipation. Mech Advan Mat Struc 2016; 23(5): 529–537.
8
[9] Alibeigloo A. Thermoelasticity analysis of functionally graded beam with integrated surface piezoelectric layers. Comp Struc 2010; 92(6): 1535–1543.
9
[10] Allam MNM, Abouelregal AE. The thermoelastic waves induced by pulsed laser and varying heat of inhomogeneous microscale beam resonators. J Therm Stres 2014; 37(4), 455-470.
10
[11] Carrera E, Abouelregal AE, Abbas IA, Zenkour AM. Vibrational analysis for an axially moving microbeam with two temperatures. J. Therm Stres 2015; 38: 569–590.
11
[12] Uymaz, B. Forced vibration analysis of functionally graded beams using nonlocal elasticity. Comp Struct 2013; 105: 227-239.
12
[13] Abouelregal AE, Zenkour AM. Effect of phase lags on thermoelastic functionally graded microbeams subjected to ramp-type heating. IJST, Trans Mech Eng 2014; 38(M2): 321–335.
13
[14] Eringen AC. Nonlocal polar elastic continua. Inte J Eng Sci 1972; 10: 1–16.
14
[15] Eringen AC. On differential equations of nonlocal elasticity and solutions of screw dislocation and surface waves. J Appl Phys 1983; 54: 4703–4710.
15
[16] Eringen AC, Edelen DGB. On nonlocal elasticity. Int J Eng Sci 1972; 10: 233–248.
16
[17] Adhikari S, Mrumu T, McCarthy MA. Dynamic finite element analysis of axially vibrating nonlocal rods. Fin Elem Analy Design 2013; 63: 42–50.
17
[18] Benzair A, Tounsi1 A, Besseghier A, Heireche H, Moulay N, Boumia L. The thermal effect on vibration of single-walled carbon nanotubes using nonlocal Timoshenko beam theory. J Phys D: Appl Phys 2008; 41(22): 225404-1-10.
18
[19] Wang, Q, Liew KM. Application of nonlocal continuum mechanics to static analysis of micro- and nano-structures. Phys Lett A 2007; 363(3): 236–242.
19
[20] Togun N. Nonlocal beam theory for nonlinear vibrations of a nanobeam resting on elastic foundation. Bound Val Prob 2016; 1: 1-14.
20
[21] Zenkour AM, Abouelregal AE. Vibration of FG nanobeams induced by sinusoidal pulse-heating via a nonlocal thermoelastic model. Acta Mech 2014; 225(12): 3409–3421.
21
[22] Zenkour AM, Abouelregal AE. Effect of harmonically varying heat on FG nanobeams in the context of a nonlocal two-temperature thermoelasticity theory, Europ J Comput Mech 2014; 23(1-2): 1-14.
22
[23] Abouelregal AE, Zenkour AM. Thermoelastic response of nanobeam resonators subjected to exponential decaying time varying load. J Theo App Mech 2017; 55(3): 937-948 Warsaw.
23
[24] A Abouelregal AE, Zenkour AM. Dynamic response of a nanobeam induced by ramp-type heating and subjected to a moving load. Micro Tech 2017; 23(12): 5911-5920.
24
[25] Povstenko YZ. Thermoelasticity that uses fractional heat conduction equation, J Math Sci 2009; 162(2): 296–305.
25
[26] Miller K, Ross B. An Introduction to the Fractional Calculus and Fractional Differential Equations, Wiley, New York, 1993.
26
[27] Podlubny I. Fractional Differential Equations, Academic Press, San Diego, 1999.
27
[28] Mandelbrot BB. The Fractal Geometry of Nature, Macmillan, 1983.
28
[29] Klimek M. Fractional sequential mechanics-models with symmetric fractional derivative. Czechoslov J. Phys. 2001; 51: 1348–1354.
29
[30] Riewe F. Mechanics with fractional derivatives. Phys Rev E 1997; 55: 3581.
30
[31] Mainardi F. Fractional Calculusand Wavesin Linear Viscoelasticity: An Introduction to Mathematical Models, World Scientific, Singapore, 2010.
31
[32] Sumelka W. Fractional viscoplasticity. Mech Res Commun 2014; 56: 31–36.
32
[33] Rossikhin YA, Shitikova MV. Application of fractional calculus for dynamic problems of solid mechanics: novel trends and recent results. Appl Mech Rev 2010; 63: 010801.
33
[34] Pouresmaeeli S, Ghavanloo E, Fazelzadeh SA. Vibration analysis of viscoelastic orthotropic nanoplates resting on viscoelastic medium. Compos Struct 2013; 96: 405-410.
34
[35] Lei Y, Adhikari S, Friswell MI. Vibration of nonlocal Kelvin–Voigt viscoelastic damped Timoshenko beams. Int J Eng Sci 2013; 66-67: 1–13.
35
[36] Morland LW, Lee EH. Stress analysis for linear viscoelastic materials with temperature variation. Trans Soc Rheol 1960; 4: 233–263.
36
[37] Biot MA. Theory of stress–strain relations in an isotropic viscoelasticity, and relaxation phenomena. J Appl Phys 1965;18: 27–34.
37
[38] Enelund M, Olsson P. Damping described by fading memory analysis and application to fractional derivative models. Int J Sol Struc 1999; 36: 939–970.
38
[39] Bagley R. On the equivalence of the Riemann-Liouville and the Caputo fractional order derivatives in modeling of linear viscoelastic materials. Fract Calc Appl Analy 2007; 10(2): 123-126.
39
[40] Caputo M, Mainardi F. Linear models of dissipation in anelastic solids. Rivista del Nuovo Cimento 1971; 1(2): 161–198.
40
[41] Hosseini SM, Kalhori H, Shooshtari A, Mahmoodi SN. Analytical solution for nonlinear forced response of a viscoelastic piezoelectric cantilever beam resting on a nonlinear elastic foundation to an external harmonic excitation. Composites Part B: Engineering, 2014; 67: 464-471.
41
[42] Mainardi F. Fractional calculus and waves in linear viscoelastisity: An introduction to mathematical models, London, Imperial College Press, 2009.
42
[43] Bagley RL, Torvik PJ. Fractional calculus-a different approach to the analysis of viscoelastically damped structures. AIAA J. 1983; 21(5), 741–748.
43
[44] Bagley RL, Torvik PJ. On the fractional calculus model of viscoelastic behavior. J. Rheol. 1986; 30: 133–155.
44
[45] Lord H, Shulman Y. A generalized dynamical theory of thermoelasticity. J Mech Phys Solid 1967; 15: 299-309.
45
[46] Honig G, Hirdes U. A method for the numerical inversion of the Laplace transform. J Comput Appl Math 1984;10: 113-132.
46
ORIGINAL_ARTICLE
Dynamics analysis of microparticles in inertial microfluidics for biomedical applications
Inertial microfluidics-based devices have recently attracted much interest and attention due to their simple structure, high throughput, fast processing and low cost. They have been utilised in a wide range of applications in microtechnology, especially for sorting and separating microparticles. This novel class of microfluidics-based devices works based on intrinsic forces, which cause microparticles to migrate laterally and locate at their equilibrium positions. In this article, a comprehensive theoretical formulation is presented for the dynamics of ultrasmall particles in microfluidics-based devices. Explicit expressions are presented for various important forces, which act on a microparticle, such as drag, Magnus, Saffman and wall-induced forces. In addition, the drag coefficient, diffusion phenomenon and Peclet number are formulated. Finally, the influences of particle size, as a crucial parameter, on various intrinsic forces including drag, Magnus and Saffman forces as well as the wall-induced force, are investigated. It is found that the drag, wall-induced and Saffman forces have an important role to play in the dynamics of microparticles in inertial microfluidics while the effects of Magnus force and diffusion can be ignored in most applications.
https://jcamech.ut.ac.ir/article_71278_ab4bdf55c68ee2d6f49a2275a2aff7d3.pdf
2019-06-01
157
164
10.22059/jcamech.2019.281000.391
Inertial microfluidics
Particle separation
Particle sorting
Intrinsic forces
Elaheh
Rohani Rad
elaheh.rohanirad@student.adelaide.edu.au
1
Faculty of Health and Medical Sciences, Adelaide Medical School,
University of Adelaide
LEAD_AUTHOR
Mohammad Reza
Farajpour
mfarajpour68@gmail.com
2
Borjavaran Center of Applied Science and Technology, University of Applied Science and Technology, Tehran, Iran
AUTHOR
[1] S. Asemi, A. Farajpour, M. Mohammadi, Nonlinear vibration analysis of piezoelectric nanoelectromechanical resonators based on nonlocal elasticity theory, Composite Structures, Vol. 116, pp. 703-712, 2014.
1
[2] J. S. Bunch, A. M. Van Der Zande, S. S. Verbridge, I. W. Frank, D. M. Tanenbaum, J. M. Parpia, H. G. Craighead, P. L. McEuen, Electromechanical resonators from graphene sheets, Science, Vol. 315, No. 5811, pp. 490-493, 2007.
2
[3] W. Guo, C. Cheng, Y. Wu, Y. Jiang, J. Gao, D. Li, L. Jiang, Bio‐inspired two‐dimensional nanofluidic generators based on a layered graphene hydrogel membrane, Advanced Materials, Vol. 25, No. 42, pp. 6064-6068, 2013.
3
[4] M. R. Farajpour, A. Rastgoo, A. Farajpour, M. Mohammadi, Vibration of piezoelectric nanofilm-based electromechanical sensors via higher-order non-local strain gradient theory, IET Micro & Nano Letters, Vol. 11, No. 6, pp. 302-307, 2016.
4
[5] Y. Shao, J. Wang, H. Wu, J. Liu, I. A. Aksay, Y. Lin, Graphene based electrochemical sensors and biosensors: a review, Electroanalysis: An International Journal Devoted to Fundamental and Practical Aspects of Electroanalysis, Vol. 22, No. 10, pp. 1027-1036, 2010.
5
[6] M. R. Farajpour, A. R. Shahidi, A. Farajpour, Frequency behavior of ultrasmall sensors using vibrating SMA nanowire-reinforced sheets under a non-uniform biaxial preload, Materials Research Express, Vol. 6, pp. 065047, 2019.
6
[7] M. M. Adeli, A. Hadi, M. Hosseini, H. H. Gorgani, Torsional vibration of nano-cone based on nonlocal strain gradient elasticity theory, The European Physical Journal Plus, Vol. 132, No. 9, pp. 393, 2017.
7
[8] A. Daneshmehr, A. Rajabpoor, A. Hadi, Size dependent free vibration analysis of nanoplates made of functionally graded materials based on nonlocal elasticity theory with high order theories, International Journal of Engineering Science, Vol. 95, pp. 23-35, 2015.
8
[9] A. Hadi, M. Z. Nejad, M. Hosseini, Vibrations of three-dimensionally graded nanobeams, International Journal of Engineering Science, Vol. 128, pp. 12-23, 2018.
9
[10] M. Z. Nejad, A. Hadi, A. Rastgoo, Buckling analysis of arbitrary two-directional functionally graded Euler–Bernoulli nano-beams based on nonlocal elasticity theory, International Journal of Engineering Science, Vol. 103, pp. 1-10, 2016.
10
[11] S. S. Kuntaegowdanahalli, A. A. S. Bhagat, G. Kumar, I. Papautsky, Inertial microfluidics for continuous particle separation in spiral microchannels, Lab on a Chip, Vol. 9, No. 20, pp. 2973-2980, 2009.
11
[12] H. Vahabi, E. R. Rad, T. Parpaite, V. Langlois, M. R. Saeb, Biodegradable polyester thin films and coatings in the line of fire: the time of polyhydroxyalkanoate (PHA)?, Progress in Organic Coatings, Vol. 133, pp. 85-89, 2019.
12
[13] M. R. Farajpour, A. R. Shahidi, A. Farajpour, Elastic waves in fluid-conveying carbon nanotubes under magneto-hygro-mechanical loads via a two-phase local/nonlocal mixture model, Materials Research Express, Vol. 6, pp. 0850a8, 2019.
13
[14] M. Farajpour, A. Shahidi, A. Farajpour, Influences of non-uniform initial stresses on vibration of small-scale sheets reinforced by shape memory alloy nanofibers, The European Physical Journal Plus, Vol. 134, No. 5, pp. 218, 2019.
14
[15] A. Farajpour, A. Rastgoo, M. Farajpour, Nonlinear buckling analysis of magneto-electro-elastic CNT-MT hybrid nanoshells based on the nonlocal continuum mechanics, Composite Structures, Vol. 180, pp. 179-191, 2017.
15
[16] M. Farajpour, A. Shahidi, A. Farajpour, A nonlocal continuum model for the biaxial buckling analysis of composite nanoplates with shape memory alloy nanowires, Materials Research Express, Vol. 5, No. 3, pp. 035026, 2018.
16
[17] M. Farajpour, A. Shahidi, A. Hadi, A. Farajpour, Influence of initial edge displacement on the nonlinear vibration, electrical and magnetic instabilities of magneto-electro-elastic nanofilms, Mechanics of Advanced Materials and Structures, Vol. DOI: 10.1080/15376494.2018.1432820, 2018.
17
[18] M. Farajpour, A. Shahidi, F. Tabataba’i-Nasab, A. Farajpour, Vibration of initially stressed carbon nanotubes under magneto-thermal environment for nanoparticle delivery via higher-order nonlocal strain gradient theory, The European Physical Journal Plus, Vol. 133, No. 6, pp. 219, 2018.
18
[19] M. R. Farajpour, A. Shahidi, A. Farajpour, Resonant frequency tuning of nanobeams by piezoelectric nanowires under thermo-electro-magnetic field: a theoretical study, Micro & Nano Letters, Vol. 13, No. 11, pp. 1627-1632, 2018.
19
[20] M. Hosseini, M. Shishesaz, K. N. Tahan, A. Hadi, Stress analysis of rotating nano-disks of variable thickness made of functionally graded materials, International Journal of Engineering Science, Vol. 109, pp. 29-53, 2016.
20
[21] M. Z. Nejad, A. Hadi, A. Farajpour, Consistent couple-stress theory for free vibration analysis of Euler-Bernoulli nano-beams made of arbitrary bi-directional functionally graded materials, Structural Engineering and Mechanics, Vol. 63, No. 2, pp. 161-169, 2017.
21
[22] M. Hosseini, A. Hadi, A. Malekshahi, M. Shishesaz, A review of size-dependent elasticity for nanostructures, Journal of Computational Applied Mechanics, Vol. 49, No. 1, pp. 197-211, 2018.
22
[23] N. Kordani, A. Fereidoon, M. Divsalar, A. Farajpour, Forced vibration of piezoelectric nanowires based on nonlocal elasticity theory, Journal of Computational Applied Mechanics, Vol. 47, No. 2, pp. 137-150, 2016.
23
[24] E. Rohani Rad, M. R. Farajpour, Influence of taxol and CNTs on the stability analysis of protein microtubules, Journal of Computational Applied Mechanics, Vol. DOI: 10.22059/JCAMECH.2019.277874.369, 2019.
24
[25] M. Abdelgawad, A. R. Wheeler, Low-cost, rapid-prototyping of digital microfluidics devices, Microfluidics and nanofluidics, Vol. 4, No. 4, pp. 349, 2008.
25
[26] J. Zhang, S. Yan, D. Yuan, G. Alici, N.-T. Nguyen, M. E. Warkiani, W. Li, Fundamentals and applications of inertial microfluidics: A review, Lab on a Chip, Vol. 16, No. 1, pp. 10-34, 2016.
26
[27] M. E. Warkiani, B. L. Khoo, L. Wu, A. K. P. Tay, A. A. S. Bhagat, J. Han, C. T. Lim, Ultra-fast, label-free isolation of circulating tumor cells from blood using spiral microfluidics, Nature protocols, Vol. 11, No. 1, pp. 134, 2016.
27
[28] M. E. Warkiani, A. K. P. Tay, B. L. Khoo, X. Xiaofeng, J. Han, C. T. Lim, Malaria detection using inertial microfluidics, Lab on a Chip, Vol. 15, No. 4, pp. 1101-1109, 2015.
28
[29] V. Potluri, P. S. Kathiresan, H. Kandula, P. Thirumalaraju, M. K. Kanakasabapathy, S. K. S. Pavan, D. Yarravarapu, A. Soundararajan, K. Baskar, R. Gupta, An inexpensive smartphone-based device for point-of-care ovulation testing, Lab on a Chip, Vol. 19, No. 1, pp. 59-67, 2019.
29
[30] A. J. Chung, A Minireview on Inertial Microfluidics Fundamentals: Inertial Particle Focusing and Secondary Flow, BioChip Journal, Vol. 13, No. 1, pp. 53-63, 2019.
30
[31] D. Di Carlo, Inertial microfluidics, Lab on a Chip, Vol. 9, No. 21, pp. 3038-3046, 2009.
31
[32] A. Kommajosula, D. Stoecklein, D. Di Carlo, B. Ganapathysubramanian, Shape-design for stabilizing micro-particles in inertial microfluidic flows, arXiv preprint arXiv:1902.05935, 2019.
32
[33] N. Liu, C. Petchakup, H. M. Tay, K. H. H. Li, H. W. Hou, Spiral Inertial Microfluidics for Cell Separation and Biomedical Applications, in: Applications of Microfluidic Systems in Biology and Medicine, Eds., pp. 99-150: Springer, 2019.
33
[34] J. M. Coulson, J. F. Richardson, J. R. Backhurst, J. H. Harker, 1991, Particle technology and separation processes, Pergamon Press,
34
[35] S. R. Asemi, A. Farajpour, Vibration characteristics of double-piezoelectric-nanoplate-systems, Micro & Nano Letters, Vol. 9, No. 4, pp. 280-285, 2014.
35
[36] S. R. Asemi, A. Farajpour, M. Borghei, A. H. Hassani, Thermal effects on the stability of circular graphene sheets via nonlocal continuum mechanics, Latin American Journal of Solids and Structures, Vol. 11, No. 4, pp. 704-724, 2014.
36
[37] A. Farajpour, A. Rastgoo, Influence of carbon nanotubes on the buckling of microtubule bundles in viscoelastic cytoplasm using nonlocal strain gradient theory, Results in physics, Vol. 7, pp. 1367-1375, 2017.
37
[38] A. Farajpour, A. Rastgoo, M. Mohammadi, Vibration, buckling and smart control of microtubules using piezoelectric nanoshells under electric voltage in thermal environment, Physica B: Condensed Matter, Vol. 509, pp. 100-114, 2017.
38
[39] M. Farajpour, A. Shahidi, A. Farajpour, Influence of shear preload on wave propagation in small-scale plates with nanofibers, Structural Engineering and Mechanics Vol. 70, No. 4, pp. 407-420 2019.
39
[40] M. Goodarzi, M. Mohammadi, A. Farajpour, M. Khooran, Investigation of the effect of pre-stressed on vibration frequency of rectangular nanoplate based on a visco-Pasternak foundation, Journal of Solid Mechanics, Vol. 6, pp. 98-121, 2014.
40
[41] S. R. Asemi, M. Mohammadi, A. Farajpour, A study on the nonlinear stability of orthotropic single-layered graphene sheet based on nonlocal elasticity theory, Latin American Journal of Solids and Structures, Vol. 11, No. 9, pp. 1515-1540, 2014.
41
[42] M. Safarabadi, M. Mohammadi, A. Farajpour, M. Goodarzi, Effect of surface energy on the vibration analysis of rotating nanobeam, Journal of Solid Mechanics, Vol. 7, No. 3, pp. 299-311, 2015.
42
[43] R. M. Mazo, 2002, Brownian motion: fluctuations, dynamics, and applications, Oxford University Press on Demand,
43
[44] R. Clift, J. R. Grace, M. E. Weber, 2005, Bubbles, drops, and particles, Courier Corporation,
44
[45] E. Michaelides, 2006, Particles, bubbles & drops: their motion, heat and mass transfer, World Scientific,
45
[46] P. Saffman, The lift on a small sphere in a slow shear flow, Journal of fluid mechanics, Vol. 22, No. 2, pp. 385-400, 1965.
46
[47] H. Brenner, The slow motion of a sphere through a viscous fluid towards a plane surface, Chemical engineering science, Vol. 16, No. 3-4, pp. 242-251, 1961.
47
[48] R. Cox, S. Hsu, The lateral migration of solid particles in a laminar flow near a plane, International Journal of Multiphase Flow, Vol. 3, No. 3, pp. 201-222, 1977.
48
ORIGINAL_ARTICLE
A Theoretical Study of Steady MHD mixed convection heat transfer flow for a horizontal circular cylinder embedded in a micropolar Casson fluid with thermal radiation
In this study, an investigation is carried out for laminar steady mixed 2D magnetohydrodynamic (MHD) flow of micropolar Casson fluid with thermal radiation over a horizontal circular cylinder with constant surface temperature. In the present study, an investigation is carried out on the effects of physical parameters on Casson fluid non dimensional numbers. The governing nonlinear partial differential equations and the controlling boundary conditions are derived for this case study. Furthermore, these equations are solved numerically using finite difference technique known as Keller Box Method (KBM). The effects of non-dimensional governing parameters, namely Casson parameter, mixed convection parameter, magnetic parameter, radiation parameter on the Nusselt number and local friction coefficient, as well as temperature, velocity and angular velocity are discussed and shown graphically. It is noticed that the local skin friction and the local Nasselt number has decrement behaviors when increasing the values the Casson parameter. But the opposite happens when the mixed convection parameter λ increase. It is found that the results in this study are in good agreement with previous studies. This proves that calculations using KBM method and the chosen step size are accurate enough for this type of problems.
https://jcamech.ut.ac.ir/article_70806_542067cf992f3db8de16cf02f66e160e.pdf
2019-06-01
165
173
10.22059/jcamech.2019.278376.372
Casson Fluid
Horizontal Circular Cylinder
Magnetohydrodynamic (MHD)
Micropolar Fluid
Numerical solution
Radiation
Hani
Qadan
hani_qadan@yahoo.com
1
Faculty Engineering, Department of Civil Engineering, Al-Balqa Applied University, Amman-Jordan
LEAD_AUTHOR
Hamzeh
Alkasasbeh
hamzahtahak@yahoo.com
2
Department of Mathematics, Faculty of Science, Ajloun National University, P.O. Box 43, Ajloun 26810, Jordan
AUTHOR
Nusayba
Yaseen
nusaybay@gmail.com
3
Faculty of art and science, Aqaba University of Technology, Aqaba-Jordan
AUTHOR
Mohammed Z.
Sawalmeh
mohd12010@yahoo.com
4
Faculty of art and science, Aqaba University of Technology, Aqaba-Jordan
AUTHOR
Shaima
ALKhalafat
shima.khalafat@gmail.com
5
Faculty of art and science, Aqaba University of Technology, Aqaba-Jordan
AUTHOR
[1] Abid, S., S. Islam, et al. "Magnetic hydrodynamic flow of unsteady second grade fluid between two vertical plates with oscillating boundary conditions." J. Appl. Environ. Biol. Sci 4(01): 0-01.
1
[2] Abolbashari, M. H., N. Freidoonimehr, et al. "Analytical modeling of entropy generation for Casson nano-fluid flow induced by a stretching surface." Advanced Powder Technology 26(2): 542-552.
2
[3] Alkasasbeh, H. (2018). "NUMERICAL SOLUTION ON HEAT TRANSFER MAGNETOHYDRODYNAMIC FLOW OF MICROPOLAR CASSON FLUID OVER A HORIZONTAL CIRCULAR CYLINDER WITH THERMAL RADIATION." Frontiers in Heat and Mass Transfer (FHMT) 10.
3
[4] Alkasasbeh, H. T., M. Z. Salleh, et al. (2014). "Numerical solutions of radiation effect on magnetohydrodynamic free convection boundary layer flow about a solid sphere with Newtonian heating." Applied Mathematical Sciences 8(140): 6989-7000.
4
[5] Animasaun, I. L. "Effects of thermophoresis, variable viscosity and thermal conductivity on free convective heat and mass transfer of non-darcian MHD dissipative Casson fluid flow with suction and nth order of chemical reaction." Journal of the Nigerian Mathematical Society 34(1): 11-31.
5
[6] Ariman, T., M. A. Turk, et al. (1973). "Microcontinuum fluid mechanics—a review." International Journal of Engineering Science 11(8): 905-930.
6
[7] Blasius, H. (1908). "Grenzschichten in Flussigkeiten mit kleiner Reibung, 2. angew." Math. Phye 56.
7
Casson, N. (1959). "A flow equation for pigment-oil suspensions of the printing ink type." Rheology of disperse systems.
8
[8] Cebeci, T. and P. Bradshaw Physical and computational aspects of convective heat transfer, Springer Science & Business Media.
9
[9] Cortell Bataller, R. (2008). "Radiation effects in the Blasius flow." Applied mathematics and computation 198(1): 333-338.
10
[10] Eringen, A. C. (1966). "Theory of micropolar fluids." Journal of Mathematics and Mechanics: 1-18.
11
[11] Gaffar, S. A., V. R. Prasad, et al. "Magnetohydrodynamic free convection flow and heat transfer of non-Newtonian tangent hyperbolic fluid from horizontal circular cylinder with Biot number effects." International Journal of Applied and Computational Mathematics 3(2): 721-743.
12
[12] Gul, A. and M. Ullah "Thin Film Flow Analysis of a MHD Third Grade Fluid on a Vertical Belt With no-slip Boundary Conditions." J. Appl. Environ. Biol. Sci 4(10): 71-84.
13
[13] Haq, R., S. Nadeem, et al. "Convective heat transfer and MHD effects on Casson nanofluid flow over a shrinking sheet." Open Physics 12(12): 862-871.
14
[14] Ingham, D. B. (1978). "Free-convection boundary layer on an isothermal horizontal cylinder." Zeitschrift fأ¼r angewandte Mathematik und Physik ZAMP 29(6): 871-883.
15
[15] Khalid, A., I. Khan, et al. "Unsteady MHD free convection flow of Casson fluid past over an oscillating vertical plate embedded in a porous medium." Engineering Science and Technology, an International Journal 18(3): 309-317.
16
[16] Khonsari, M. M. and D. E. Brewe (1994). "Effect of viscous dissipation on the lubrication characteristics of micropolar fluids." Acta Mechanica 105(1-4): 57-68.
17
[17] Lukaszewicz, G. (1999). Micropolar fluids: theory and applications, Springer Science & Business Media.
18
[18] Mahdy, A. and S. E. Ahmed "Unsteady MHD convective flow of non-Newtonian Casson fluid in the stagnation region of an impulsively rotating sphere." Journal of Aerospace Engineering 30(5): 04017036.
19
[19] Malik, M. Y., M. Naseer, et al. "The boundary layer flow of Casson nanofluid over a vertical exponentially stretching cylinder." Applied Nanoscience 4(7): 869-873.
20
[20] Mehmood, Z., R. Mehmood, et al. "Numerical investigation of micropolar Casson fluid over a stretching sheet with internal heating." Communications in Theoretical Physics 67(4): 443.
21
[21] Merkin, J. H. (1976). Free convection boundary layer on an isothermal horizontal cylinder. American Society of Mechanical Engineers and American Institute of Chemical Engineers, Heat Transfer Conference, St. Louis, Mo., Aug. 9-11, 1976, ASME 5 p.
22
[22] Mohammad, N. F. (2015). Magnetohydrodynamic Flow Past a Sphere in a Viscous and Micropolar Fluids for Unsteady Free and Mixed Convective Boundary Layer, Universiti Teknologi Malaysia.
23
[23] Mukhopadhyay, S., K. Bhattacharyya, et al. "Exact solutions for the flow of Casson fluid over a stretching surface with transpiration and heat transfer effects." Chinese Physics B 22(11): 114701.
24
[24] Mukhopadhyay, S., K. Bhattacharyya, et al. (2013). "Exact solutions for the flow of Casson fluid over a stretching surface with transpiration and heat transfer effects." Chinese Physics B 22(11): 1-6.
25
[25] Mukhopadhyay, S., I. C. Mondal, et al. "Casson fluid flow and heat transfer past a symmetric wedge." Heat Transfer—Asian Research 42(8): 665-675.
26
[26] Mustafa, M., T. Hayat, et al. "Unsteady boundary layer flow of a Casson fluid due to an impulsively started moving flat plate." Heat Transferï؟½Asian Research 40(6): 563-576.
27
[27] Nagendra, N., C. H. Amanulla, et al. "Mathematical Study of Non-Newtonian Nanofluid Transport Phenomena from an Isothermal Sphere." Frontiers in Heat and Mass Transfer (FHMT) 8.
28
[28] Nazar, R., N. Amin, et al. (2003). "Mixed convection boundary-layer flow from a horizontal circular cylinder in micropolar fluids: case of constant wall temperature." International Journal of Numerical Methods for Heat & Fluid Flow 13(1): 86-109.
29
[29] Prasad, V. R., A. S. Rao, et al. "Modelling laminar transport phenomena in a Casson rheological fluid from a horizontal circular cylinder with partial slip." Proceedings of the Institution of Mechanical Engineers, Part E: Journal of Process Mechanical Engineering 227(4): 309-326.
30
[30] Pushpalatha, K., V. Sugunamma, et al. "Heat and mass transfer in unsteady MHD Casson fluid flow with convective boundary conditions." International Journal of Advanced Science and Technology 91: 19-38.
31
[31] Qasim, M. and S. Noreen "Heat transfer in the boundary layer flow of a Casson fluid over a permeable shrinking sheet with viscous dissipation." The European Physical Journal Plus 129(1): 7.
32
[32] Shehzad, S. A., T. Hayat, et al. "Effects of mass transfer on MHD flow of Casson fluid with chemical reaction and suction." Brazilian Journal of Chemical Engineering 30(1): 187-195.
33
[33] Subba Rao, A., V. Ramachandra Prasad, et al. "Heat Transfer in a Casson Rheological Fluid from a Semiâ€گinfinite Vertical Plate with Partial Slip." Heat Transfer—Asian Research 44(3): 272-291.
34
[34] Swalmeh, M. Z., H. T. Alkasasbeh, et al. (2018). "Heat transfer flow of Cu-water and Al2O3-water micropolar nanofluids about a solid sphere in the presence of natural convection using Keller-box method." Results in Physics 9: 717-724.
35
[35] Venkatesan, J., D. S. Sankar, et al. "Mathematical analysis of Casson fluid model for blood rheology in stenosed narrow arteries." Journal of Applied Mathematics 2013.
36
ORIGINAL_ARTICLE
GENERAL SOLUTION OF ELASTICITY PROBLEMS IN TWO DIMENSIONAL POLAR COORDINATES USING MELLIN TRANSFORM
Abstract In this work, the Mellin transform method was used to obtain solutions for the stress field components in two dimensional (2D) elasticity problems in terms of plane polar coordinates. the Mellin transformation was applied to the biharmonic stress compatibility equation expressed in terms of the Airy stress potential function, and the boundary value problem transformed to an algebraic problem which was solved to obtain the Mellin transformed Airy stress potential function. The Mellin transform was similarly used to obtain the Mellin transformed stress field components. The use of Mellin transform inversion formula yielded the solutions to the 2D elasticity problem in the physical space domain variables. Specific illustration was considered of the solution by using the Mellin transform method for the Flamant problem and the Mellin transform solutions found to agree with solutions from the literature.
https://jcamech.ut.ac.ir/article_71279_cafefc4f9fd02295c528f72cfbf793ba.pdf
2019-06-01
174
181
10.22059/jcamech.2019.278288.370
Mellin transform method
Mellin transform inversion formula
biharmonic stress compatibility equation
Airy stress potential function
two dimensional (2D) elasticity problem
Charles
Ike
ikecc2007@yahoo.com
1
Dept of Civil Engineering, Enugu State University of Science and Technology,
Enugu State, Nigeria
LEAD_AUTHOR
[1] S.K. Borg. Fundamentals of Engineering Elasticity Second Edition. World Scientific Publishing Co. Ltd. London, 1970.
1
[2] J. Blaauwendraad. Theory of Elasticity ct 5141 Direct Methods. DelftUniversity of Technology, Faculty of Civil Engineering and Sciences. June 2003.
2
[3] A. Szekrenyes. Introduction to plane problems subject Application of plane stress, plane strain and revolution symmetric (axisymmetric) models. www.mm.bme.hu/../11_fejezetes_bevezetes_sikfeladatok_lektorait_kovrigait_VA_eng.pdf.
3
[4] I.S. Sokolnikoff. Mathematical Theory of Elasticity Second Edition. Tata McGraw-Hill Publishing Company Ltd, Bombay, New Delhi 1956.
4
[5] R.J. Atkin and N. Fox. An introduction of the theory of elasticity. Longman Group Ltd, London 1980.
5
[6] T.G. Sitharam and L. Govinda Reju. Applied Elasticity for Engineers Module: Elastic Solutions and Applications in Geomechanics. 14.139.172.204/npte/1/ CSE/web/105108070/module 8/lecture 17.pdf.
6
[7] H.R. Hamidzadeh and R.N. Jazar. Vibrations of thick cylindrical structures. Springer Science Business Media p. 15 – 26, 2010.
7
[8] A. Hazel. MATH 350211: Elasticity www.maths.manchester.ac.uk/~ahazel/ MATHS Nov 30 2015.
8
[9] D. Palaniappian. A general solution of equations of equilibrium in linear elasticity. Applied Mathematical Modelling 35 (2011). Pp. 5494 – 5499. Elsevier, 2011.
9
[10] S.P. Timoshenko and J.N. Goodier. Theory of Elasticity, Third Edition. McGraw Hill, New York 1970.
10
[11] C. Ramadas. 2D Theory of Elasticity R&DE (Engineers) DRDO. http://imechanica.org/files/2D theory of elasticity.pdf.
11
[12] O. Joubert. The Mellin Transform. October 2011. math.sun.ac.za/wp-content/uploads/2013/02/Hons_Projek.pdf.
12
[13] D. Zagier. Appendix. The Mellin Transform and Related Analytic Techniques. people.mpim-bonn.mpg.de/zagier/files/text/Mellin Transform/fulltext.pdf
13
[14] T. Cindy. Mellin Transform and Riemann Zeta Function. www.math.clemson.edu/~kevja/COURSES/math952/MTHSC 952 - 2013 - SPRING PRESENTATIONS/Cindy Tagaris Mellin Transforms.pdf.
14
[15] B.M. Das. Advanced Soil Mechanics Third Edition. Taylor and Francis, New York, 2008.
15
[16] H.N. Onah, N.N. Osadebe, C.C. ike, C.U. Nwoji. Determination of stresses caused by infinitely long line loads on semi-infinite elastic soils using Fourier transform method. Nigerian Journal of Technology NIJOTECH Vol 35 No 4 October 2016 pp. 726 – 731.
16
ORIGINAL_ARTICLE
Dynamical stability of cantilevered pipe conveying fluid in the presence of linear dynamic vibration absorber
When the velocity of fluid flow in a cantilevered pipe is successively increased, the system may become unstable and flutter instability would occur at a critical flow velocity. This paper is concerned with exploring the dynamical stability of a cantilevered fluid-conveying pipe with an additional linear dynamic vibration absorber (DVA) attachment. It is endeavoured to show that the stability of the pipe may be considerably enhanced due to the presence of DVA. The quasi-analytical results show that the energy transferred from the flowing fluid to the pipe may be partially transferred to the additional mass. In most cases, thus, the critical flow velocity at which the pipe becomes unstable would become larger, meanwhile the flutter instability of the DVA is not easy to achieve. In such a fluid-structure interaction system, it is also found that flutter instability may first occur in the mode of the DVA. The effects of damping coefficient, weight, location and spring stiffness of the DVA on the critical flow velocities and nonlinear oscillations of the system have also been analyzed.
https://jcamech.ut.ac.ir/article_69971_5494e5598c7ae6961d913a5dcf241102.pdf
2019-06-01
182
190
10.22059/jcamech.2019.276606.365
Pipe conveying fluid
Linear dynamic vibration absorber
Stability
Critical flow velocity
Nonlinear oscillation
ZhiYuan
Liu
469825205@qq.com
1
Department of Mechanics, Huazhong University of Science and Technology, Wuhan 430074, China
AUTHOR
Kun
Zhou
2524642385@qq.com
2
Department of Mechanics, Huazhong University of Science and Technology, Wuhan 430074, China
AUTHOR
Lin
Wang
wanglindds@hust.edu.cn
3
Department of Mechanics, Huazhong University of Science and Technology, Wuhan 430074, China
LEAD_AUTHOR
TianLi
Jiang
2937194041@qq.com
4
Department of Mechanics, Huazhong University of Science and Technology, Wuhan 430074, China
AUTHOR
HuLiang
Dai
daihulianglx@hust.edu.cn
5
Department of Mechanics, Huazhong University of Science and Technology, Wuhan 430074, China
AUTHOR
[1] M. P. Paidoussis, G. X. Li, Pipes conveying fluid: a model dynamical problem, Journal of Fluids and Structures, Vol. 7, No. 2, pp. 137-204, 1993.
1
[2] M. P. Paidoussis, The canonical problem of the fluid-conveying pipe and radiation of the knowledge gained to other dynamics problems across Applied Mechanics, Journal of Sound and Vibration, Vol. 310, No. 3, pp. 462-492, Feb 10, 2008.
2
[3] Y. Yang, J. Wang, Y. Yu, Wave propagation in fluid-filled single-walled carbon nanotube based on the nonlocal strain gradient theory, Acta Mechanica Solida Sinica, Vol. 31, No. 4, pp. 484-492, 2018.
3
[4] M. Hosseini, H. H. Gorgani, M. Shishesaz, A. Hadi, Size-dependent stress analysis of single-wall carbon nanotube based on strain gradient theory, International Journal of Applied Mechanics, Vol. 9, No. 06, pp. 1750087, 2017.
4
[5] V. Feodos’Ev, Vibrations and stability of a pipe when liquid flows through it, Inzhenernyi Sbornik, Vol. 10, pp. 169-170, 1951.
5
[6] G. Housener, Bending vibration of a pipeline containing flowing fluid, Journal of Applied Mechancis, Vol. 19, pp. 205, 1952.
6
[7] F. I. Niordson, 1953, Vibrations of a cylindrical tube containing flowing fluid, Kungliga Tekniska Hogskolans Handlinar (Stockholm),
7
[8] R. D. Blevins, 1977, Flow-induced vibration, Van Nostrand Reinhold Co., New York
8
[9] F.-J. Bourrières, 1939, Sur un phénomène d'oscillation auto-entretenue en mécanique des fluides réels, E. Blondel La Rougery,
9
[10] T. B. Benjamin, Dynamics of a system of articulated pipes conveying fluid. I. Theory, Proceedings of the Royal Society of London A: Mathematical, Physical and Engineering Sciences, Vol. 261, No. 1307, pp. 457-486, 1961.
10
[11] T. B. Benjamin, Dynamics of a system of articulated pipes conveying fluid. II. Experiments, Proceedings of the Royal Society of London A: Mathematical, Physical and Engineering Sciences, Vol. 261, No. 1307, pp. 487-499, 1961.
11
[12] M. P. Paidoussis, Oscillations of liquid-filled flexible tubes, Thesis, University of Cambridge, 1963.
12
[13] R. W. Gregory, M. P. Paidoussis, Unstable oscillation of tubular cantilevers conveying fluid I. Theory, Proc. R. Soc. Lond. A, Vol. 293, No. 1435, pp. 512-527, 1966.
13
[14] R. W. Gregory, M. P. Paidoussis, Unstable oscillation of tubular cantilevers conveying fluid II. Experiments, Proc. R. Soc. Lond. A, Vol. 293, No. 1435, pp. 528-542, 1966.
14
[15] J. Hill, C. Swanson, Effects of lumped masses on the stability of fluid conveying tubes, Journal of Applied Mechanics, Vol. 37, No. 2, pp. 494-497, 1970.
15
[16] S. Chen, J. Jendrzejczyk, General characteristics, transition, and control of instability of tubes conveying fluid, The Journal of the Acoustical Society of America, Vol. 77, No. 3, pp. 887-895, 1985.
16
[17] J. A. Jendrzejczyk, S. S. Chen, Experiments on tubes conveying fluid, Thin-Walled Structures, Vol. 3, No. 2, pp. 109-134, 1985.
17
[18] Y. Sugiyama, H. Kawagoe, T. Kishi, S. Nishiyama, Studies on the Stability of Pipes Conveying Fluid: The Combined Effect of a Spring Support and a Lumped Mass, JSME international journal. Ser. 1, Solid mechanics, strength of materials, Vol. 31, No. 1, pp. 20-26, 1988.
18
[19] M. A. G. Silva, Influence of eccentric valves on the vibration of fluid conveying pipes, Nuclear Engineering and Design, Vol. 64, No. 1, pp. 129-134, 1981.
19
[20] M. P. Paidoussis, C. Semler, Non-linear dynamics of a fluid-conveying cantilevered pipe with a small mass attached at the free end, International Journal of Non-Linear Mechanics, Vol. 33, No. 1, pp. 15-32, 1998.
20
[21] Y. Modarres-Sadeghi, C. Semler, M. Wadham-Gagnon, M. P. Païdoussis, Dynamics of cantilevered pipes conveying fluid. Part 3: Three-dimensional dynamics in the presence of an end-mass, Journal of Fluids and Structures, Vol. 23, No. 4, pp. 589-603, 2007.
21
[22] S. Rinaldi, M. P. Paidoussis, Dynamics of a cantilevered pipe discharging fluid, fitted with a stabilizing end-piece, Journal of Fluids and Structures, Vol. 26, No. 3, pp. 517-525, 2010.
22
[23] M. H. Ghayesh, M. P. Paidoussis, Y. Modarres-Sadeghi, Three-dimensional dynamics of a fluid-conveying cantilevered pipe fitted with an additional spring-support and an end-mass, Journal of Sound and Vibration, Vol. 330, No. 12, pp. 2869-2899, 2011.
23
[24] L. Wang, H. L. Dai, Vibration and enhanced stability properties of fluid-conveying pipes with two symmetric elbows fitted at downstream end, Archive of Applied Mechanics, Vol. 82, No. 2, pp. 155-161, 2012/02/01, 2012.
24
[25] T. Z. Yang, X. D. Yang, Y. H. Li, B. Fang, Passive and adaptive vibration suppression of pipes conveying fluid with variable velocity, Journal of Vibration and Control, Vol. 20, No. 9, pp. 1293-1300, 2014.
25
[26] R. D. Firouz-Abadi, A. R. Askarian, M. Kheiri, Bending–torsional flutter of a cantilevered pipe conveying fluid with an inclined terminal nozzle, Journal of Sound and Vibration, Vol. 332, No. 12, pp. 3002-3014, 2013/06/10/, 2013.
26
[27] G. S. Copeland, F. C. Moon, Chaotic flow-induced vibration of a flexible tube with end mass, Journal of Fluids and Structures, Vol. 6, No. 6, pp. 705-718, 1992/11/01/, 1992.
27
[28] A. E. Mamaghani, S. Khadem, S. Bab, Vibration control of a pipe conveying fluid under external periodic excitation using a nonlinear energy sink, Nonlinear Dynamics, Vol. 86, No. 3, pp. 1761-1795, 2016.
28
[29] G. B. Song, P. Zhang, L. Li, M. Singla, D. Patil, H. N. Li, Y. L. Mo, Vibration control of a pipeline structure using pounding tuned mass damper, Journal of Engineering Mechanics, Vol. 142, No. 6, pp. 04016031, 2016.
29
[30] S. Rechenberger, D. Mair, Vibration Control of Piping Systems and Structures Using Tuned Mass Dampers, ASME 2017 Pressure Vessels and Piping Conference, Hawaii, USA, Vol. PVP2017-65448, pp. V03BT03A035, 2017.
30
[31] K. Zhou, F. R. Xiong, N. B. Jiang, H. L. Dai, H. Yan, L. Wang, Q. Ni, Nonlinear vibration control of a cantilevered fluid-conveying pipe using the idea of nonlinear energy sink, Nonlinear Dynamics, pp. 1-22, 2018.
31
[32] C. Semler, Nonlinear dynamics and chaos of a pipe conveying fluid, McGill University, 1992.
32
[33] Y. W. Zhang, B. Yuan, B. Fang, L. Q. Chen, Reducing thermal shock-induced vibration of an axially moving beam via a nonlinear energy sink, Nonlinear Dynamics, Vol. 87, No. 2, pp. 1159-1167, 2017.
33
[34] L. Wang, Z. Y. Liu, A. Abdelkefi, Y. K. Wang, H. L. Dai, Nonlinear dynamics of cantilevered pipes conveying fluid: Towards a further understanding of the effect of loose constraints, International Journal of Non-Linear Mechanics, Vol. 95, pp. 19-29, 2017.
34
[35] Z. Y. Liu, L. Wang, X. P. Sun, Nonlinear Forced Vibration of Cantilevered Pipes Conveying Fluid, Acta Mechanica Solida Sinica, Vol. 31, No. 1, pp. 32-50, February 01, 2018.
35
[36] Z. Y. Liu, L. Wang, H. L. Dai, P. Wu, T. L. Jiang, Nonplanar vortex-induced vibrations of cantilevered pipes conveying fluid subjected to loose constraints, Ocean Engineering, Vol. 178, pp. 1-19, 2019.
36
[37] M. Mohammadi, M. Ghayour, A. Farajpour, Analysis of free vibration sector plate based on elastic medium by using new version of differential quadrature method, Vol. 3, No. 2, pp. 47-56, 2011.
37
[38] M. Danesh, A. Farajpour, M. Mohammadi, Axial vibration analysis of a tapered nanorod based on nonlocal elasticity theory and differential quadrature method, Mechanics Research Communications, Vol. 39, No. 1, pp. 23-27, 2012.
38
[39] M. P. Paidoussis, N. T. Issid, Dynamic stability of pipes conveying fluid, Journal of sound and vibration, Vol. 33, No. 3, pp. 267-294, 1974.
39
ORIGINAL_ARTICLE
Size-dependent on vibration and flexural sensitivity of atomic force microscope
In this paper, the free vibration behaviors and flexural sensitivity of atomic force microscope cantilevers with small-scale effects are investigated. To study the small-scale effects on natural frequencies and flexural sensitivity, the consistent couple stress theory is applied. In this theory, the couple stress is assumed skew-symmetric. Unlike the classical beam theory, the new model contains a material-length-scale parameter and can capture the size effect. For this purpose, the Euler–Bernoulli beam theory is used to develop the AFM cantilever. The tip interacts with the sample that is modeled by a spring with constant of. The equation of motion is obtained through a variational formulation based on Hamilton’s principle. In addition, the analytical expressions for the natural frequency and sensitivity are also derived. At the end, some numerical results are selected to study the effects of material-length-scale parameter and dimensionless thickness on the natural frequency and flexural sensitivity.
https://jcamech.ut.ac.ir/article_65215_f6f293a4b061ef4b5e7a58b7e30c0e37.pdf
2019-06-01
191
196
10.22059/jcamech.2018.250335.233
consistent couple stress theory
atomic force microscope (AFM)
Euler–Bernoulli beam
Hamilton’s principle
Sensitivity
Reza
Javidi
javidireza93@ut.ac.ir
1
School of Mechanical Engineering, College of Engineering, University of Tehran, Tehran, Iran
AUTHOR
Hamid
Haghshenas Gorgani
h_haghshenas@sharif.edu
2
Engineering Graphics Center, Sharif University of Technology, Tehran, Iran
AUTHOR
Mohsen
Mahdavi Adeli
mahdavi_mech_eng@yahoo.com
3
Department of Mechanical Engineering, Sousangerd Branch, Islamic Azad University, Sousangerd, Iran
LEAD_AUTHOR
[1] A. Hadi, A. Rastgoo, A. Bolhassani, N. Haghighipour, Effects of stretching on molecular transfer from cell membrane by forming pores, Soft Materials, pp. 1-9, 2019.
1
[2] H. H. Gorgani, M. M. Adeli, M. Hosseini, Pull-in behavior of functionally graded micro/nano-beams for MEMS and NEMS switches, Microsystem Technologies, pp. 1-9, 2018.
2
[3] M. Farajpour, A. Shahidi, A. Hadi, A. Farajpour, Influence of initial edge displacement on the nonlinear vibration, electrical and magnetic instabilities of magneto-electro-elastic nanofilms, Mechanics of Advanced Materials and Structures, pp. 1-13, 2018.
3
[4] M. Shishesaz, M. Hosseini, K. N. Tahan, A. Hadi, Analysis of functionally graded nanodisks under thermoelastic loading based on the strain gradient theory, Acta Mechanica, Vol. 228, No. 12, pp. 4141-4168, 2017.
4
[5] A. Hadi, M. Z. Nejad, A. Rastgoo, M. Hosseini, Buckling analysis of FGM Euler-Bernoulli nano-beams with 3D-varying properties based on consistent couple-stress theory, Steel and Composite Structures, Vol. 26, No. 6, pp. 663-672, 2018.
5
[6] A. Hadi, A. Rastgoo, N. Haghighipour, A. Bolhassani, Numerical modelling of a spheroid living cell membrane under hydrostatic pressure, Journal of Statistical Mechanics: Theory and Experiment, Vol. 2018, No. 8, pp. 083501, 2018.
6
[7] M. Hosseini, M. Shishesaz, A. Hadi, Thermoelastic analysis of rotating functionally graded micro/nanodisks of variable thickness, Thin-Walled Structures, Vol. 134, pp. 508-523, 2019.
7
[8] S. Gopalakrishnan, S. Narendar, 2013, Wave Propagation in Nanostructures: Nonlocal Continuum Mechanics Formulations, Springer Science & Business Media,
8
[9] M. Hosseini, M. Shishesaz, K. N. Tahan, A. Hadi, Stress analysis of rotating nano-disks of variable thickness made of functionally graded materials, International Journal of Engineering Science, Vol. 109, pp. 29-53, 2016.
9
[10] A. Hadi, M. Z. Nejad, M. Hosseini, Vibrations of three-dimensionally graded nanobeams, International Journal of Engineering Science, Vol. 128, pp. 12-23, 2018.
10
[11] M. Z. Nejad, A. Hadi, A. Farajpour, Consistent couple-stress theory for free vibration analysis of Euler-Bernoulli nano-beams made of arbitrary bi-directional functionally graded materials, Structural Engineering and Mechanics, Vol. 63, No. 2, pp. 161-169, 2017.
11
[12] M. Hosseini, H. H. Gorgani, M. Shishesaz, A. Hadi, Size-dependent stress analysis of single-wall carbon nanotube based on strain gradient theory, International Journal of Applied Mechanics, Vol. 9, No. 06, pp. 1750087, 2017.
12
[13] M. M. Adeli, A. Hadi, M. Hosseini, H. H. Gorgani, Torsional vibration of nano-cone based on nonlocal strain gradient elasticity theory, The European Physical Journal Plus, Vol. 132, No. 9, pp. 393, 2017.
13
[14] A. Soleimani, K. Dastani, A. Hadi, M. H. Naei, Effect of out-of-plane defects on the postbuckling behavior of graphene sheets based on nonlocal elasticity theory, Steel and Composite Structures, Vol. 30, No. 6, pp. 517-+, 2019.
14
[15] M. Z. Nejad, A. Hadi, A. Omidvari, A. Rastgoo, Bending analysis of bi-directional functionally graded Euler-Bernoulli nano-beams using integral form of Eringen's non-local elasticity theory, Structural Engineering and Mechanics, Vol. 67, No. 4, pp. 417-425, 2018.
15
[16] M. Mohammadi, M. Hosseini, M. Shishesaz, A. Hadi, A. Rastgoo, Primary and secondary resonance analysis of porous functionally graded nanobeam resting on a nonlinear foundation subjected to mechanical and electrical loads, European Journal of Mechanics-A/Solids, 2019.
16
[17] A. C. Eringen, Theory of micromorphic materials with memory, International Journal of Engineering Science, Vol. 10, No. 7, pp. 623-641, 1972.
17
[18] A. C. Eringen, Nonlocal polar elastic continua, International journal of engineering science, Vol. 10, No. 1, pp. 1-16, 1972.
18
[19] A. C. Eringen, On differential equations of nonlocal elasticity and solutions of screw dislocation and surface waves, Journal of applied physics, Vol. 54, No. 9, pp. 4703-4710, 1983.
19
[20] A. C. Eringen, 2002, Nonlocal continuum field theories, Springer Science & Business Media,
20
[21] A. Daneshmehr, A. Rajabpoor, A. Hadi, Size dependent free vibration analysis of nanoplates made of functionally graded materials based on nonlocal elasticity theory with high order theories, International Journal of Engineering Science, Vol. 95, pp. 23-35, 2015.
21
[22] M. Z. Nejad, A. Hadi, A. Rastgoo, Buckling analysis of arbitrary two-directional functionally graded Euler–Bernoulli nano-beams based on nonlocal elasticity theory, International Journal of Engineering Science, Vol. 103, pp. 1-10, 2016.
22
[23] M. Z. Nejad, A. Hadi, Non-local analysis of free vibration of bi-directional functionally graded Euler–Bernoulli nano-beams, International Journal of Engineering Science, Vol. 105, pp. 1-11, 2016.
23
[24] M. Z. Nejad, A. Hadi, Eringen's non-local elasticity theory for bending analysis of bi-directional functionally graded Euler–Bernoulli nano-beams, International Journal of Engineering Science, Vol. 106, pp. 1-9, 2016.
24
[25] D. Lam, F. Yang, A. Chong, J. Wang, P. Tong, Experiments and theory in strain gradient elasticity, Journal of the Mechanics and Physics of Solids, Vol. 51, No. 8, pp. 1477-1508, 2003.
25
[26] R. A. Toupin, Elastic materials with couple-stresses, Archive for Rational Mechanics and Analysis, Vol. 11, No. 1, pp. 385-414, 1962.
26
[27] R. Mindlin, H. Tiersten, Effects of couple-stresses in linear elasticity, Archive for Rational Mechanics and Analysis, Vol. 11, No. 1, pp. 415-448, 1962.
27
[28] W. KOlTER, Couple stresses in the theory of elasticity, Proc. Koninklijke Nederl. Akaad. van Wetensch, Vol. 67, 1964.
28
[29] A. Farajpour, A. Rastgoo, M. Farajpour, Nonlinear buckling analysis of magneto-electro-elastic CNT-MT hybrid nanoshells based on the nonlocal continuum mechanics, Composite Structures, Vol. 180, pp. 179-191, 2017.
29
[30] M. Baghani, M. Mohammadi, A. Farajpour, Dynamic and stability analysis of the rotating nanobeam in a nonuniform magnetic field considering the surface energy, International Journal of Applied Mechanics, Vol. 8, No. 04, pp. 1650048, 2016.
30
[31] N. Kordani, A. Fereidoon, M. Divsalar, A. Farajpour, Forced vibration of piezoelectric nanowires based on nonlocal elasticity theory, Journal of Computational Applied Mechanics, Vol. 47, No. 2, pp. 137-150, 2016.
31
[32] A. Farajpour, A. Rastgoo, Influence of carbon nanotubes on the buckling of microtubule bundles in viscoelastic cytoplasm using nonlocal strain gradient theory, Results in physics, Vol. 7, pp. 1367-1375, 2017.
32
[33] F. Yang, A. Chong, D. C. C. Lam, P. Tong, Couple stress based strain gradient theory for elasticity, International Journal of Solids and Structures, Vol. 39, No. 10, pp. 2731-2743, 2002.
33
[34] H. Ma, X.-L. Gao, J. Reddy, A microstructure-dependent Timoshenko beam model based on a modified couple stress theory, Journal of the Mechanics and Physics of Solids, Vol. 56, No. 12, pp. 3379-3391, 2008.
34
[35] S. Park, X. Gao, Bernoulli–Euler beam model based on a modified couple stress theory, Journal of Micromechanics and Microengineering, Vol. 16, No. 11, pp. 2355, 2006.
35
[36] M. Asghari, M. Kahrobaiyan, M. Ahmadian, A nonlinear Timoshenko beam formulation based on the modified couple stress theory, International Journal of Engineering Science, Vol. 48, No. 12, pp. 1749-1761, 2010.
36
[37] W. Xia, L. Wang, L. Yin, Nonlinear non-classical microscale beams: static bending, postbuckling and free vibration, International Journal of Engineering Science, Vol. 48, No. 12, pp. 2044-2053, 2010.
37
[38] M. Şimşek, Nonlinear static and free vibration analysis of microbeams based on the nonlinear elastic foundation using modified couple stress theory and He’s variational method, Composite Structures, Vol. 112, pp. 264-272, 6//, 2014.
38
[39] M. Asghari, M. Rahaeifard, M. Kahrobaiyan, M. Ahmadian, The modified couple stress functionally graded Timoshenko beam formulation, Materials & Design, Vol. 32, No. 3, pp. 1435-1443, 2011.
39
[40] L.-L. Ke, Y.-S. Wang, J. Yang, S. Kitipornchai, Nonlinear free vibration of size-dependent functionally graded microbeams, International Journal of Engineering Science, Vol. 50, No. 1, pp. 256-267, 2012.
40
[41] N. Shafiei, S. S. Mirjavadi, B. M. Afshari, S. Rabby, A. Hamouda, Nonlinear thermal buckling of axially functionally graded micro and nanobeams, Composite Structures, Vol. 168, pp. 428-439, 2017.
41
[42] S. Srividhya, P. Raghu, A. Rajagopal, J. Reddy, Nonlocal nonlinear analysis of functionally graded plates using third-order shear deformation theory, International Journal of Engineering Science, Vol. 125, pp. 1-22, 2018.
42
[43] E. Jomehzadeh, H. Noori, A. Saidi, The size-dependent vibration analysis of micro-plates based on a modified couple stress theory, Physica E: Low-dimensional Systems and Nanostructures, Vol. 43, No. 4, pp. 877-883, 2011.
43
[44] L. Yin, Q. Qian, L. Wang, W. Xia, Vibration analysis of microscale plates based on modified couple stress theory, Acta Mechanica Solida Sinica, Vol. 23, No. 5, pp. 386-393, 2010.
44
[45] L. He, J. Lou, E. Zhang, Y. Wang, Y. Bai, A size-dependent four variable refined plate model for functionally graded microplates based on modified couple stress theory, Composite Structures, Vol. 130, pp. 107-115, 10/15/, 2015.
45
[46] M. Asghari, Geometrically nonlinear micro-plate formulation based on the modified couple stress theory, International Journal of Engineering Science, Vol. 51, pp. 292-309, 2012.
46
[47] J. Lou, L. He, Closed-form solutions for nonlinear bending and free vibration of functionally graded microplates based on the modified couple stress theory, Composite Structures, Vol. 131, pp. 810-820, 11/1/, 2015.
47
[48] M. Mohammad-Abadi, A. Daneshmehr, Modified couple stress theory applied to dynamic analysis of composite laminated beams by considering different beam theories, International Journal of Engineering Science, Vol. 87, pp. 83-102, 2015.
48
[49] D. Shao, S. Hu, Q. Wang, F. Pang, Free vibration of refined higher-order shear deformation composite laminated beams with general boundary conditions, Composites Part B: Engineering, Vol. 108, pp. 75-90, 2017.
49
[50] A. R. Hadjesfandiari, G. F. Dargush, Couple stress theory for solids, International Journal of Solids and Structures, Vol. 48, No. 18, pp. 2496-2510, 2011.
50
ORIGINAL_ARTICLE
A comprehensive review on modeling of nanocomposite materials and structures
This work presents a historical review of the researches procured by various scientists and engineers dealing with the nanocomposite materials and continuous systems manufactured from such materials. Nanocomposites are advanced type of well-known composite materials which have been reinforced with nanosize reinforcing fibers and/or particles. Such materials can be better suit for the industrial applications of which remarkable improved material properties are needed. In other words, the material properties of nanocomposites are superior to those of macroscale composites due to the enhanced features of materials in the nanoscale. These materials are being more and more employed by designers in the aerospace, mechanics and automotive applications as constituent elements instead of the conventional composite materials. Henceforward, it is of great significance to be aware of the researches conducted in this are by researchers to be able to predict the behaviors of structures consisted of such materials in real working conditions. In what follows, the mechanical analyses performed on different types of nanocomposite structures including carbon nanotube reinforced (CNTR), graphene reinforced (GR), graphene platelet reinforced (GPLR), graphene oxide reinforced (GOR) and multi-scale hybrid (MSH) nanocomposite ones will be reviewed and the most crucial highlights of the proposed scientific activities will be discussed.
https://jcamech.ut.ac.ir/article_71701_2d83a8967a7ae3273406c0846a81d38e.pdf
2019-06-01
197
209
10.22059/jcamech.2019.282388.405
Nanocomposite materials
Carbon nanotube (CNT)
graphene
Graphene platelet
Graphene oxide
Multi-scale hybrid nanocomposites
Farzad
Ebrahimi
febrahimy@gmail.com
1
Department of Mechanical Engineering, Faculty of Engineering, Imam Khomeini International University, Qazvin, Iran
LEAD_AUTHOR
Ali
Dabbagh
alii.dabbagh@gmail.com
2
School of Mechanical Engineering, College of Engineering, University of Tehran, Tehran, Iran
AUTHOR
[1] K. Dastani, M. Moghimi Zand, Dynamic and Static Pull-in instability of electrostatically actuated nano/micro membranes under the effects of Casimir force and squeezed film damping, Journal of Computational Applied Mechanics, Vol. 47, No. 2, pp. 219-230, 2016.
1
[2] A. Ghorbanpour Arani, H. Baba Akbar Zarei, E. Haghparast, Application of Halpin-Tsai Method in Modelling and Size-dependent Vibration Analysis of CNTs/fiber/polymer Composite Microplates, Journal of Computational Applied Mechanics, Vol. 47, No. 1, pp. 45-52, 2016.
2
[3] N. Kordani, A. Fereidoon, M. Divsalar, A. Farajpour, Forced vibration of piezoelectric nanowires based on nonlocal elasticity theory, Journal of Computational Applied Mechanics, Vol. 47, No. 2, pp. 137-150, 2016.
3
[4] m. zakeri, R. Attarnejad, A. M. Ershadbakhsh, Analysis of Euler-Bernoulli nanobeams: A mechanical-based solution, Journal of Computational Applied Mechanics, Vol. 47, No. 2, pp. 159-180, 2016.
4
[5] M. Goodarzi, M. Nikkhah Bahrami, V. Tavaf, Refined plate theory for free vibration analysis of FG nanoplates using the nonlocal continuum plate model, Journal of Computational Applied Mechanics, Vol. 48, No. 1, pp. 123-136, 2017.
5
[6] M. Arda, M. Aydogdu, Longitudinal Magnetic Field Effect on Torsional Vibration of Carbon Nanotubes, Journal of Computational Applied Mechanics, Vol. 49, No. 2, pp. 304-313, 2018.
6
[7] D.-L. Shi, X.-Q. Feng, Y. Y. Huang, K.-C. Hwang, H. Gao, The effect of nanotube waviness and agglomeration on the elastic property of carbon nanotube-reinforced composites, Journal of Engineering Materials and Technology, Vol. 126, No. 3, pp. 250-257, 2004.
7
[8] L.-L. Ke, J. Yang, S. Kitipornchai, Nonlinear free vibration of functionally graded carbon nanotube-reinforced composite beams, Composite Structures, Vol. 92, No. 3, pp. 676-683, 2010.
8
[9] H.-S. Shen, C.-L. Zhang, Thermal buckling and postbuckling behavior of functionally graded carbon nanotube-reinforced composite plates, Materials & Design, Vol. 31, No. 7, pp. 3403-3411, 2010/08/01/, 2010.
9
[10] H.-S. Shen, Thermal buckling and postbuckling behavior of functionally graded carbon nanotube-reinforced composite cylindrical shells, Composites Part B: Engineering, Vol. 43, No. 3, pp. 1030-1038, 2012/04/01/, 2012.
10
[11] H.-S. Shen, Y. Xiang, Nonlinear vibration of nanotube-reinforced composite cylindrical shells in thermal environments, Computer Methods in Applied Mechanics and Engineering, Vol. 213-216, pp. 196-205, 2012/03/01/, 2012.
11
[12] B. Sobhani Aragh, A. H. Nasrollah Barati, H. Hedayati, Eshelby–Mori–Tanaka approach for vibrational behavior of continuously graded carbon nanotube-reinforced cylindrical panels, Composites Part B: Engineering, Vol. 43, No. 4, pp. 1943-1954, 2012/06/01/, 2012.
12
[13] Z.-X. Wang, H.-S. Shen, Nonlinear dynamic response of nanotube-reinforced composite plates resting on elastic foundations in thermal environments, Nonlinear Dynamics, Vol. 70, No. 1, pp. 735-754, October 01, 2012.
13
[14] M. H. Yas, N. Samadi, Free vibrations and buckling analysis of carbon nanotube-reinforced composite Timoshenko beams on elastic foundation, International Journal of Pressure Vessels and Piping, Vol. 98, pp. 119-128, 2012/10/01/, 2012.
14
[15] A. Alibeigloo, Static analysis of functionally graded carbon nanotube-reinforced composite plate embedded in piezoelectric layers by using theory of elasticity, Composite Structures, Vol. 95, pp. 612-622, 2013/01/01/, 2013.
15
[16] A. Alibeigloo, Elasticity solution of functionally graded carbon-nanotube-reinforced composite cylindrical panel with piezoelectric sensor and actuator layers, Smart Materials and Structures, Vol. 22, No. 7, pp. 075013, 2013/06/06, 2013.
16
[17] A. Alibeigloo, K. M. Liew, Thermoelastic analysis of functionally graded carbon nanotube-reinforced composite plate using theory of elasticity, Composite Structures, Vol. 106, pp. 873-881, 2013/12/01/, 2013.
17
[18] L.-L. Ke, J. Yang, S. Kitipornchai, Dynamic Stability of Functionally Graded Carbon Nanotube-Reinforced Composite Beams, Mechanics of Advanced Materials and Structures, Vol. 20, No. 1, pp. 28-37, 2013/01/01, 2013.
18
[19] Z. X. Lei, K. M. Liew, J. L. Yu, Free vibration analysis of functionally graded carbon nanotube-reinforced composite plates using the element-free kp-Ritz method in thermal environment, Composite Structures, Vol. 106, pp. 128-138, 2013/12/01/, 2013.
19
[20] P. Malekzadeh, M. Shojaee, Buckling analysis of quadrilateral laminated plates with carbon nanotubes reinforced composite layers, Thin-Walled Structures, Vol. 71, pp. 108-118, 2013/10/01/, 2013.
20
[21] M. Rafiee, J. Yang, S. Kitipornchai, Large amplitude vibration of carbon nanotube reinforced functionally graded composite beams with piezoelectric layers, Composite Structures, Vol. 96, pp. 716-725, 2013/02/01/, 2013.
21
[22] M. Rafiee, J. Yang, S. Kitipornchai, Thermal bifurcation buckling of piezoelectric carbon nanotube reinforced composite beams, Computers & Mathematics with Applications, Vol. 66, No. 7, pp. 1147-1160, 2013/10/01/, 2013.
22
[23] H.-S. Shen, Y. Xiang, Nonlinear analysis of nanotube-reinforced composite beams resting on elastic foundations in thermal environments, Engineering Structures, Vol. 56, pp. 698-708, 2013/11/01/, 2013.
23
[24] H.-S. Shen, Y. Xiang, Postbuckling of nanotube-reinforced composite cylindrical shells under combined axial and radial mechanical loads in thermal environment, Composites Part B: Engineering, Vol. 52, pp. 311-322, 2013/09/01/, 2013.
24
[25] M. H. Yas, A. Pourasghar, S. Kamarian, M. Heshmati, Three-dimensional free vibration analysis of functionally graded nanocomposite cylindrical panels reinforced by carbon nanotube, Materials & Design, Vol. 49, pp. 583-590, 2013/08/01/, 2013.
25
[26] A. Alibeigloo, Free vibration analysis of functionally graded carbon nanotube-reinforced composite cylindrical panel embedded in piezoelectric layers by using theory of elasticity, European Journal of Mechanics - A/Solids, Vol. 44, pp. 104-115, 2014/03/01/, 2014.
26
[27] R. Ansari, M. Faghih Shojaei, V. Mohammadi, R. Gholami, F. Sadeghi, Nonlinear forced vibration analysis of functionally graded carbon nanotube-reinforced composite Timoshenko beams, Composite Structures, Vol. 113, pp. 316-327, 2014/07/01/, 2014.
27
[28] Y. Heydarpour, M. M. Aghdam, P. Malekzadeh, Free vibration analysis of rotating functionally graded carbon nanotube-reinforced composite truncated conical shells, Composite Structures, Vol. 117, pp. 187-200, 2014/11/01/, 2014.
28
[29] Z. X. Lei, L. W. Zhang, K. M. Liew, J. L. Yu, Dynamic stability analysis of carbon nanotube-reinforced functionally graded cylindrical panels using the element-free kp-Ritz method, Composite Structures, Vol. 113, pp. 328-338, 2014/07/01/, 2014.
29
[30] K. M. Liew, Z. X. Lei, J. L. Yu, L. W. Zhang, Postbuckling of carbon nanotube-reinforced functionally graded cylindrical panels under axial compression using a meshless approach, Computer Methods in Applied Mechanics and Engineering, Vol. 268, pp. 1-17, 2014/01/01/, 2014.
30
[31] F. Lin, Y. Xiang, Vibration of carbon nanotube reinforced composite beams based on the first and third order beam theories, Applied Mathematical Modelling, Vol. 38, No. 15, pp. 3741-3754, 2014/08/01/, 2014.
31
[32] H.-S. Shen, Y. Xiang, Postbuckling of axially compressed nanotube-reinforced composite cylindrical panels resting on elastic foundations in thermal environments, Composites Part B: Engineering, Vol. 67, pp. 50-61, 2014.
32
[33] L. W. Zhang, Z. X. Lei, K. M. Liew, J. L. Yu, Static and dynamic of carbon nanotube reinforced functionally graded cylindrical panels, Composite Structures, Vol. 111, pp. 205-212, 2014/05/01/, 2014.
33
[34] L. W. Zhang, Z. X. Lei, K. M. Liew, J. L. Yu, Large deflection geometrically nonlinear analysis of carbon nanotube-reinforced functionally graded cylindrical panels, Computer Methods in Applied Mechanics and Engineering, Vol. 273, pp. 1-18, 2014/05/01/, 2014.
34
[35] A. Alibeigloo, A. Emtehani, Static and free vibration analyses of carbon nanotube-reinforced composite plate using differential quadrature method, Meccanica, Vol. 50, No. 1, pp. 61-76, January 01, 2015.
35
[36] R. Ansari, E. Hasrati, M. Faghih Shojaei, R. Gholami, A. Shahabodini, Forced vibration analysis of functionally graded carbon nanotube-reinforced composite plates using a numerical strategy, Physica E: Low-dimensional Systems and Nanostructures, Vol. 69, pp. 294-305, 2015/05/01/, 2015.
36
[37] M. Heshmati, M. Yas, F. Daneshmand, A comprehensive study on the vibrational behavior of CNT-reinforced composite beams, Composite Structures, Vol. 125, pp. 434-448, 2015.
37
[38] J. Jam, Y. Kiani, Low velocity impact response of functionally graded carbon nanotube reinforced composite beams in thermal environment, Composite Structures, Vol. 132, pp. 35-43, 2015.
38
[39] J. E. Jam, Y. Kiani, Buckling of pressurized functionally graded carbon nanotube reinforced conical shells, Composite Structures, Vol. 125, pp. 586-595, 2015/07/01/, 2015.
39
[40] Z. Lei, L. Zhang, K. Liew, Free vibration analysis of laminated FG-CNT reinforced composite rectangular plates using the kp-Ritz method, Composite Structures, Vol. 127, pp. 245-259, 2015.
40
[41] M. Mirzaei, Y. Kiani, Thermal buckling of temperature dependent FG-CNT reinforced composite conical shells, Aerospace Science and Technology, Vol. 47, pp. 42-53, 2015/12/01/, 2015.
41
[42] P. Phung-Van, M. Abdel-Wahab, K. Liew, S. Bordas, H. Nguyen-Xuan, Isogeometric analysis of functionally graded carbon nanotube-reinforced composite plates using higher-order shear deformation theory, Composite structures, Vol. 123, pp. 137-149, 2015.
42
[43] H.-S. Shen, Y. Xiang, Thermal postbuckling of nanotube-reinforced composite cylindrical panels resting on elastic foundations, Composite Structures, Vol. 123, pp. 383-392, 2015/05/01/, 2015.
43
[44] N. Wattanasakulpong, A. Chaikittiratana, Exact solutions for static and dynamic analyses of carbon nanotube-reinforced composite plates with Pasternak elastic foundation, Applied Mathematical Modelling, Vol. 39, No. 18, pp. 5459-5472, 2015.
44
[45] L. Zhang, K. Liew, Large deflection analysis of FG-CNT reinforced composite skew plates resting on Pasternak foundations using an element-free approach, Composite Structures, Vol. 132, pp. 974-983, 2015.
45
[46] L. W. Zhang, Z. X. Lei, K. M. Liew, Free vibration analysis of functionally graded carbon nanotube-reinforced composite triangular plates using the FSDT and element-free IMLS-Ritz method, Composite Structures, Vol. 120, pp. 189-199, 2015/02/01/, 2015.
46
[47] L. W. Zhang, Z. X. Lei, K. M. Liew, Vibration characteristic of moderately thick functionally graded carbon nanotube reinforced composite skew plates, Composite Structures, Vol. 122, pp. 172-183, 2015/04/01/, 2015.
47
[48] L. W. Zhang, K. M. Liew, Geometrically nonlinear large deformation analysis of functionally graded carbon nanotube reinforced composite straight-sided quadrilateral plates, Computer Methods in Applied Mechanics and Engineering, Vol. 295, pp. 219-239, 2015/10/01/, 2015.
48
[49] A. Alibeigloo, Elasticity solution of functionally graded carbon nanotube-reinforced composite cylindrical panel subjected to thermo mechanical load, Composites Part B: Engineering, Vol. 87, pp. 214-226, 2016/02/15/, 2016.
49
[50] R. Ansari, T. Pourashraf, R. Gholami, A. Shahabodini, Analytical solution for nonlinear postbuckling of functionally graded carbon nanotube-reinforced composite shells with piezoelectric layers, Composites Part B: Engineering, Vol. 90, pp. 267-277, 2016/04/01/, 2016.
50
[51] R. Ansari, J. Torabi, Numerical study on the buckling and vibration of functionally graded carbon nanotube-reinforced composite conical shells under axial loading, Composites Part B: Engineering, Vol. 95, pp. 196-208, 2016/06/15/, 2016.
51
[52] Y. Kiani, Shear buckling of FG-CNT reinforced composite plates using Chebyshev-Ritz method, Composites Part B: Engineering, Vol. 105, pp. 176-187, 2016/11/15/, 2016.
52
[53] Z. Lei, L. Zhang, K. Liew, Parametric analysis of frequency of rotating laminated CNT reinforced functionally graded cylindrical panels, Composites Part B: Engineering, Vol. 90, pp. 251-266, 2016.
53
[54] Z. X. Lei, L. W. Zhang, K. M. Liew, Analysis of laminated CNT reinforced functionally graded plates using the element-free kp-Ritz method, Composites Part B: Engineering, Vol. 84, pp. 211-221, 2016/01/01/, 2016.
54
[55] M. Mirzaei, Y. Kiani, Free vibration of functionally graded carbon nanotube reinforced composite cylindrical panels, Composite Structures, Vol. 142, pp. 45-56, 2016/05/10/, 2016.
55
[56] Z. Song, L. Zhang, K. Liew, Dynamic responses of CNT reinforced composite plates subjected to impact loading, Composites Part B: Engineering, Vol. 99, pp. 154-161, 2016.
56
[57] B. Thomas, T. Roy, Vibration analysis of functionally graded carbon nanotube-reinforced composite shell structures, Acta Mechanica, Vol. 227, No. 2, pp. 581-599, February 01, 2016.
57
[58] F. Tornabene, N. Fantuzzi, M. Bacciocchi, E. Viola, Effect of agglomeration on the natural frequencies of functionally graded carbon nanotube-reinforced laminated composite doubly-curved shells, Composites Part B: Engineering, Vol. 89, pp. 187-218, 2016.
58
[59] H. L. Wu, J. Yang, S. Kitipornchai, Nonlinear vibration of functionally graded carbon nanotube-reinforced composite beams with geometric imperfections, Composites Part B: Engineering, Vol. 90, pp. 86-96, 2016/04/01/, 2016.
59
[60] L. Zhang, K. Liew, J. Reddy, Postbuckling analysis of bi-axially compressed laminated nanocomposite plates using the first-order shear deformation theory, Composite Structures, Vol. 152, pp. 418-431, 2016.
60
[61] L. W. Zhang, K. M. Liew, J. N. Reddy, Postbuckling of carbon nanotube reinforced functionally graded plates with edges elastically restrained against translation and rotation under axial compression, Computer Methods in Applied Mechanics and Engineering, Vol. 298, pp. 1-28, 2016/01/01/, 2016.
61
[62] L. W. Zhang, Z. G. Song, K. M. Liew, Optimal shape control of CNT reinforced functionally graded composite plates using piezoelectric patches, Composites Part B: Engineering, Vol. 85, pp. 140-149, 2016/02/01/, 2016.
62
[63] R. Ansari, J. Torabi, M. Faghih Shojaei, Buckling and vibration analysis of embedded functionally graded carbon nanotube-reinforced composite annular sector plates under thermal loading, Composites Part B: Engineering, Vol. 109, pp. 197-213, 2017.
63
[64] Ö. Civalek, Free vibration of carbon nanotubes reinforced (CNTR) and functionally graded shells and plates based on FSDT via discrete singular convolution method, Composites Part B: Engineering, Vol. 111, pp. 45-59, 2017/02/15/, 2017.
64
[65] F. Ebrahimi, N. Farazmandnia, Thermo-mechanical vibration analysis of sandwich beams with functionally graded carbon nanotube-reinforced composite face sheets based on a higher-order shear deformation beam theory, Mechanics of Advanced Materials and Structures, Vol. 24, No. 10, pp. 820-829, 2017/07/27, 2017.
65
[66] F. Ebrahimi, S. Habibi, Low-velocity impact response of laminated FG-CNT reinforced composite plates in thermal environment, ADVANCES IN NANO RESEARCH, Vol. 5, No. 2, pp. 69-97, 2017.
66
[67] N. Fantuzzi, F. Tornabene, M. Bacciocchi, R. Dimitri, Free vibration analysis of arbitrarily shaped Functionally Graded Carbon Nanotube-reinforced plates, Composites Part B: Engineering, Vol. 115, pp. 384-408, 2017.
67
[68] E. García-Macías, L. Rodríguez-Tembleque, R. Castro-Triguero, A. Sáez, Eshelby-Mori-Tanaka approach for post-buckling analysis of axially compressed functionally graded CNT/polymer composite cylindrical panels, Composites Part B: Engineering, Vol. 128, pp. 208-224, 2017.
68
[69] A. Ghorbani Shenas, P. Malekzadeh, S. Ziaee, Vibration analysis of pre-twisted functionally graded carbon nanotube reinforced composite beams in thermal environment, Composite Structures, Vol. 162, pp. 325-340, 2017/02/15/, 2017.
69
[70] P. Kumar, J. Srinivas, Vibration, buckling and bending behavior of functionally graded multi-walled carbon nanotube reinforced polymer composite plates using the layer-wise formulation, Composite Structures, Vol. 177, pp. 158-170, 2017/10/01/, 2017.
70
[71] M. Nejati, A. Asanjarani, R. Dimitri, F. Tornabene, Static and free vibration analysis of functionally graded conical shells reinforced by carbon nanotubes, International Journal of Mechanical Sciences, Vol. 130, pp. 383-398, 2017/09/01/, 2017.
71
[72] Z. Shi, X. Yao, F. Pang, Q. Wang, An exact solution for the free-vibration analysis of functionally graded carbon-nanotube-reinforced composite beams with arbitrary boundary conditions, Scientific Reports, Vol. 7, No. 1, pp. 12909, 2017/10/10, 2017.
72
[73] Q. Wang, X. Cui, B. Qin, Q. Liang, Vibration analysis of the functionally graded carbon nanotube reinforced composite shallow shells with arbitrary boundary conditions, Composite Structures, Vol. 182, pp. 364-379, 2017/12/15/, 2017.
73
[74] Q. Wang, B. Qin, D. Shi, Q. Liang, A semi-analytical method for vibration analysis of functionally graded carbon nanotube reinforced composite doubly-curved panels and shells of revolution, Composite Structures, Vol. 174, pp. 87-109, 2017/08/15/, 2017.
74
[75] H. Zarei, M. Fallah, H. Bisadi, A. Daneshmehr, G. Minak, Multiple impact response of temperature-dependent carbon nanotube-reinforced composite (CNTRC) plates with general boundary conditions, Composites Part B: Engineering, Vol. 113, pp. 206-217, 2017.
75
[76] L. W. Zhang, Z. G. Song, P. Qiao, K. M. Liew, Modeling of dynamic responses of CNT-reinforced composite cylindrical shells under impact loads, Computer Methods in Applied Mechanics and Engineering, Vol. 313, pp. 889-903, 2017/01/01/, 2017.
76
[77] F. Ebrahimi, N. Farazmandnia, Thermal buckling analysis of functionally graded carbon nanotube-reinforced composite sandwich beams, Steel and composite structures, Vol. 27, No. 2, pp. 149-159, 2018.
77
[78] F. Ebrahimi, P. Rostami, Wave propagation analysis of carbon nanotube reinforced composite beams, The European Physical Journal Plus, Vol. 133, No. 7, pp. 285, July 30, 2018.
78
[79] F. Ebrahimi, P. Rostami, Propagation of elastic waves in thermally affected embedded carbon-nanotube-reinforced composite beams via various shear deformation plate theories, Structural Engineering and Mechanics, Vol. 66, No. 4, pp. 495-504, 05/25, 2018. En
79
[80] Q. Wang, F. Pang, B. Qin, Q. Liang, A unified formulation for free vibration of functionally graded carbon nanotube reinforced composite spherical panels and shells of revolution with general elastic restraints by means of the Rayleigh–Ritz method, Polymer Composites, Vol. 39, No. S2, pp. E924-E944, 2018.
80
[81] S. Zghal, A. Frikha, F. Dammak, Non-linear bending analysis of nanocomposites reinforced by graphene-nanotubes with finite shell element and membrane enhancement, Engineering Structures, Vol. 158, pp. 95-109, 2018/03/01/, 2018.
81
[82] R. Zhong, Q. Wang, J. Tang, C. Shuai, B. Qin, Vibration analysis of functionally graded carbon nanotube reinforced composites (FG-CNTRC) circular, annular and sector plates, Composite Structures, Vol. 194, pp. 49-67, 2018/06/15/, 2018.
82
[83] F.-Y. Zhu, S. Jeong, H. J. Lim, G. J. Yun, Probabilistic multiscale modeling of 3D randomly oriented and aligned wavy CNT nanocomposites and RVE size determination, Composite Structures, Vol. 195, pp. 265-275, 2018/07/01/, 2018.
83
[84] F. Ebrahimi, Z. E. Hajilak, M. Habibi, H. Safarpour, Buckling and vibration characteristics of a carbon nanotube-reinforced spinning cantilever cylindrical 3D shell conveying viscous fluid flow and carrying spring-mass systems under various temperature distributions, Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, Vol. 0, No. 0, pp. 0954406219832323, 2019.
84
[85] M. Mirzaei, Y. Kiani, Isogeometric thermal buckling analysis of temperature dependent FG graphene reinforced laminated plates using NURBS formulation, Composite Structures, Vol. 180, pp. 606-616, 2017/11/15/, 2017.
85
[86] H.-S. Shen, F. Lin, Y. Xiang, Nonlinear vibration of functionally graded graphene-reinforced composite laminated beams resting on elastic foundations in thermal environments, Nonlinear Dynamics, Vol. 90, No. 2, pp. 899-914, October 01, 2017.
86
[87] H.-S. Shen, F. Lin, Y. Xiang, Nonlinear bending and thermal postbuckling of functionally graded graphene-reinforced composite laminated beams resting on elastic foundations, Engineering Structures, Vol. 140, pp. 89-97, 2017/06/01/, 2017.
87
[88] H.-S. Shen, Y. Xiang, Y. Fan, Nonlinear vibration of functionally graded graphene-reinforced composite laminated cylindrical shells in thermal environments, Composite Structures, Vol. 182, pp. 447-456, 2017/12/15/, 2017.
88
[89] H.-S. Shen, Y. Xiang, F. Lin, Thermal buckling and postbuckling of functionally graded graphene-reinforced composite laminated plates resting on elastic foundations, Thin-Walled Structures, Vol. 118, pp. 229-237, 2017/09/01/, 2017.
89
[90] H.-S. Shen, Y. Xiang, F. Lin, Nonlinear bending of functionally graded graphene-reinforced composite laminated plates resting on elastic foundations in thermal environments, Composite Structures, Vol. 170, pp. 80-90, 2017/06/15/, 2017.
90
[91] H.-S. Shen, Y. Xiang, F. Lin, Nonlinear vibration of functionally graded graphene-reinforced composite laminated plates in thermal environments, Computer Methods in Applied Mechanics and Engineering, Vol. 319, pp. 175-193, 2017/06/01/, 2017.
91
[92] H.-S. Shen, Y. Xiang, F. Lin, D. Hui, Buckling and postbuckling of functionally graded graphene-reinforced composite laminated plates in thermal environments, Composites Part B: Engineering, Vol. 119, pp. 67-78, 2017.
92
[93] Y. Fan, Y. Xiang, H.-S. Shen, D. Hui, Nonlinear low-velocity impact response of FG-GRC laminated plates resting on visco-elastic foundations, Composites Part B: Engineering, Vol. 144, pp. 184-194, 2018.
93
[94] Y. Fan, Y. Xiang, H.-S. Shen, H. Wang, Low-velocity impact response of FG-GRC laminated beams resting on visco-elastic foundations, International Journal of Mechanical Sciences, Vol. 141, pp. 117-126, 2018/06/01/, 2018.
94
[95] E. García-Macías, L. Rodriguez-Tembleque, A. Sáez, Bending and free vibration analysis of functionally graded graphene vs. carbon nanotube reinforced composite plates, Composite Structures, Vol. 186, pp. 123-138, 2018.
95
[96] Y. Kiani, Isogeometric large amplitude free vibration of graphene reinforced laminated plates in thermal environment using NURBS formulation, Computer Methods in Applied Mechanics and Engineering, Vol. 332, pp. 86-101, 2018/04/15/, 2018.
96
[97] Y. Kiani, NURBS-based isogeometric thermal postbuckling analysis of temperature dependent graphene reinforced composite laminated plates, Thin-Walled Structures, Vol. 125, pp. 211-219, 2018/04/01/, 2018.
97
[98] Y. Kiani, M. Mirzaei, Enhancement of non-linear thermal stability of temperature dependent laminated beams with graphene reinforcements, Composite Structures, Vol. 186, pp. 114-122, 2018.
98
[99] Z. Lei, Q. Su, H. Zeng, Y. Zhang, C. Yu, Parametric studies on buckling behavior of functionally graded graphene-reinforced composites laminated plates in thermal environment, Composite Structures, Vol. 202, pp. 695-709, 2018/10/15/, 2018.
99
[100] H.-S. Shen, Y. Xiang, Postbuckling behavior of functionally graded graphene-reinforced composite laminated cylindrical shells under axial compression in thermal environments, Computer Methods in Applied Mechanics and Engineering, Vol. 330, pp. 64-82, 2018/03/01/, 2018.
100
[101] H.-S. Shen, Y. Xiang, Postbuckling of functionally graded graphene-reinforced composite laminated cylindrical shells subjected to external pressure in thermal environments, Thin-Walled Structures, Vol. 124, pp. 151-160, 2018/03/01/, 2018.
101
[102] H.-S. Shen, Y. Xiang, Y. Fan, Postbuckling of functionally graded graphene-reinforced composite laminated cylindrical panels under axial compression in thermal environments, International Journal of Mechanical Sciences, Vol. 135, pp. 398-409, 2018/01/01/, 2018.
102
[103] H.-S. Shen, Y. Xiang, Y. Fan, D. Hui, Nonlinear bending analysis of FG-GRC laminated cylindrical panels on elastic foundations in thermal environments, Composites Part B: Engineering, Vol. 141, pp. 148-157, 2018.
103
[104] H.-S. Shen, Y. Xiang, Y. Fan, D. Hui, Nonlinear vibration of functionally graded graphene-reinforced composite laminated cylindrical panels resting on elastic foundations in thermal environments, Composites Part B: Engineering, Vol. 136, pp. 177-186, 2018/03/01/, 2018.
104
[105] Y. Fan, Y. Xiang, H.-S. Shen, Nonlinear forced vibration of FG-GRC laminated plates resting on visco-Pasternak foundations, Composite Structures, Vol. 209, pp. 443-452, 2019/02/01/, 2019.
105
[106] Y. Kiani, Buckling of functionally graded graphene reinforced conical shells under external pressure in thermal environment, Composites Part B: Engineering, Vol. 156, pp. 128-137, 2019/01/01/, 2019.
106
[107] Y. Wang, J. Yu, W. Dai, Y. Song, D. Wang, L. Zeng, N. Jiang, Enhanced thermal and electrical properties of epoxy composites reinforced with graphene nanoplatelets, Polymer Composites, Vol. 36, No. 3, pp. 556-565, 2015.
107
[108] S. Kitipornchai, D. Chen, J. Yang, Free vibration and elastic buckling of functionally graded porous beams reinforced by graphene platelets, Materials & Design, Vol. 116, pp. 656-665, 2017/02/15/, 2017.
108
[109] M. Song, S. Kitipornchai, J. Yang, Free and forced vibrations of functionally graded polymer composite plates reinforced with graphene nanoplatelets, Composite Structures, Vol. 159, pp. 579-588, 2017.
109
[110] M. Song, J. Yang, S. Kitipornchai, W. Zhu, Buckling and postbuckling of biaxially compressed functionally graded multilayer graphene nanoplatelet-reinforced polymer composite plates, International Journal of Mechanical Sciences, Vol. 131-132, pp. 345-355, 2017/10/01/, 2017.
110
[111] H. Wu, S. Kitipornchai, J. Yang, Thermal buckling and postbuckling of functionally graded graphene nanocomposite plates, Materials & Design, Vol. 132, pp. 430-441, 2017/10/15/, 2017.
111
[112] H. Wu, J. Yang, S. Kitipornchai, Dynamic instability of functionally graded multilayer graphene nanocomposite beams in thermal environment, Composite Structures, Vol. 162, pp. 244-254, 2017/02/15/, 2017.
112
[113] C. Feng, S. Kitipornchai, J. Yang, Nonlinear bending of polymer nanocomposite beams reinforced with non-uniformly distributed graphene platelets (GPLs), Composites Part B: Engineering, Vol. 110, pp. 132-140, 2017.
113
[114] J. Yang, H. Wu, S. Kitipornchai, Buckling and postbuckling of functionally graded multilayer graphene platelet-reinforced composite beams, Composite Structures, Vol. 161, pp. 111-118, 2017.
114
[115] C. Feng, S. Kitipornchai, J. Yang, Nonlinear free vibration of functionally graded polymer composite beams reinforced with graphene nanoplatelets (GPLs), Engineering Structures, Vol. 140, pp. 110-119, 2017/06/01/, 2017.
115
[116] M. R. Barati, A. M. Zenkour, Post-buckling analysis of refined shear deformable graphene platelet reinforced beams with porosities and geometrical imperfection, Composite Structures, Vol. 181, pp. 194-202, 2017.
116
[117] D. Chen, J. Yang, S. Kitipornchai, Nonlinear vibration and postbuckling of functionally graded graphene reinforced porous nanocomposite beams, Composites Science and Technology, Vol. 142, pp. 235-245, 2017/04/12/, 2017.
117
[118] B. Yang, S. Kitipornchai, Y.-F. Yang, J. Yang, 3D thermo-mechanical bending solution of functionally graded graphene reinforced circular and annular plates, Applied Mathematical Modelling, Vol. 49, pp. 69-86, 2017/09/01/, 2017.
118
[119] B. Yang, J. Yang, S. Kitipornchai, Thermoelastic analysis of functionally graded graphene reinforced rectangular plates based on 3D elasticity, Meccanica, Vol. 52, No. 10, pp. 2275-2292, August 01, 2017.
119
[120] M. R. Barati, A. M. Zenkour, Analysis of postbuckling of graded porous GPL-reinforced beams with geometrical imperfection, Mechanics of Advanced Materials and Structures, pp. 1-9, 2018.
120
[121] R. Bahaadini, A. R. Saidi, Aeroelastic analysis of functionally graded rotating blades reinforced with graphene nanoplatelets in supersonic flow, Aerospace Science and Technology, Vol. 80, pp. 381-391, 2018/09/01/, 2018.
121
[122] M. R. Barati, A. M. Zenkour, Vibration analysis of functionally graded graphene platelet reinforced cylindrical shells with different porosity distributions, Mechanics of Advanced Materials and Structures, pp. 1-9, 2018.
122
[123] Y. H. Dong, Y. H. Li, D. Chen, J. Yang, Vibration characteristics of functionally graded graphene reinforced porous nanocomposite cylindrical shells with spinning motion, Composites Part B: Engineering, Vol. 145, pp. 1-13, 2018/07/15/, 2018.
123
[124] Y. H. Dong, B. Zhu, Y. Wang, Y. H. Li, J. Yang, Nonlinear free vibration of graded graphene reinforced cylindrical shells: Effects of spinning motion and axial load, Journal of Sound and Vibration, Vol. 437, pp. 79-96, 2018/12/22/, 2018.
124
[125] F. Ebrahimi, M. Habibi, H. Safarpour, On modeling of wave propagation in a thermally affected GNP-reinforced imperfect nanocomposite shell, Engineering with Computers, November 30, 2018.
125
[126] K. Gao, W. Gao, D. Chen, J. Yang, Nonlinear free vibration of functionally graded graphene platelets reinforced porous nanocomposite plates resting on elastic foundation, Composite Structures, Vol. 204, pp. 831-846, 2018/11/15/, 2018.
126
[127] R. Gholami, R. Ansari, Nonlinear harmonically excited vibration of third-order shear deformable functionally graded graphene platelet-reinforced composite rectangular plates, Engineering Structures, Vol. 156, pp. 197-209, 2018/02/01/, 2018.
127
[128] R. Gholami, R. Ansari, On the Nonlinear Vibrations of Polymer Nanocomposite Rectangular Plates Reinforced by Graphene Nanoplatelets: A Unified Higher-Order Shear Deformable Model, Iranian Journal of Science and Technology, Transactions of Mechanical Engineering, May 21, 2018.
128
[129] H. Guo, S. Cao, T. Yang, Y. Chen, Vibration of laminated composite quadrilateral plates reinforced with graphene nanoplatelets using the element-free IMLS-Ritz method, International Journal of Mechanical Sciences, Vol. 142-143, pp. 610-621, 2018/07/01/, 2018.
129
[130] H. Guo, S. Cao, T. Yang, Y. Chen, Geometrically nonlinear analysis of laminated composite quadrilateral plates reinforced with graphene nanoplatelets using the element-free IMLS-Ritz method, Composites Part B: Engineering, Vol. 154, pp. 216-224, 2018/12/01/, 2018.
130
[131] S. M. Hosseini, C. Zhang, Coupled thermoelastic analysis of an FG multilayer graphene platelets-reinforced nanocomposite cylinder using meshless GFD method: A modified micromechanical model, Engineering Analysis with Boundary Elements, Vol. 88, pp. 80-92, 2018/03/01/, 2018.
131
[132] K. Li, D. Wu, X. Chen, J. Cheng, Z. Liu, W. Gao, M. Liu, Isogeometric Analysis of functionally graded porous plates reinforced by graphene platelets, Composite Structures, Vol. 204, pp. 114-130, 2018/11/15/, 2018.
132
[133] Q. Li, D. Wu, X. Chen, L. Liu, Y. Yu, W. Gao, Nonlinear vibration and dynamic buckling analyses of sandwich functionally graded porous plate with graphene platelet reinforcement resting on Winkler–Pasternak elastic foundation, International Journal of Mechanical Sciences, Vol. 148, pp. 596-610, 2018/11/01/, 2018.
133
[134] D. Liu, S. Kitipornchai, W. Chen, J. Yang, Three-dimensional buckling and free vibration analyses of initially stressed functionally graded graphene reinforced composite cylindrical shell, Composite Structures, Vol. 189, pp. 560-569, 2018.
134
[135] M. R. Reddy, W. Karunasena, W. Lokuge, Free vibration of functionally graded-GPL reinforced composite plates with different boundary conditions, Aerospace Science and Technology, Vol. 78, pp. 147-156, 2018/07/01/, 2018.
135
[136] M. Song, J. Yang, S. Kitipornchai, Bending and buckling analyses of functionally graded polymer composite plates reinforced with graphene nanoplatelets, Composites Part B: Engineering, Vol. 134, pp. 106-113, 2018.
136
[137] A. Wang, H. Chen, Y. Hao, W. Zhang, Vibration and bending behavior of functionally graded nanocomposite doubly-curved shallow shells reinforced by graphene nanoplatelets, Results in Physics, Vol. 9, pp. 550-559, 2018/06/01/, 2018.
137
[138] Y. Wang, C. Feng, Z. Zhao, F. Lu, J. Yang, Torsional buckling of graphene platelets (GPLs) reinforced functionally graded cylindrical shell with cutout, Composite Structures, Vol. 197, pp. 72-79, 2018/08/01/, 2018.
138
[139] Y. Wang, C. Feng, Z. Zhao, J. Yang, Eigenvalue buckling of functionally graded cylindrical shells reinforced with graphene platelets (GPL), Composite Structures, Vol. 202, pp. 38-46, 2018/10/15/, 2018.
139
[140] H. Wu, J. Yang, S. Kitipornchai, Parametric instability of thermo-mechanically loaded functionally graded graphene reinforced nanocomposite plates, International Journal of Mechanical Sciences, Vol. 135, pp. 431-440, 2018/01/01/, 2018.
140
[141] B. Yang, J. Mei, D. Chen, F. Yu, J. Yang, 3D thermo-mechanical solution of transversely isotropic and functionally graded graphene reinforced elliptical plates, Composite Structures, Vol. 184, pp. 1040-1048, 2018/01/15/, 2018.
141
[142] Z. Yang, J. Yang, A. Liu, J. Fu, Nonlinear in-plane instability of functionally graded multilayer graphene reinforced composite shallow arches, Composite Structures, Vol. 204, pp. 301-312, 2018/11/15/, 2018.
142
[143] S. Blooriyan, R. Ansari, A. Darvizeh, R. Gholami, H. Rouhi, Postbuckling analysis of functionally graded graphene platelet-reinforced polymer composite cylindrical shells using an analytical solution approach, Applied Mathematics and Mechanics, May 16, 2019.
143
[144] R. Gholami, R. Ansari, Nonlinear stability and vibration of pre/post-buckled multilayer FG-GPLRPC rectangular plates, Applied Mathematical Modelling, Vol. 65, pp. 627-660, 2019/01/01/, 2019.
144
[145] M. Haboussi, A. Sankar, M. Ganapathi, Nonlinear axisymmetric dynamic buckling of functionally graded graphene reinforced porous nanocomposite spherical caps, Mechanics of Advanced Materials and Structures, pp. 1-14, 2019.
145
[146] S. Qaderi, F. Ebrahimi, A. Seyfi, An investigation of the vibration of multi-layer composite beams reinforced by graphene platelets resting on two parameter viscoelastic foundation, SN Applied Sciences, Vol. 1, No. 5, pp. 399, April 03, 2019.
146
[147] M. Song, X. Li, S. Kitipornchai, Q. Bi, J. Yang, Low-velocity impact response of geometrically nonlinear functionally graded graphene platelet-reinforced nanocomposite plates, Nonlinear Dynamics, Vol. 95, No. 3, pp. 2333-2352, February 01, 2019.
147
[148] Y. Q. Wang, C. Ye, J. W. Zu, Nonlinear vibration of metal foam cylindrical shells reinforced with graphene platelets, Aerospace Science and Technology, Vol. 85, pp. 359-370, 2019/02/01/, 2019.
148
[149] Y. Xu, W. Hong, H. Bai, C. Li, G. Shi, Strong and ductile poly(vinyl alcohol)/graphene oxide composite films with a layered structure, Carbon, Vol. 47, No. 15, pp. 3538-3543, 2009/12/01/, 2009.
149
[150] X. Bai, C. Wan, Y. Zhang, Y. Zhai, Reinforcement of hydrogenated carboxylated nitrile–butadiene rubber with exfoliated graphene oxide, Carbon, Vol. 49, No. 5, pp. 1608-1613, 2011/04/01/, 2011.
150
[151] T. Jiang, T. Kuila, N. H. Kim, B.-C. Ku, J. H. Lee, Enhanced mechanical properties of silanized silica nanoparticle attached graphene oxide/epoxy composites, Composites Science and Technology, Vol. 79, pp. 115-125, 2013/04/18/, 2013.
151
[152] S. Chuah, Z. Pan, J. G. Sanjayan, C. M. Wang, W. H. Duan, Nano reinforced cement and concrete composites and new perspective from graphene oxide, Construction and Building Materials, Vol. 73, pp. 113-124, 2014/12/30/, 2014.
152
[153] Z. Pan, L. He, L. Qiu, A. H. Korayem, G. Li, J. W. Zhu, F. Collins, D. Li, W. H. Duan, M. C. Wang, Mechanical properties and microstructure of a graphene oxide–cement composite, Cement and Concrete Composites, Vol. 58, pp. 140-147, 2015/04/01/, 2015.
153
[154] Z. Zhang, Y. Li, H. Wu, H. Zhang, H. Wu, S. Jiang, G. Chai, Mechanical analysis of functionally graded graphene oxide-reinforced composite beams based on the first-order shear deformation theory, Mechanics of Advanced Materials and Structures, pp. 1-9, 2018.
154
[155] F. Ebrahimi, M. Nouraei, A. Dabbagh, Thermal vibration analysis of embedded graphene oxide powder-reinforced nanocomposite plates, Engineering with Computers, April 19, 2019.
155
[156] E. Thostenson, W. Li, D. Wang, Z. Ren, T. Chou, Carbon nanotube/carbon fiber hybrid multiscale composites, Journal of Applied physics, Vol. 91, No. 9, pp. 6034-6037, 2002.
156
[157] S. Mareishi, M. Rafiee, X. He, K. Liew, Nonlinear free vibration, postbuckling and nonlinear static deflection of piezoelectric fiber-reinforced laminated composite beams, Composites Part B: Engineering, Vol. 59, pp. 123-132, 2014.
157
[158] M. Rafiee, X. Liu, X. He, S. Kitipornchai, Geometrically nonlinear free vibration of shear deformable piezoelectric carbon nanotube/fiber/polymer multiscale laminated composite plates, Journal of Sound and Vibration, Vol. 333, No. 14, pp. 3236-3251, 2014.
158
[159] X. He, M. Rafiee, S. Mareishi, K. Liew, Large amplitude vibration of fractionally damped viscoelastic CNTs/fiber/polymer multiscale composite beams, Composite Structures, Vol. 131, pp. 1111-1123, 2015.
159
[160] M. Rafiee, F. Nitzsche, M. Labrosse, Rotating nanocomposite thin-walled beams undergoing large deformation, Composite Structures, Vol. 150, pp. 191-199, 2016.
160
[161] F. Ebrahimi, S. Habibi, Nonlinear eccentric low-velocity impact response of a polymer-carbon nanotube-fiber multiscale nanocomposite plate resting on elastic foundations in hygrothermal environments, Mechanics of Advanced Materials and Structures, Vol. 25, No. 5, pp. 425-438, 2018.
161
[162] M. Rafiee, F. Nitzsche, M. R. Labrosse, Modeling and mechanical analysis of multiscale fiber-reinforced graphene composites: Nonlinear bending, thermal post-buckling and large amplitude vibration, International Journal of Non-Linear Mechanics, Vol. 103, pp. 104-112, 2018/07/01/, 2018.
162
[163] M. K. Hassanzadeh-Aghdam, R. Ansari, A. Darvizeh, Micromechanical analysis of carbon nanotube-coated fiber-reinforced hybrid composites, International Journal of Engineering Science, Vol. 130, pp. 215-229, 2018/09/01/, 2018.
163
[164] M.-K. Hassanzadeh-Aghdam, R. Ansari, A. Darvizeh, Multi-stage micromechanical modeling of effective elastic properties of carbon fiber/carbon nanotube-reinforced polymer hybrid composites, Mechanics of Advanced Materials and Structures, pp. 1-15, 2018.
164
[165] X. Shi, M. K. Hassanzadeh-Aghdam, R. Ansari, A comprehensive micromechanical analysis of the thermoelastic properties of polymer nanocomposites containing carbon nanotubes with fully random microstructures, Mechanics of Advanced Materials and Structures, pp. 1-12, 2019.
165
[166] R. Gholami, R. Ansari, Nonlinear bending of third-order shear deformable carbon nanotube/fiber/polymer multiscale laminated composite rectangular plates with different edge supports, The European Physical Journal Plus, Vol. 133, No. 7, pp. 282, 2018.
166
[167] F. Ebrahimi, A. Dabbagh, On thermo-mechanical vibration analysis of multi-scale hybrid composite beams, Journal of Vibration and Control, Vol. 25, No. 4, pp. 933-945, 2019.
167
[168] M. Rafiee, F. Nitzsche, J. Laliberte, S. Hind, F. Robitaille, M. R. Labrosse, Thermal properties of doubly reinforced fiberglass/epoxy composites with graphene nanoplatelets, graphene oxide and reduced-graphene oxide, Composites Part B: Engineering, Vol. 164, pp. 1-9, 2019/05/01/, 2019.
168
[169] A. Dabbagh, A. Rastgoo, F. Ebrahimi, Finite element vibration analysis of multi-scale hybrid nanocomposite beams via a refined beam theory, Thin-Walled Structures, Vol. 140, pp. 304-317, 2019/07/01/, 2019.
169
[170] F. Ebrahimi, A. Dabbagh, Vibration analysis of graphene oxide powder-/carbon fiber-reinforced multi-scale porous nanocomposite beams: A finite-element study, The European Physical Journal Plus, Vol. 134, No. 5, pp. 225, May 24, 2019.
170
[171] M. Karimiasl, F. Ebrahimi, B. Akgöz, Buckling and post-buckling responses of smart doubly curved composite shallow shells embedded in SMA fiber under hygro-thermal loading, Composite Structures, Vol. 223, pp. 110988, 2019/05/16/, 2019.
171
[172] M. Karimiasl, F. Ebrahimi, V. Mahesh, Nonlinear free and forced vibration analysis of multiscale composite doubly curved shell embedded in shape-memory alloy fiber under hygrothermal environment, Journal of Vibration and Control, Vol. 0, No. 0, pp. 1077546319842426, 2019.
172
[173] M. Karimiasl, F. Ebrahimi, M. Vinyas, Nonlinear vibration analysis of multiscale doubly curved piezoelectric composite shell in hygrothermal environment, Journal of Intelligent Material Systems and Structures, Vol. 30, No. 10, pp. 1594-1609, 2019.
173