2019
50
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209
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Elastoplastic solution for thickwalled spherical vessels with an inner FGM layer
https://jcamech.ut.ac.ir/article_63365.html
10.22059/jcamech.2017.239277.173
1
Purely elastic, partially and fully plastic stress states in a thickwalled 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.
0

1
13


Amin
Seyyed Nosrati
School of Mechanical Engineering, College of Engineering, University of Tehran, Tehran, Iran
Iran
a_seyyednosrati@ut.ac.ir


Ali
Parvizi
School of Mechanical Engineering, College of Engineering, University of Tehran, Tehran, Iran
Iran
aliparvizi@ut.ac.ir


Seyed Ali
Afzal
School of Mechanical Engineering, College of Engineering, University of Tehran, Tehran, Iran
Iran
s_aliafzal@ut.ac.ir


Vali
Alimirzaloo
Engineering Department, Urmia University, Urmia, Iran
Iran
v.alimirzaloo@urmia.ac.ir
Thickwalled sphere
Elastoplastic analysis
FG Coating
Pressure
[[1] S. Suresh, A. Mortensen, 1998, Fundamentals of functionally graded materials, The Institut of Materials,##[2] J. Aboudi, M.J. Pindera, S. M. Arnold, Higherorder theory for functionally graded materials, Composites Part B: Engineering, Vol. 30, No. 8, pp. 777832, 1999.##[3] D. Annaratone, 2007, Pressure vessel design, Springer,##[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. 6180, 2003.##[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. 579588, 1998.##[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. 522527, 2005.##[7] L. You, J. Zhang, X. You, Elastic analysis of internally pressurized thickwalled spherical pressure vessels of functionally graded materials, International Journal of Pressure Vessels and Piping, Vol. 82, No. 5, pp. 347354, 2005.##[8] R. Poultangari, M. Jabbari, M. Eslami, Functionally graded hollow spheres under nonaxisymmetric thermomechanical loads, International Journal of Pressure Vessels and Piping, Vol. 85, No. 5, pp. 295305, 2008.##[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. 581587, 2008.##[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. 385390, 2009.##[11] A. Saidi, S. Atashipour, E. Jomehzadeh, Exact elasticity solutions for thickwalled fg spherical pressure vessels with linearly and exponentially varying properties, Int J Eng Trans A, Vol. 22, pp. 405416, 2009.##[12] M. Sadeghian, H. E. Toussi, Axisymmetric yielding of functionally graded spherical vessel under thermomechanical loading, Computational Materials Science, Vol. 50, No. 3, pp. 975981, 2011.##[13] E. Carrera, M. Soave, Use of functionally graded material layers in a twolayered pressure vessel, journal of Pressure vessel Technology, Vol. 133, No. 5, pp. 051202, 2011.##[14] A. Parvizi, R. Naghdabadi, J. Arghavani, Analysis of Al A359/SiCp functionally graded cylinder subjected to internal pressure and temperature gradient with elasticplastic deformation, Journal of Thermal Stresses, Vol. 34, No. 10, pp. 10541070, 2011.##[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. 229242, 2012.##[16] M. Z. Nejad, M. Abedi, M. H. Lotfian, M. Ghannad, An exact solution for stresses and displacements of pressurized FGM thickwalled spherical shells with exponentialvarying properties, Journal of mechanical science and technology, Vol. 26, No. 12, pp. 4081, 2012.##[17] M. S. Boroujerdy, M. Eslami, Thermal buckling of piezoFGM shallow spherical shells, Meccanica, Vol. 48, No. 4, pp. 887899, 2013.##[18] M. Saadatfar, M. AghaieKhafri, 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.##[19] A. Parvizi, S. Alikarami, M. Asgari, Exact solution for thermoelastoplastic behavior of thickwalled functionally graded sphere under combined pressure and temperature gradient loading, Journal of Thermal Stresses, Vol. 39, No. 9, pp. 11521170, 2016.##[20] S. Alikarami, A. Parvizi, Elastoplastic analysis and finite element simulation of thickwalled functionally graded cylinder subjected to combined pressure and thermal loading, Science and Engineering of Composite Materials.##[21] T. Akis, Elastoplastic analysis of functionally graded spherical pressure vessels, Computational Materials Science, Vol. 46, No. 2, pp. 545554, 2009.##[22] S. A. Atashipour, R. Sburlati, S. R. Atashipour, Elastic analysis of thickwalled pressurized spherical vessels coated with functionally graded materials, Meccanica, Vol. 49, No. 12, pp. 29652978, 2014.##[23] A. Loghman, H. Parsa, Exact solution for magnetothermoelastic behaviour of doublewalled cylinder made of an inner FGM and an outer homogeneous layer, International Journal of Mechanical Sciences, Vol. 88, pp. 9399, 2014.##[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.##[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. 1526, 2017.##[26] M. Gharibi, M. Zamani Nejad, A. Hadi, Elastic analysis of functionally graded rotating thick cylindrical pressure vessels with exponentiallyvarying properties using power series method of Frobenius, Journal of Computational Applied Mechanics, Vol. 48, No. 1, pp. 8998, 2017.##[27] R. Ghajar, M. Shokrieh, A. R. Shajari, Transient thermoviscoelastic response of a functionally graded nonaxisymmetric cylinder, Journal of Computational Applied Mechanics, Vol. 46, No. 2, pp. 191204, 2015.##[28] S. Timoshenko, 1934, Theory of Elasticity, McGrawHill,##[29] A. Mendelson, 1968, Plasticity: theory and application, Macmillan,##[30] A. Nayebi, S. A. Sadrabadi, FGM elastoplastic analysis under thermomechanical loading, International Journal of Pressure Vessels and Piping, Vol. 111, pp. 1220, 2013.##]
1

Hydrodynamic investigation of multiple rising bubbles using lattice Boltzmann method
https://jcamech.ut.ac.ir/article_65702.html
10.22059/jcamech.2018.248898.224
1
Hydrodynamics of multiple rising bubbles as a fundamental twophase phenomenon is studied numerically by lattice Boltzmann method and using Lee twophase model. Lee model based on CahnHilliard 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 twophase 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. Twophase 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.
0

14
26


Mohsen
Ghasemi
Department of Mechanical Engineering, Tarbiat Modares University, Tehran, Iran.
Iran
mohsen.ghasemi@modares.ac.ir


Mohammad Reza
Ansari
Department of Mechanical Engineering, Tarbiat Modares University, Tehran, Iran.
Iran
mra_1330@modares.ac.ir


Mohamad Hasan
Rahimian
Department of Mechanical Engineering, University of Tehran, Tehran, Iran
Iran
rahimyan@ut.ac.ir
Multiple rising bubbles
Lattice Boltzmann method
Lee twophase model
[Clift R., Grace J.R., 1978, Weber M.E., Bubbles, drops, and particles, New York: Academic Press.##Bhaga D., Weber M.E., 1981, Bubbles in viscous liquids: shapes, wakes and velocities, J Fluid Mech 105: 6185.##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): 167173.##Watanabe H., Suzuki M., Ito N., 2013, Hugescale molecular dynamics simulation of multibubble nuclei, Computer Physics Communications 184(12): 27752784.##Balcázar N., Lehmkuhl O., Jofre L., Oliva A., 2015, Levelset simulations of buoyancydriven motion of single and multiple bubbles, International Journal of Heat and Fluid Flow 56: 91107.##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): 78197831.##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 Boltzmannimmersed boundary method, Computer methods in Biomechanics and Biomedical engineering 20(7): 737–749.##Hassanzadeh A., Pourmahmoud N., Dadvand A., 2018, Numerical simulation of red blood cell motion and deformation using improved lattice Boltzmannimmersed boundary method", Iran J Sci Technol Trans Mech Eng, (In Press), DOI 10.1007/s4099701701122.##Ghafouri A., Hassanzadeh A., 2017, Numerical study of red blood cell motion and deformation through a michrochannel using lattice Boltzmannimmersed boundary method. Journal of the Brazilian Society of Mechanical Sciences and Engineering, 39(6): 18731882.##10. Dadvand A., 2016, Simulation of the motion of two elastic membranes in Poiseuille shear flow via a combined immersed boundarylattice Boltzmann method. Journal of Computational Science 12: 5161.##11. Dadvand A., 2018, Effects of deformability of RBCs on their dynamics and blood flow passing through a stenosed microvessel: an immersed boundarylattice Boltzmann approach, Theoretical and Computational Fluid Dynamics, 32(1): 91107.##12. Gunstensen K., Rothman D.H., Zaleski S., Zanetti G., 1991, Lattice Boltzmann model of immiscible fluids, Physical Review A 43(8): p. 4320.##13. Grunau D., Chen S., Eggert K., 1993, A lattice Boltzmann model for multiphase fluid flows, Phys. Fluids A 5(10): p. 2557.##14. Shan X., Chen H., 1993, Lattice Boltzmann model for simulating flows with multiple phases and components, Phys. Rev. E 47(3): p. 1815.##15. Shan X., Chen H., 1994, Simulation of nonideal gases and liquid–gas phase transitions by the lattice Boltzmann equation, Phys. Rev. E 49: p. 2941.##16. Shan X., Doolen G.D., 1995, Multicomponent latticeBoltzmann model with interparticle interaction, J. Stat. Phys. 81: 379393.##17. Shan X., Doolen G., 1996, Diffusion in a multicomponent lattice Boltzmann equation model, Phys. Rev. E 54(4): p. 3614.##18. Swift M.R., Osborn W.R., Yeomans J.M., 1995, Lattice Boltzmann simulation of nonideal fluids, Phys. Rev. Lett. 75(5): p. 830.##19. Swift M.R., Orlandini E., Osborn W.R., Yeomans J.M., 1996, Lattice Boltzmann simulation of liquid–gas and binaryfluid system, Phys. Rev. E 54(5): p. 5041.##20. Orlandini E., Swift M.R., Yeomans J.R., 1995, A Lattice Boltzmann Model of BinaryFluid Mixtures, Europhys. Lett. 32 (6): 463468.##21. He X., Shan X., Doolen G.D., 1998, A discrete Boltzmann equation model for nonideal gases, Phys. Rev. E 57(1): p. R13.##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.##23. He X., Zhang R., Chen S., Doolen G.D., 1999, On threedimensional Rayleigh– Taylor instability, Phys. Fluids 11(5): p. 1143.##24. Zhang R., He X., Chen S., 2000, Interface and surface tension in incompressible lattice Boltzmann multiphase model, Comput. Phys. Commun. 129: 121–130.##25. Zhang R., He X., Doolen G., Chen S., 2001, Surface tension effects on twodimensional twophase KelvinHelmholtz instabilities, Advances in Water Resources 24: 461478.##26. Zhang R., 2000, Lattice Boltzmann approach for immiscible multiphase flow, Ph.D. thesis, University of Delaware.##27. Inamuro T., Ogata T., Tajima S., Konishi N., 2004, lattice Boltzmann method for incompressible twophase flows with large density differences, J. Com. Phy.198: 628–644.##28. Lee T., Lin C.L., 2005, A stable discretization of the lattice Boltzmann equation for simulation of in compressible twophase flows at high density ratio, J. Com. Phy. 206: 16–47.##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.##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.##31. Gupta A., Kumar R., 2008, Lattice Boltzmann simulation to study multiple bubble dynamics, International Journal of Heat and Mass Transfer 51(2122): 5192–5203.##32. Cheng M., Hua J., Lou J., 2010, Simulation of bubble–bubble interaction using a lattice Boltzmann method, Computers & Fluids 39: 260–270.##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.##34. Shu S., Yang N., 2013, Direct Numerical Simulation of Bubble Dynamics Using PhaseField Model and Lattice Boltzmann Method, Industrial & Engineering Chemistry Research 52: 11391−11403.##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.##36. Lee T., Liu L., 2008, Wall boundary conditions in the lattice Boltzmann equation method for nonideal gases, Physical Review E 78: No. 017702.##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.##38. Lee T., Liu L., 2010, Lattice Boltzmann simulations of micronscale drop impact on dry surfaces, J. Com. Phy. 229: 80458063.##39. AmayaBower L., Lee T., 2010, Single bubble rising dynamics for moderate Reynolds number using Lattice Boltzmann Method, Computers & Fluids 39: 1191–1207.##40. AmayaBower 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.##41. Taghilou M., Rahimian M.H., 2014, Investigation of twophase flow in porous media using lattice Boltzmann method, Computers and Mathematics with Applications 67: 424–436.##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: 89118.##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): 8998.##44. Farokhirad S., Morris J.F., Lee T., 2015, Coalescenceinduced jumping of droplet: Inertia and viscosity effects, Physics of Fluids 27(10).##45. Fakhari A., Bolster D., 2017, Diffuse interface modeling of threephase contact line dynamics on curved boundaries: A lattice Boltzmann model for large density and viscosity ratios. Journal of Computational Physics 334: 620638.##46. Jain P.K., A. Tentner, Rizwanuddin, 2009, A lattice Boltzmann framework to simulate boiling water reactor core hydrodynamics, Computers and Mathematics with Applications 58: 975986.##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 Boltzmannbased singlephase model, Journal of Colloid and Interface Science 311: 609–618.##]
1

Static and dynamic axial crushing of prismatic thinwalled metal columns
https://jcamech.ut.ac.ir/article_67381.html
10.22059/jcamech.2018.251558.237
1
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 quasistatic 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 elastoplastic 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 analyticnumeric 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 LSDYNA 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.
0

27
40


Ahmad
Malekshahi
Department of Mechanical Engineering, Shahid Chamran University of ahvaz, Ahvaz, Iran
Iran
amalekshahi@phdstu.scu.ac.ir


Kourosh
Heydari Shirazi
Department of Mechanical Engineering, Shahid Chamran University of ahvaz, Ahvaz, Iran
Iran
k.shirazi@scu.ac.ir


Mohammad
Shishesaz
Department of Mechanical Engineering, Shahid Chamran University of ahvaz, Ahvaz, Iran
Iran
mshishehsaz@scu.ac.ir
Progressive Collapse
mean crushing force
axial impact
crushing wavelength
LSDYNA
[[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. 1015, 1960.##[2] T. Wierzbicki, W. Abramowicz, On the crushing mechanics of thinwalled structures, Journal of Applied mechanics, Vol. 50, No. 4a, pp. 727734, 1983.##[3] W. A. N. Jones, W. Abramowicz, Dynamic axial crushing of square tubes, International Journal of Impact Engineering, Vol. 2, pp. 179208, 1984.##[4] W. Abramowicz, T. Wierzbicki, Axial crushing of multicorner sheet metal columns, Journal of Applied Mechanics, Vol. 56, No. 1, pp. 113120, 1989.##[5] M. White, N. Jones, W. Abramowicz, A theoretical analysis for the quasistatic axial crushing of tophat and doublehat thinwalled sections, International Journal of Mechanical Sciences, Vol. 41, No. 2, pp. 209233, 1999.##[6] A. Najafi, M. RaisRohani, Mechanics of axial plastic collapse in multicell, multicorner crush tubes, ThinWalled Structures, Vol. 49, No. 1, pp. 112, 2011.##[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. 1221, 2017.##[8] W. Hong, F. Jin, J. Zhou, Z. Xia, Y. Xu, L. Yang, Q. Zheng, H. Fan, Quasistatic axial compression of triangular steel tubes, ThinWalled Structures, Vol. 62, pp. 1017, 2013.##[9] G. Martínez, C. Graciano, P. Teixeira, Energy absorption of axially crushed expanded metal tubes, ThinWalled Structures, Vol. 71, pp. 134146, 2013.##[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.##[11] X. Zhang, H. Huh, Crushing analysis of polygonal columns and angle elements, International Journal of Impact Engineering, Vol. 37, No. 4, pp. 441451, 2010.##[12] X. Zhang, H. Zhang, Crush resistance of square tubes with various thickness configurations, International Journal of Mechanical Sciences, Vol. 107, pp. 5868, 2016.##[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. 200211, 2013.##[14] S. Liu, Z. Tong, Z. Tang, Y. Liu, Z. Zhang, Bionic design modification of nonconvex multicorner thinwalled columns for improving energy absorption through adding bulkheads, ThinWalled Structures, Vol. 88, pp. 7081, 2015.##[15] Y. Tao, S. Duan, W. Wen, Y. Pei, D. Fang, Enhanced outofplane crushing strength and energy absorption of inplane graded honeycombs, Composites Part B: Engineering, Vol. 118, pp. 3340, 2017.##[16] M. Macaulay, R. Redwood, Small scale model railway coaches under impact, The Engineer, Vol. 218, pp. 10411046, 1964.##[17] A. Pugsley, The crumpling of tubular structures under impact conditions, in Proceeding of, 3341.##[18] A. Coppa, New ways to soften shock, Machine Design, Vol. 28, pp. 130140, 1968.##[19] A. A. Ezra, An assessment of energy absorbing devices for prospective use in aircraft impact situations, in Proceeding of, Pergamon Press, pp.##[20] S. Reid, T. Reddy, Axially loaded metal tubes as impact energy absorbers, in: Inelastic behaviour of plates and shells, Eds., pp. 569595: Springer, 1986.##[21] W. Abramowicz, N. Jones, Dynamic progressive buckling of circular and square tubes, International Journal of Impact Engineering, Vol. 4, No. 4, pp. 243270, 1986.##[22] W. Abramowicz, Thinwalled structures as impact energy absorbers, ThinWalled Structures, Vol. 41, No. 2, pp. 91107, 2003.##[23] J. Fang, Y. Gao, G. Sun, N. Qiu, Q. Li, On design of multicell tubes under axial and oblique impact loads, ThinWalled Structures, Vol. 95, pp. 115126, 2015.##[24] H. Sun, J. Wang, G. Shen, P. Hu, Energy absorption of aluminum alloy thinwalled tubes under axial impact, Journal of Mechanical Science and Technology, Vol. 30, No. 7, pp. 31053111, 2016.##[25] D. Karagiozova, M. Alves, Dynamic elasticplastic buckling of structural elements: a review, Applied Mechanics Reviews, Vol. 61, No. 4, pp. 040803, 2008.##[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. 422435, 2015.##[27] C. Zhou, B. Wang, J. Ma, Z. You, Dynamic axial crushing of origami crash boxes, International journal of mechanical sciences, Vol. 118, pp. 112, 2016.##[28] M. Costas, J. Díaz, L. Romera, S. Hernández, A multiobjective surrogatebased optimization of the crashworthiness of a hybrid impact absorber, International Journal of Mechanical Sciences, Vol. 88, pp. 4654, 2014.##[29] S. Ebrahimi, N. Vahdatazad, Multiobjective optimization and sensitivity analysis of honeycomb sandwich cylindrical columns under axial crushing loads, ThinWalled Structures, Vol. 88, pp. 90104, 2015.##[30] A. Jusuf, T. Dirgantara, L. Gunawan, I. S. Putra, Crashworthiness analysis of multicell prismatic structures, International Journal of Impact Engineering, Vol. 78, pp. 3450, 2015.##[31] A. P. Meran, T. Toprak, A. Muğan, Numerical and experimental study of crashworthiness parameters of honeycomb structures, ThinWalled Structures, Vol. 78, pp. 8794, 2014.##[32] M. Bambach, M. Elchalakani, Plastic mechanism analysis of steel SHS strengthened with CFRP under large axial deformation, Thinwalled structures, Vol. 45, No. 2, pp. 159170, 2007.##[33] A. Farajpour, A. Rastgoo, M. Farajpour, Nonlinear buckling analysis of magnetoelectroelastic CNTMT hybrid nanoshells based on the nonlocal continuum mechanics, Composite Structures, Vol. 180, pp. 179191, 2017.##[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. 126136, 2014.##[35] L. Aktay, A. K. Toksoy, M. Güden, Quasistatic axial crushing of extruded polystyrene foamfilled thinwalled aluminum tubes: experimental and numerical analysis, Materials & design, Vol. 27, No. 7, pp. 556565, 2006.##[36] M. Shishesaz, M. Kharazi, P. Hosseini, M. Hosseini, Buckling Behavior of Composite Plates with a Precentral Circular Delamination Defect under inPlane Uniaxial Compression, Journal of Computational Applied Mechanics, Vol. 48, No. 1, pp. 12, 2017.##[37] B. W. Schafer, The direct strength method of coldformed steel member design, Journal of constructional steel research, Vol. 64, No. 78, pp. 766778, 2008.##[38] B. Schafer, Local, distortional, and Euler buckling of thinwalled columns, Journal of structural engineering, Vol. 128, No. 3, pp. 289299, 2002.##[39] S. P. Timoshenko, Stability of bars, plates, and shells, International Applied Mechanics, Vol. 7, No. 10, pp. 11751176, 1971.##]
1

A preconditioned solver for sharp resolution of multiphase flows at all Mach numbers
https://jcamech.ut.ac.ir/article_68327.html
10.22059/jcamech.2018.254180.246
1
A preconditioned fiveequation twophase 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. HartenLaxvan LeerContact (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 twodimensional 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 lowspeed 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 twophase method can be used as an allspeed twophase flow solver accounting for capillary and viscous stresses.
0

41
53


Pooria
Hadikhani
School of Mechanical Engineering, College of Engineering University of Tehran, Tehran, Iran
Iran
pooria.hadikhani@epfl.ch


Sahand
Majidi
Faculty of Mechanical and Energy Engineering, Shahid Beheshti University, A.C., Tehran, Iran
Iran
s_majidi@sbu.ac.ir


Asghar
Afshari
School of Mechanical Engineering, College of Engineering University of Tehran, Tehran, Iran
Iran
afsharia@ut.ac.ir
Interface capturing
Multiphase flows
Preconditioning
Fiveequation model
Interface sharpening
[[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.##[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. 377383, 2002.##[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. 317356, 2014.##[4] A. Irannejad, F. Jaberi, Numerical study of high speed evaporating sprays, International Journal of Multiphase Flow, Vol. 70, pp. 5876, 2015.##[5] S. Subramaniam, Lagrangian–Eulerian methods for multiphase flows, Progress in Energy and Combustion Science, Vol. 39, No. 2, pp. 215245, 2013.##[6] R. O. 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1

Numerical study of the effect of the tip gap size and using a single circumferential groove on the performance of a multistage compressor
https://jcamech.ut.ac.ir/article_70505.html
10.22059/jcamech.2018.257242.278
1
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 nearstall 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 firststage 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 backflow near the trailing edge of the firststage rotor. Consequently, the stall occurred at a lower mass flow rate.
0

54
62


Morteza
Hamzezade
Faculty of Mechanical Engineering, Malek Ashtar University of Technology, Isfahan, Iran
Iran
hamzezade@mutes.ac.ir


Mohsen
Agha Seyed Mirzabozorg
Faculty of Mechanical Engineering, Malek Ashtar University of Technology, Isfahan, Iran
Iran
mirzabozorg@mutes.ac.ir


Mehrdad
Bazazzadeh
Faculty of Mechanical Engineering, Malek Ashtar University of Technology, Isfahan, Iran
Iran
bazazzadeh@mutes.ac.ir
Circumferential groove
Multistage compressor
Tip gap
Stall margin
CFD
[[1] R. D. Moore, G. Kovich, R. J. Blade, Effect of casing treatment on overall and blade element performance of a compressor rotor, 1971.##[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. V01AT01A059V01AT01A059.##[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,##[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. 145150, 1990.##[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. 501512, 1993.##[6] H. Fujita, H. TAKATA, A study on configurations of casing treatment for axial flow compressors, Bulletin of JSME, Vol. 27, No. 230, pp. 16751681, 1984.##[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. 395404.##[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. V02AT37A002V02AT37A002.##[9] S. Puterbaugh, M. Brendel, Tip clearance flowshock interaction in a transonic compressor rotor, Journal of propulsion and power, Vol. 13, No. 1, pp. 2430, 1997.##[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. V001T01A054V001T01A054.##[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 nearstall condition, in Proceeding of, American Society of Mechanical Engineers, pp. V001T03A112V001T03A112.##[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. 11551165.##[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. 2429, 2008.##[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.##[15] J.P. Chen, M. D. Hathaway, G. P. Herrick, Prestall behavior of a transonic axial compressor stage via timeaccurate numerical simulation, Journal of Turbomachinery, Vol. 130, No. 4, pp. 041014, 2008.##[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. 198205, 2010.##[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. 309318.##[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. 283292, 2013.##[19] R. TaghaviZenouz, 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. 819830, 2013.##[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. 8191, 2013.##[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. 218230, 2012.##[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. 727732.##[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.##[24] X. Zhou, Q. Zhao, X. Xiang, W. 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Hall, 2010, Fluid mechanics and thermodynamics of turbomachinery, ButterworthHeinemann,##[29] J. Dunham, CFD validation for propulsion system components (la validation CFD des organes des propulseurs), ADVISORY GROUP FOR AEROSPACE RESEARCH AND DEVELOPMENT NEUILLYSURSEINE (FRANCE), pp. 1998.##]
1

Axially Forced Vibration Analysis of Cracked a Nanorod
https://jcamech.ut.ac.ir/article_71222.html
10.22059/jcamech.2019.281285.392
1
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 subnanorods and the flexibility of the axial spring represents the effect of the crack. Boundary condition of the nanorod is selected as fixedfree 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.
0

63
68


Şeref
Akbaş
Civil Engineering, Engineering Fac., Bursa Technical University, Bursa,Turkey
Turkey
serefda@yahoo.com
Nanorods
Crack
Nonlocal Elasticity Theory
Forced Vibration Analysis
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Thin Solid Films 520: 65956602.##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.##Tadi Beni Y Jafari A Razavi H (2015), Size Effect on Free Transverse Vibration of Cracked Nanobeams using Couple Stress Theory. International Journal of Engineering 28:296304.##Yaylı MO Çerçevik AE (2015), Axial vibration analysis of cracked nanorods with arbitrary boundary conditions. Journal of Vibroengineering 17:29072921.##Stamenković M Karličić D Goran J and Kozić P (2016), Nonlocal forced vibration of a double singlewalled carbon nanotube system under the influence of an axial magnetic field. Journal of Mechanics of Materials and Structures 11:279307.##Peng XL Li XF. Tang GJ. Shen ZB (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.##Akbaş ŞD (2016), Analytical solutions for static bending of edge cracked micro beams. Structural Engineering and Mechanics, 59: 579599.##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.##Akbaş Ş.D. (2018), Forced vibration analysis of cracked nanobeams. Journal of the Brazilian Society of Mechanical Sciences and Engineering, 40(8), 392.##Akbaş Ş. D. (2018), Forced vibration analysis of cracked functionally graded microbeams. Advances in Nano Research, 6(1), 3955.##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): 13841388.##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.##Sourki R. and Hoseini, S.A.H. (2016), Free vibration analysis of sizedependent cracked microbeam based on the modified couple stress theory. Applied Physics A, 122(4): 413.##Singh K.V. (2009), Transcendental inverse eigenvalue problems in damage parameter estimation. Mechanical Systems and Signal Processing, 23(6): 18701883.##]
1

Vibration suppression analysis for laminated composite beams embedded actuating magnetostrictive layers
https://jcamech.ut.ac.ir/article_70830.html
10.22059/jcamech.2019.279153.384
1
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 simplysupported 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.
0

69
75


Ashraf
Zenkour
Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, SAUDI ARABIA
Saudi Arabia
zenkour@gmail.com


Hela
ElShahrany
Department of Mathematics, Faculty of Science, Kafrelsheikh University, Kafrelsheikh 33516, EGYPT
Saudi Arabia
hela_111_222@hotmail.com
Laminated composite beam
vibration control
magnetostrictive material
shear deformation theory
[Goodfriend M.J, Shoop K.M., 1992, Adaptive characteristics of the magnetostrictive alloy, TerfenolD, for active vibration control, Journal of Intelligent Material Systems and Structures 3: 245254.##Reddy J.N., Barbosa J.I., 2000, On vibration suppression of magnetostrictive beams, Smart Materials and Structures 9: 4958.##Reddy J.N., 1997, Mechanics of Laminated Composite Plates: Theory and Analysis, CRC Press, Boca Raton, FL.##Murty A.V.K., Anjanappa M., Wu YF., Bhattacharya B., Bhat M.S., 1998, Vibration suppression of laminated composite beams using embedded magnetostrictive layers, Institution of Engineers (India) Journal of Aerospace 78: 3844.##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: 111.##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): 487492.##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: 5060.##Subramanian P., 2002, Vibration suppression of symmetric laminated composite beams, Smart Materials and Structures 11(6): 880–885.##Kumar J.S., Ganesan N., Swarnamani S., Padmanabhan C., 2003, Active control of beam with magnetostrictive layer, Computers and Structures 81(13): 13751382.##Ghosh D.P., Gopalakrishnan S., 2005, Coupled analysis of composite laminate with embedded magnetostrictive patches, Smart Materials and Structures 14(6): 14621473.##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): 198206.##Murty A.V.K., Anjanappa M., Wu YF, 1997, The use magnetostrictive particle actuators for vibration attenuation of flexible beams, Journal of Sound and Vibrations 206(2): 133149.##Lee S.J., Reddy J.N., RostamAbadi F., 2004, Transient analysis of laminated composite plates with embedded smartmaterial layers, Finite Elements in Analysis and Design 40(56): 463483.##Snowdon J.N., 1968, Vibration and Shock in Damped Mechanical Systems, Wiley, New York.## RostamAbadi F., Reddy J.N., Lee S.J., 2002, Vibration suppression of crossply laminated plates with magnetostrictive layers, Proceedings of SECTAM XXI.##Reddy J.N., 2002, Energy Principles and Variational Methods in Applied Mechanics, Wiley, New York.##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: 507519.##Pratt J.R., Flatau A.B., 1995, Development and analysis of selfsensing magnetostrictive actuator design Journal of Intelligent Material Systems and Structures 6: 639648.##Anjanappa M., Bi J., 1993, Modelling, design and control of embedded TerfenolD actuator, Smart Structures and Intelligent Systems 1917: 908918.##Anjanappa M., Bi J., 1994, A theoretical and experimental study of magnetostrictive mini actuators, Smart Materials and Structures 1: 8391.##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): 361369.##Reddy J.N., 1999, On laminated composite plates with integrated sensors and actuators, Engineering Structures 21(7): 568593.##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: 415458.##Shankar G., Kumar S.K., Mahato P.K., 2017, Vibration analysis and control of smart composite plates with delamination and under hygrothermal environment, ThinWalled Structures 116: 5368.##Arani A.G., Maraghi Z.K., Arani H.K., 2017, Vibration control of magnetostrictive plate under multiphysical loads via trigonometric higher order shear deformation theory, Journal of Vibration and Control 23(19): 30573070.##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): 316327.##Zenkour A.M., 2015, Thermal bending of layered composite plates resting on foundations using fourunknown shear and normal deformations theory, Composite Structures 122: 260270.##Li J., Narita Y., 2013, Vibration suppression for laminated composite plates with arbitrary boundary conditions, Mechanics of Composite Materials 49(5): 519530.##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): 97103.##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): 491506.##Touratier M., 1991, An efficient standard plate theory, International Journal of Engineering Science 29(8): 901916.##Zenkour A.M., 2013, Bending analysis of functionally graded sandwich plates using a simple fourunknown shear and normal deformations theory, Journal of Sandwich Structures and Materials 15(6): 629656.##Zenkour A.M., 2013, A simple fourunknown refined theory for bending analysis of functionally graded plates, Applied Mathematical Modelling 37(2021): 90419051.##Zenkour A.M., 2013, Bending of FGM plates by a simplified fourunknown shear and normal deformations theory, International Journal of Applied Mechanics 5(2): 1350020, 115.##Al Khateeb S.A., Zenkour A.M., 2014, A refined fourunknown plate theory for advanced plates resting on elastic foundations in hygrothermal environment, Composite Structures 111(1): 240248.##Zenkour A.M., 2015, A simplified fourunknown shear and normal deformations theory for bidirectional laminated plates, Sādhanā 40(1): 215234.##Bouazza M., Zenkour A.M., N. Benseddiq, 2018, Closedfrom solutions for thermal buckling analyses of advanced nanoplates according to a hyperbolic fourvariable refined theory with smallscale effects, Acta Mechanica 229(5): 22512265.##Farajpour A., Yazdi M.R.H., Rastgoo A., Loghmani M., Mohammadi M., 2016, Nonlocal nonlinear plate model for large amplitude vibration of magnetoelectroelastic nanoplates, Composite Structures 140: 323336.##]
1

Dynamics, Stability Analysis and Control of a MammalLike Octopod Robot Driven by Different Central Pattern Generators
https://jcamech.ut.ac.ir/article_70560.html
10.22059/jcamech.2019.278583.375
1
In this paper, we studied numerically both kinematic and dynamic models of a biologically inspired mammallike 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.
0

76
89


Dariusz
Grzelczyk
Department of Automation, Biomechanics and Mechatronics, Lodz University of Technology, 1/15 Stefanowski Street, Lodz, Poland
Poland
dariusz.grzelczyk@p.lodz.pl


Jan
Awrejcewicz
Department of Automation, Biomechanics and Mechatronics, Lodz University of Technology, 1/15 Stefanowski Street, Lodz, Poland
Poland
jan.awrejcewicz@p.lodz.pl
Octopod
Robot gait
Legged motion
Robot stability
Robot control
[[1] F. Tedeschi, G. Carbone, Design of a novel legwheel hexapod walking robot, Robotics, Vol. 6, No. 4, pp. 40, 2017.##[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. 110, 2018.##[3] X. Chen, L. Wang, X. Ye, G. Wang, H. Wang, Prototype development and gait planning of biologically inspired multilegged crablike robot, Mechatronics, Vol. 23, No. 4, pp. 429444, 2013.##[4] G. Chen, B. Jin, Y. Chen, Tripod gaitbased turning gait of a sixlegged walking robot, Journal of Mechanical Science and Technology, Vol. 31, No. 3, pp. 14011411, 2017.##[5] D. Grzelczyk, J. Awrejcewicz, Modeling and control of an eightlegged walking robot driven by different gait generators, International Journal of Structural Stability and Dynamics, Vol. 19, No. 5, pp. 19410091  194100923, 2019.##[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. 400417, 2019.##[7] A. Mahapatra, S.S. Roy, Computer aided dynamic simulation of sixlegged robot, International Journal of Recent Trends in Engineering, Vol. 2, No. 2, pp. 146151, 2009.##[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. 11711177, 2012.##[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. 34, pp. 255270, 2012.##[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, 29692974.##[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. 577584, 2009.##[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. 34, pp. 663688, 2014.##[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. 498503, 2008.##[14] M. Vukobratovic, B. Borovac, ZeroMoment point – thirty five years of its live, International Journal of Humanoid Robotics, Vol. 1, No. 1, pp. 157173, 2004.##[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, 9095.##[16] A.D. Kuo, The relative roles of feedforward and feedback in the control of rhythmic movements, Motor Control, Vol. 6, No. 2, pp. 129145, 2002.##[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, 2024 July 2003, 2: 983988 (10.1109/IJCNN.2003.1223824), 2003.##[18] S.L. Hooper, Central pattern generators, Current Biology, Vol. 10, No. 5, pp. R176R179, 2000.##[19] S. Rossignol, Locomotion and its recovery after spinal injury, Current Opinion in Neurobiology, Vol. 10, No. 6, pp. 708716, 2000.##[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. 645664, 2006.##[21] A.C. de Pina Filho, M.S. Dutra, Application of hybrid van der PolRayleigh 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 9788585769437, 209221, 2009.##[22] V.A. Makarov, W. Ebeling, M.G. Velarde, Solitonlike waves on dissipative toda lattice, International Journal of Bifurcation and Chaos, Vol. 10, No. 5, pp. 10751089, 2000.##[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. 24292439, 2013.##[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. 1314, pp. 26352643, 2016.##[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/RASEMBS International Conference on Biomedical Robotics and Biomechatronics, 1922 October 2008, Scottsdale, AZ, USA, 710715, 2008.##[26] K. Seo, SJ. Chung, JJ.E. Slotine, CPGbased control of a turtlelike underwater vehicle, Autonomous Robots, Vol. 28, No. 3, pp. 247269, 2010.##[27] B. Zhong, S. Zhang, M. Xu, Y. Zhou, T. Fang, W. Li, On a CPGbased hexapod robot: amphiHexII with variable stiffness legs, IEEE/ASME Transactions on Mechatronics, Vol. 23, No. 2, pp. 542551, 2018.##[28] Y. Zhu, Y. Wu, Q. Liu, T. Guo, R. Qin, J. Hui, A backward control based on σHopf oscillator with decoupled parameters for smooth locomotion of bioinspired legged robot, Robotics and Autonomous Systems, Vol. 106, pp. 165178, 2018.##[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 2530, 2005, Ilmenau, Germany, 4 pages, 2005.##[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, 36 April 2006, Bristol, England, 197202, 2006.##[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, 1719 June 2009, Guilin, China, 36773682, 2009.##[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 611, 2008, 767772..##[33] M. Piątek, A. Turnau, Hexapod  sixlegged walking robot controlled with TodaRayleigh lattice, BioAlgorithms and MedSystems, Vol. 8, No. 1, pp. 111121, 2012.##[34] J. Nishii, Legged insects select the optimal locomotor pattern based on the energetic cost, Biological Cybernetics, Vol. 83, No. 5, pp. 435442, 2000.##]
1

Nonlocal thermoelastic semiinfinite medium with variable thermal conductivity due to a laser shortpulse
https://jcamech.ut.ac.ir/article_70477.html
10.22059/jcamech.2019.276608.366
1
In this article, the thermoelastic interactions in an isotropic and homogeneous semiinfinite medium with variable thermal conductivity caused by an ultrashort 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 ultrashort 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, lowtemperature physicists, new materials designers, as well as to those who are working on the development of the theory of nonlocal thermoelasticity.
0

90
98


Ashraf
Zenkour
Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, EGYPT
Saudi Arabia
zenkour@gmail.com


Ahmed
Abouelregal
Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, SAUDI ARABIA
Egypt
ahabogal@gmail.com
Nonlocal thermoselasticity
semiinfinite medium
ultrashort pulse laser
[Wang X., Xu X., 2001, Thermoelastic wave induced by pulsed laser heating, Applied Physics A 73: 107114.##Tzou D.Y., 1996, Macro to Microscale Heat TransferThe Lagging Behavior, Taylor and Francis, Washington.##Wang, X., Xu X., 2002, Thermoelastic wave in metal induced by ultrafast laser pulses, Journal of Thermal Stresses 25: 457473.##Scruby C.B., Drain L.E., 1990, Laser Ultrasonics Techniques and Applications, Adam Hilger, Bristol, UK.##Qiu T.Q., Tien C.L., 1993, Heat transfer mechanisms during shortpulse laser heating of metals, ASME Journal of Heat Transfer 115: 835841.##Miao L., and Massoudi M., 2015, Heat transfer analysis and flow of a slagtype fluid: Effects of variable thermal conductivity and viscosity, International Journal of Nonlinear Mechanics 76: 819.##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: 200206.##Abouelregal A.E., 2011, Fractional order generalized thermopiezoelectric semiinfinite medium with temperaturedependent properties subjected to a ramptype heating, Journal of Thermal Stresses 11: 11391155.##Li C.L., Guo H.L., Tian X., Tian X.G., 2017, Transient response for a halfspace with variable thermal conductivity and diffusivity under thermal and chemical shock, Journal of Thermal Stresses 40: 389–401.##Zenkour A.M., Abouelregal A.E., 2015, Nonlocal thermoelastic nanobeam subjected to a sinusoidal pulse heating and temperaturedependent physical properties, Microsystem Technologies 21: 17671776.##Zenkour A.M., Abouelregal A.E., Alnefaie K.A., AbuHamdeh N.H., 2017, Seebeck effect on a magnetothermoelastic long solid cylinder with temperaturedependent thermal conductivity, European Journal of Pure and Applied Mathematics 10(4): 786808.##A. M. Zenkour, A. E. Abouelregal, 2015, Effects of phaselags in a thermoviscoelastic orthotropic continuum with a cylindrical hole and variable thermal conductivity, Archive of Mechanics 67(6): 457475.##Dogonchi A.S., Ganji D.D., 2016, Convectionradiation heat transfer study of moving fin with temperaturedependent thermal conductivity, heat transfer and heat generation, Applied Thermal Engineering 103: 705712.##Nowacki W., 1974, Dynamical problems of thermodiffusion in elastic solids, Proc. Vib. Probl. 15: 105128.##Zenkour A.M., 2016, Effects of phaselags and variable thermal conductivity in a thermoviscoelastic solid with a cylindrical cavity, Honam Mathematical Journal 38(3): 435454.##Zenkour A.M., 2016, Effect of a temperaturedependent thermal conductivity on a fixed unbounded solid with a cylindrical cavity, U.P.B. Sci. Bull., Series A 78(4): 231242.##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): 201209.##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): 481498.##Abouelregal A.E., Zenkour A.M., 2018, Nonlocal thermoelastic model for temperaturedependent thermal conductivity nanobeams due to dynamic varying loads, Microsystem Technologies 24(2): 11891199.##Eringen A.C., 1972, Nonlocal polar elastic continua, International Journal of Engineering Science 10: 116.##Eringen A.C., Edelen, D.G.B., 1972, On nonlocal elasticity, International Journal of Engineering Science 10: 233248.##Eringen A.C., 1983, On differential equations of nonlocal elasticity and solutions of screw dislocation and surface waves, J. Appl. Phys. 54: 47034710.##Inan E., Eringen A.C., 1991, Nonlocal theory of wave propagation in thermoelastic plates, International Journal of Engineering Science 29, 831843.##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): 36653678.##Zenkour A.M., Abouelregal A.E., 2014, Vibration of FG nanobeams induced by sinusoidal pulseheating via a nonlocal thermoelastic model, Acta Mechanica 225(12): 34093421.##Zenkour A.M., Abouelregal A.E., 2016, Nonlinear effects of thermosensitive nanobeams via a nonlocal thermoelasticity model with relaxation time, Microsystem Technologies 22(10): 24072415.##Zenkour A.M., Abouelregal A.E., Alnefaie K.A., AbuHamdeh 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): 29212931.##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): 12331242.##Nejad M.Z., Hadi A., Rastgoo A., 2016, Buckling analysis of arbitrary twodirectional functionally graded EulerBernoulli nanobeams based on nonlocal elasticity theory, International Journal of Engineering Science 103: 110.##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, 2335, 2015.##Zamani N.M., Hadi A., 2016, Nonlocal analysis of free vibration of bidirectional functionally graded EulerBernoulli nanobeams, International Journal of Engineering Science 105: 111.##Nejad M.Z., Hadi A., 2016, Eringen's nonlocal elasticity theory for bending analysis of bidirectional functionally graded EulerBernoulli nanobeams, International Journal of Engineering Science 106: 19.##Lord H.W., Shulman Y., 1967, A generalized dynamical theory of thermoelasticity, Journal of Mechanics and Physics of Solids 15: 299309.##Green A.E., Lindsay K.A., 1972, Thermoelasticity, Journal of Elasticity 2: 17.##Nowacki W., 1975, Dynamic Problems of Thermoelasticity, Noordhoff, Leyden, The Netherlands.##Noda N., Hetnarski, R.B., 1986, Thermal stresses in materials with temperaturedependent properties, thermal stresses I, NorthHolland, Amsterdam.##Barletta A., Pulvirenti B., 1998, Hyperbolic thermal waves in a solid cylinder with a nonstationary boundary heat flux, International Journal of Heat and Mass Transfer 41: 107116.##Honig G., Hirdes U., 1984, A method for the numerical inversion of Laplace transforms, Journal of Computational and Applied Mathematics 10(1): 113132.##Sherief H.H., Hamza F.A., 2016, Modeling of variable thermal conductivity in a generalized thermoelastic infinitely long hollow cylinder, Meccanica 51: 551558.##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): 682692.##Arias I., Achenbach J.D., 2003, Thermoelastic generation of ultrasound by linefocused laser irradiation, International Journal of Solids and Structures 40: 69176935.##McDonald, F.A., 1990, On the precursor in lasergenerated ultrasound waveforms in metals, Applied Physics Letters 56(3): 230232.##Qi HT., Xua HY., Guo XW., 2013, The Cattaneotype time fractional heat conduction equation for laser heating, Computers and Mathematics with Applications 66: 824831.##Li Y., Li L., Wei P., Wang C., 2018, Reflection and refraction of thermoelastic waves at an interface of two couplestress solids based on LordShulman thermoelastic theory, Applied Mathematical Modelling 55: 536550.##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: 14151424.##]
1

Microcantilevered MEMS Biosensor for Detection of Malaria Protozoan Parasites
https://jcamech.ut.ac.ir/article_69964.html
10.22059/jcamech.2019.276035.362
1
In this paper, the presented work aims to provide a designed model based on Finite element method for detection of Malaria protozoan parasites. Microcantilevers are next generation highly efficient biosensors for detection and prevention of any disease. Here, an Eshaped 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.
0

99
107


Kurmendra
.
Department of Electronics & Communication Engineering, Rajiv Gandhi University (A Central University), Itanagar, India
India
kurmendra.nits@gmail.com


Jagdeep
Rahul
Department of Electronics & Communication Engineering, Rajiv Gandhi University (A Central University), Itanagar, India
India
jagdeeprahul11@gmail.com


Rajesh
Kumar
Department of Electronics & Communication Engineering, NERIST, Nirjuli, India
India
itsrk2006@gmail.com
Biosensors
Malaria
MEMS
Microcantilever
Sensitivity
[[1]. Rebeiz, G. M.,2003, RF MEMS, Theory Design and Technology. Hoboken, New Jersey: Wiley.##[2]. Kurmendra, Kumar R., 2019, MEMS based cantilever biosensors for cancer detection using potential biomarkers present in VOCs: a survey, Microsyst Technol. https://doi.org/10.1007/s00542019043261##[3]. World Malaria Report (2016) , ISBN: 978 92 4 151171 1, https://www.who.int/malaria/publications/worldmalariareport2016/report/en/##[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/s4187001700356##[5]. Alper Sisman, Etki Gur, Sencer Ozturk, Burak Enez, Bilal Okur, Onur Toker, 2017, A Lowcost Biomarkerbased SAWBiosensor Design for Early Detection of Prostate Cancer, Procedia Technology, Volume 27, Pages 248249, ISSN 22120173, https://doi.org/10.1016/j.protcy.2017.04.106.##[6]. Keith E. Herold, Avraham Rasooly, 2012, Biosensors and Molecular Technologies for Cancer Diagnostics, CRC Press.##[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##[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, 18161819, vol.2, doi: 10.1109/SENSOR.2005.1497447##[9]. Osor Pertin, Kurmendra, 2018, Pullinvoltage and RF analysis of MEMS based high performance capacitive shunt switch, Microelectronics Journal,Volume 77, 515, 00262692 doi: https://doi.org/10.1016/j.mejo.2018.05.001##[10].Lin F., RaisZadeh M., 2016, Tunable RF MEMS Filters: A Review. In: Bhushan B. (eds) Encyclopedia of Nanotechnology. Springer, Dordrecht ##[11].Abdolvand, R.; Bahreyni, B.; Lee, J.E.Y.; Nabki, F., 2016, Micromachined Resonators: A Review. Micromachines , 7, 160. ##[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.##[13].M. A. Saeed, S. M. Khan, N. Ahmed, M. U. Khan and A. Rehman, 2016, Design and analysis of capacitancebased BioMEMS cantilever sensor for tuberculosis detection, International Conference on Intelligent Systems Engineering (ICISE), Islamabad, pp. 175180. doi: 10.1109/INTELSE.2016.7475116 ##[14].M.G.G. Jithendra Prasad, Syed Shameem, 2016, Design and Analysis of MicroCantilever Based Biosensor for Swine Flu Detection, International Journal of Electrical and Computer Engineering (IJECE), Vol. 6, No. 3, pp. 1190 ~ 1196 : 20888708, DOI: 10.11591/ijece.v6i3.9446##[15].Stoney, G. G., 1909, The Tension of Metallic Films Deposited by Electrolysis, Proc. R. Soc. London, Ser. A, 82, pp. 172–175.##[16].https://www.doitpoms.ac.uk/tlplib/beam_bending/bend_moments.php##[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), 3242##[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), 2327.##[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: Lowdimensional Systems and Nanostructures 43 (10), 18201825##[20].A Farajpour, MRH Yazdi, A Rastgoo, M Mohammadi, 2016, A higherorder nonlocal strain gradient plate model for buckling of orthotropic nanoplates in thermal environment, Acta Mechanica 227 (7), 18491867.##[21].A Farajpour, MRH Yazdi, A Rastgoo, M Loghmani, M Mohammadi, 2016, Nonlocal nonlinear plate model for large amplitude vibration of magnetoelectroelastic nanoplates, Composite Structures 140, 323336##[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, 629637##[23].A Farajpour, M Danesh, M Mohammadi, 2011, Buckling analysis of variable thickness nanoplates using nonlocal continuum mechanics, Physica E: Lowdimensional Systems and Nanostructures 44 (3), 719727##[24].SR Asemi, A Farajpour, M Mohammadi, 2014, Nonlinear vibration analysis of piezoelectric nanoelectromechanical resonators based on nonlocal elasticity theory, Composite Structures 116, 703712##[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: Lowdimensional Systems and Nanostructures 44 (1), 135140##[26].M Mohammadi, M Goodarzi, M Ghayour, A Farajpour, 2013, Influence of inplane preload on the vibration frequency of circular graphene sheet via nonlocal continuum theory, Composites Part B: Engineering 51, 121129##[27].MR Farajpour, A Rastgoo, A Farajpour, M Mohammadi, 2016, Vibration of piezoelectric nanofilmbased electromechanical sensors via higherorder nonlocal strain gradient theory, Micro & Nano Letters 11 (6), 302307##[28].A Farajpour, A Rastgoo, M Mohammadi, 2014, Surface effects on the mechanical characteristics of microtubule networks in living cells, Mechanics Research Communications 57, 1826##[29].M Mohammadi, M Safarabadi, A Rastgoo, A Farajpour, 2016, Hygromechanical vibration analysis of a rotating viscoelastic nanobeam embedded in a viscoPasternak elastic medium and in a nonlinear thermal environment, Acta Mechanica 227 (8), 22072232##[30].M Goodarzi, M Mohammadi, A Farajpour, M Khooran, 2014, Investigation of the effect of prestressed on vibration frequency of rectangular nanoplate based on a viscoPasternak foundation, JOURNAL OF SOLID MECHANICS 6 (1), 98121##[31].SR Asemi, M Mohammadi, A Farajpour, 2014, A study on the nonlinear stability of orthotropic singlelayered graphene sheet based on nonlocal elasticity theory, Latin American Journal of Solids and Structures 11 (9), 15151540##[32].M Mohammadi, A Farajpour, M Goodarzi, H Mohammadi, 2013, Temperature effect on vibration analysis of annular graphene sheet embedded on viscoPasternak foundation, Journal of Solid Mechanics 5 (3), 305323##[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), 299311##[34].M Goodarzi, M Mohammadi, M Khooran, F Saadi,2016, Thermomechanical vibration analysis of FG circular and annular nanoplate based on the viscopasternak foundation, Journal of Solid Mechanics Vol 8 (4), 788805##[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), 4756##[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##[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 131143. DOI: 10.12989/sem.2019.69.2.131##[38].Kurmendra, R. Kumar, 2019, Design and Simulation of MEMS shunt capacitive switch for lower switching time, Special Issue (2019): 3C TECHNOLOGY  EDITION 282. DOI: 10.17993/3ctecno.2019.specialissue.15##[39].Kurmendra, Kumar R., Pertin O. , 2019, Design of An Improved MicroElectroMechanicalSystems 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/10.1007/9789811326851_1##[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. 14.##doi: 10.1109/UPCON.2018.8596823##]
1

Design, Evaluation and Prototyping of a New Robotic Mechanism for Ultrasound Imaging
https://jcamech.ut.ac.ir/article_70504.html
10.22059/jcamech.2018.257439.282
1
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.
0

108
117


Alireza
AbbasiMoshaii
Department of Mechanical Engineering, Tarbiat Modares University, Tehran, Iran
Iran
al.abbasi@ut.ac.ir


Farshid
Najafi
Department of Mechanical Engineering, University of Tehran, Tehran, Iran
Iran
farshid_najafi@ut.ac.ir
Center of motion
Sonography
Robotic mechanism
Ultrasound imaging
[[1] D. R. Swerdlow, K. Cleary, E. Wilson, B. AziziKoutenaei, R. Monfaredi, Robotic Arm–Assisted Sonography: Review of Technical Developments and Potential Clinical Applications, American Journal of Roentgenology, Vol. 208, No. 4, pp. 733738, 2017.##[2] F. Najafi, N. Sepehri, A novel handcontroller for remote ultrasound imaging, Mechatronics, Vol. 18, No. 10, pp. 578590, 2008.##[3] A. Abbasi Moshaii, F. Najafi, A review of robotic mechanisms for ultrasound examinations, Industrial Robot: An International Journal, Vol. 41, No. 4, pp. 373380, 2014.##[4] M. Moeinzadeh, S. Davaria, F. Najafi, M. HaghighiYazdi, Design and Fabrication of a Portable 1DOF Robotic Device for Indentation Tests, Journal of comptational applied mechanics, Vol. 48, No. 2, pp. 171184, 2017.##[5] C. Delgorge, F. Courrèges, L. A. Bassit, C. Novales, C. Rosenberger, N. SmithGuerin, C. Brù, R. Gilabert, M. Vannoni, G. Poisson, A teleoperated mobile ultrasound scanner using a lightweight robot, IEEE Transactions on Information Technology in Biomedicine, Vol. 9, No. 1, pp. 5058, 2005.##[6] J. W. Sublett, B. J. Dempsey, A. C. Weaver, Design and implementation of a digital teleultrasound system for realtime remote diagnosis, In ComputerBased Medical Systems, 1995., Proceedings of the Eighth IEEE Symposium on, pp. 292298. IEEE, 1995.##[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. 959964. IEEE, 1998..##[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. 2738, 2017.##[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. 195202: Springer, 2000.##[10] K. Masuda, E. Kimura, N. Tateishi, K. Ishihara, Three dimensional motion mechanism of ultrasound probe and its application for teleechography system, In Intelligent Robots and Systems, 2001. Proceedings. 2001 IEEE/RSJ International Conference on, vol. 2, pp. 11121116. IEEE, 2001.##[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. 15671574. IEEE, 2001.##[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. 619628, 2005.##[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. 205220, 2015.##[14] A. Vilchis, J. Troccaz, P. Cinquin, K. Masuda, F. Pellissier, A new robot architecture for teleechography, IEEE Transactions on Robotics and Automation, Vol. 19, No. 5, pp. 922926, 2003.##[15] S. Lessard, I. Bonev, P. Bigras, L.G. Durand, G. Soulez, G. Cloutier, J. A. De Guise, Parallel robot for medical 3Dultrasound imaging, In Industrial Electronics, 2006 IEEE International Symposium on, vol. 4, pp. 31023107. IEEE, 2006.##[16] J. AvilaVilchis, A. GarciaTorres, TERMI robot, In Electronics, Robotics and Automotive Mechanics Conference, 2007. CERMA 2007, pp. 464469. IEEE, 2007.##[17] F. Najafi, N. Sepehri, A robotic wrist for remote ultrasound imaging, Mechanism and machine theory, Vol. 46, No. 8, pp. 11531170, 2011.##[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. 367372. IEEE, 2010.##[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. 47944799. IEEE, 2010.##[20] R. Monfaredi, E. Wilson, B. Azizi koutenaei, B. Labrecque, k. Leroy, J. Goldie, E. Louis, D. Swerdlow, K. Cleary, Robotassisted ultrasound imaging: overview and development of a parallel telerobotic system, Minimally Invasive Therapy & Allied Technologies, Vol. 24, No. 1, pp. 5462, 2015.##[21] A. Krupa, D. Folio, C. Novales, P. Vieyres, T. Li, Robotized teleechography: an assisting visibility tool to support expert diagnostic, IEEE Systems Journal, Vol. 10, No. 3, pp. 974983, 2016.##[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. 45194522. IEEE, 2011.##[23] P. M. Loschak, Y. Tenzer, A. Degirmenci, R. D. Howe, A 4DOF robot for positioning ultrasound imaging catheters, in Proceeding of, American Society of Mechanical Engineers, pp. V05AT08A046V05AT08A046, 2015.##[24] H. Ren, X. Gu, K. L. Tan, Humancompliant bodyattached soft robots towards automatic cooperative ultrasound imaging, in Proceeding of, IEEE, pp. 653658, 2016.## [25] L. Lindenroth, A. Soor, J. Hutchinson, A. Shafi, J. Back, K. Rhode, H. Liu, Design of a soft, parallel endeffector applied to robotguided ultrasound interventions, in Proceeding of, IEEE, pp. 37163721, 2017.##[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. 469474, 2017.##]
1

Rotating magnetothermoelastic rod with finite length due to moving heat sources via Eringen’s nonlocal model
https://jcamech.ut.ac.ir/article_69970.html
10.22059/jcamech.2019.275893.360
1
The article is concerned with a new nonlocal model based on Eringen’s nonlocal elasticity and generalized thermoelasticity. A study is made of the magnetothermoelastic 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, lowtemperature physicists, new materials designers, as well as to those who are working on the development of the theory of nonlocal thermoelasticity.
0

118
126


Ahmed
Abouelregal
Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt
Egypt
ahabogal@gmail.com
Nonlocal thermoelasticity
finite rod
moving heat source
rotation
magnetic field
[[1] Sparagen W., Claussen G.E., 1937, Temperature distribution during welding, The Welding Journal 16: 410.##[2] Knopoff L., 1955, The interaction between elastic wave motion and a magnetic field in electrical conductors, Journal of Geophysical Research 60: 441456.##[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: 112.##[4] Chadwick P., 1957, Elastic wave propagation in a magnetic field, in Proceedings of the International Congress of Applied Mechanics, Brussels, Belgium 7: 143153.##[5] Nayfeh A.H., S. NematNasser, 1972, Electromagnetothermoelastic plane waves in solids with thermal relaxation, Journal of Applied Mechanics, Transactions ASME 39(1): 108113.##[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); 26312638.##[7] Abouelregal A.E., AboDahab S.M., 2012, Dual phase lag model on magnetothermoelasticity infinite nonhomogeneous solid having a spherical cavity, Journal of Thermal Stresses 35(9): 820841.##[8] Abouelregal A.E., AboDahab S.M., 2014, Dualphaselag diffusion model for Thomson’s phenomenon on electromagnetothermoelastic an infinitely long solid cylinder, Journal of Computational and Theoretical Nanoscience 11(4) 10311039.##[9] Zenkour A.M., Abouelregal A.E., 2016, Nonsimple magnetothermoelastic solid cylinder with variable thermal conductivity due to harmonically varying heat, Earthquakes and Structures 10(3): 681697.Eringen, A.C., 1972, Nonlocal polar elastic continua, International Journal of Engineering Science 10: 116.##[10] Eringen A.C., Edelen, D.G.B., 1972, On nonlocal elasticity, International Journal of Engineering Science 10: 233248.##[11] Eringen A.C., 1983, On differential equations of nonlocal elasticity and solutions of screw dislocation and surface waves, Journal of Applied Physics 54: 47034710.##[12] Inan E., Eringen A.C., 1991, Nonlocal theory of wave propagation in thermoelastic plates, International Journal of Engineering Science 29: 831843.##[13] Wang J., Dhaliwal, R.S., 1993, Uniqueness in generalized nonlocal thermoelasticity, Journal of Thermal Stresses 16: 7177.##[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: 36653678.##[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: 222238.##[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/jmmm20160159.##[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: 025042.##[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: 12331242.##[19] Khisaeva Z., OstojaStarzewski M., 2006, Thermoelastic damping in nanomechanical resonators with finite wave speeds", Journal of Thermal Stresses 29(3): 201216.##[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): 937948.##[21] Afzali, J., Alemipour Z. and Hesam, M., 2013, High resolution image with multiwall carbon nanotube atomic force microscopy tip, International Journal of Engineering Science 26(6): 671676.##[22] Abouelregal A.E., Zenkour A.M., 2018, Nonlocal thermoelastic model for temperaturedependent thermal conductivity nanobeams due to dynamic varying loads, Microsystem Technologies 24(2): 11891199.##[23] Zenkour A.M., Abouelregal A.E., 2016, Nonlinear effects of thermosensitive nanobeams via a nonlocal thermoelasticity model with relaxation time, Microsystem Technologies 22(10): 24072415.##[24] Ribeiro P., 2016, Nonlocal effects on the nonlinear modes of vibration of carbon nanotubes under electrostatic actuation, International Journal of NonLinear Mechanics 87: 1–20.##[25] Zenkour A.M., Abouelregal A.E., 2015, Nonlocal thermoelastic nanobeam subjected to a sinusoidal pulse heating and temperaturedependent physical properties, Microsystem Technologies 21(8): 17671776.##[26] Lord H.W., Shulman Y., 1967, A generalized dynamical theory of thermoelasticity, Journal of Mech. Phys. Solid 15: 299309.##[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): 3242.##[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): 2327.##[29] Farajpour A., Yazdi M.R.H., Rastgoo A., Loghmani M., Mohammadi M., 2016, Nonlocal nonlinear plate model for large amplitude vibration of magnetoelectroelastic nanoplates, Composite Structures 140: 323336.##[30] Mohammadi M., Safarabadi M., Rastgoo A., Farajpour A., 2016, Hygromechanical vibration analysis of a rotating viscoelastic nanobeam embedded in a viscoPasternak elastic medium and in a nonlinear thermal environment, Acta Mechanica, 227(8): 22072232.##[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: 629637.##[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: Lowdimensional Systems and Nanostructures 44(1): 135140.##[33] Goodarzi M., Mohammadi M., Farajpour A., Khooran M., 2014, Investigation of the effect of prestressed on vibration frequency of rectangular nanoplate based on a viscoPasternak foundation, Journal of Solid Mechanics 6(1): 98121.##[34] Asemi S.R., Mohammadi M., Farajpour A., 2014, Study on the nonlinear stability of orthotropic singlelayered graphene sheet based on nonlocal elasticity theory, Latin American Journal of Solids and Structures 11(9): 15151540.##[35] Mohammadi M., Farajpour A., Goodarzi M., Mohammadi H., 2013, Temperature effect on vibration analysis of annular graphene sheet embedded on viscoPasternak foundation, Journal of Solid Mechanics 5(3): 305323.##[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 inplane preload via nonlocal elasticity theory, Journal of Solid Mechanics 4(2): 128143.##[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: 510520.##[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: 878889.##[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): 481498.##[40] Schoenberg M. Censor D., 1973, Elastic waves in rotating media, Quarterly of Applied Mathematics 31: 115125.##[41] Abouelregal A.E., AboDahab S.M., 2018, A twodimensional problem of a modeI crack in a rotating fibrereinforced isotropic thermoelastic medium under dualphaselag model, Sådhanå 43:13, https://doi.org/10.1007/s1204601707697.##[42] Roychoudhuri S.K., Mukhopadhyay S., 2000, Effect of rotation and relaxation times on plane waves in generalized thermoviscoelasticity; International Journal of Mathematics and Mathematical Sciences 23: 497505.##[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(78), 17101720.##[44] Honig G., and Hirdes U., 1984, A method for the numerical inversion of Laplace transforms, Journal of Computational and Applied Mathematics 10(1): 113132.##[45] Bayones F.S., AbdAlla A.M., 2018, Eigenvalue approach to coupled thermoelasticity in a rotating isotropic medium, Results in Physics 8: 715.##]
1

Numerical Simulation of the Effect of Valve Opening and Particle Concentration on the Erosion Damage in Ball Valves of Pressure Reducing Station
https://jcamech.ut.ac.ir/article_65701.html
10.22059/jcamech.2018.254108.244
1
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.
0

127
134


Amir
Askari
Department of Mechanical Engineering, Ahvaz Branch, Islamic Azad University, Ahvaz, Iran
Iran
amiraskari36@yahoo.com


Ali
Falavand Jozaei
Department of Mechanical Engineering, Ahvaz Branch, Islamic Azad University, Ahvaz, Iran
Iran
falavand@iauahvaz.ac.ir
Ball valve
erosion
Particle
concentration
Valve opening
simulation
[[1] K. Haugen, O. Kvernvold, A. Ronold, R. Sandberg, Sand erosion of wearresistant materials: Erosion in choke valves, Wear, Vol. 186, pp. 179188, 1995.##[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.##[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. 184193, 1998.##[4] G. Parslow, D. Stephenson, J. Strutt, S. Tetlow, Investigation of solid particle erosion in components of complex geometry, Wear, Vol. 233, pp. 737745, 1999.##[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. 2533, 2001.##[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. 114119, 2001.##[7] J. Fan, K. Luo, X. Zhang, K. Cen, Large eddy simulation of the antierosion characteristics of the ribbedbend in gassolid flows, Journal of engineering for gas turbines and power, Vol. 126, No. 3, pp. 672679, 2004.##[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. 426433, 2005.##[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. 95101, 2005.##[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 twophase flow, Wear, Vol. 261, No. 7, pp. 715729, 2006.##[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. 885909, 2006.##[12] R. Malka, S. Nešić, D. A. Gulino, Erosion–corrosion and synergistic effects in disturbed liquidparticle flow, Wear, Vol. 262, No. 7, pp. 791799, 2007.##[13] M. Suzuki, K. Inaba, M. Yamamoto, Numerical simulation of sand erosion in a squaresection 90degree bend, Journal of Fluid Science and Technology, Vol. 3, No. 7, pp. 868880, 2008.##[14] P. Tang, J. Yang, J. Zheng, G. Ou, S. He, J. Ye, I. Wong, Y. Ma, Erosioncorrosion failure of REAC pipes under multiphase flow, Frontiers of Energy and Power Engineering in China, Vol. 3, No. 4, pp. 389395, 2009.##[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. 28362841, 2010.##[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. 327336, 2010.##[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. 16, 2012.##[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. 467476, 2012.##[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)” ##[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)” ##[21] H. Zhu, Q. Pan, W. Zhang, G. Feng, X. Li, CFD simulations of flow erosion and flowinduced deformation of needle valve: Effects of operation, structure and fluid parameters, Nuclear Engineering and Design, Vol. 273, pp. 396411, 2014.##[22] M. Droubi, R. Tebowei, S. Islam, M. Hossain, E. Mitchell, Computational Fluid Dynamic Analysis of Sand Erosion in 90o Sharp Bend Geometry, 2016.##]
1

Solving Single Phase Fluid Flow Instability Equations Using Chebyshev Tau QZ Polynomial
https://jcamech.ut.ac.ir/article_65771.html
10.22059/jcamech.2018.250600.235
1
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 TauQZ 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 TauQZ 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 TauQZ 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.
0

135
139


Aminreza
Noghrehabadi
Professor, Department of Mechanical Engineering, Faculty of Engineering, Shahid Chamran University of Ahvaz, Ahvaz, Iran
Iran
noghrehabadi@scu.ac.ir


Alireza
Daneh Dezfuli
Assistant professor, Department of Mechanical Engineering, Faculty of Engineering, Shahid Chamran University of Ahvaz, Ahvaz, Iran
Iran
alirezadanehdezfouli@gmail.com


Farokh
Alipour
PhD candidate, Department of Mechanical Engineering, Shahid Chamran University of Ahvaz, Ahvaz, Iran
Iran
alipour.f@gmail.com
Single phase flow
turbulence
Instability equations
Eigenvalue equations
Chebyshev polynomial
[[1] Davidson, P., 2015, Turbulence: an introduction for scientists and engineers. Oxford University Press, USA.##[2] Schmid, Peter J., and Dan S. Henningson, 2012, Stability and transition in shear flows, Vol. 142. Springer Science & Business Media.##[3] Dou, HuaShu., 2006, Mechanism of flow instability and transition to turbulence, International Journal of NonLinear Mechanics 41.4: 512517.##[4] Dou, HuaShu., 2006, Physics of flow instability and turbulent transition in shear flows, arxiv preprint physics/0607004.##[5] Mullin,T., Experimental Studies of Transition to Turbulence in a Pipe, Annual Review of Fluid Mechanics,Vol. 43:124.##[6] Kerswell, R. R., and O. R. Tutty, 2007, Recurrence of travelling waves in transitional pipe flow, Journal of Fluid Mechanics 584: 69102. ##[7] Eckhardt, Bruno, et al., 2007, Turbulence transition in pipe flow, Annu. Rev. Fluid Mech. 39: 447468.##[8] Fox, R. W., McDonald, A. T., Pritchard, P. J.,2011, Introduction to Fluid Mechanics, John Wiley & Sons Press.##[9] Mellibovsky, Fernando, et al., 2009, Transition in localized pipe flow turbulence, Physical review letters 103.5: 054502.##[10] Drazin, P. G. and W. H. Reid, 1981, Hydrodynamic stability, Cambridge university press Cambridge.##[11] Sexl, T. , 1927, Zur stabilitätsfrage der Poiseuilleschen und Couetteschen strömung." Annalen der Physik 388(14): 835848.##[12] Dongarra, J., et al., 1996, Chebyshev tauQZ algorithm methods for calculating spectra of hydrodynamic stability problems, Applied Numerical Mathematics 22(4): 399434.##[13] Gardner, D. R., et al., 1989, A modified tau spectral method that eliminates spurious eigenvalues, Journal of Computational Physics 80(1): 137167.##[14] Fox, L., 1962,Chebyshev methods for ordinary differential equations, The Computer Journal 4(4): 318331.##[15] Davey, A. and P. Drazin, 1969, The stability of Poiseuille flow in a pipe, Journal of Fluid Mechanics 36(2): 209218.##]
1

Influence of taxol and CNTs on the stability analysis of protein microtubules
https://jcamech.ut.ac.ir/article_70479.html
10.22059/jcamech.2019.277874.369
1
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 microtubulestabilizing 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 sizedependent model is developed for the stability analysis of CNTstabilized 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.
0

140
147


Elaheh
Rohani Rad
Faculty of Health and Medical Sciences, Adelaide Medical School, University of Adelaide, Adelaide, Australia
Australia
elaheh.rohanirad@student.adelaide.edu.au


Mohammad Reza
Farajpour
Borjavaran Center of Applied Science and Technology, University of Applied Science and Technology, Tehran, Iran
Iran
mfarajpour68@gmail.com
Protein microtubules
stability analysis
Taxol
Carbon nanotubes
[[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. 85120, 2009.##[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.##[3] P.C. Lee, Y.C. Chiou, J.M. Wong, C.L. Peng, M.J. Shieh, Targeting colorectal cancer cells with singlewalled carbon nanotubes conjugated to anticancer agent SN38 and EGFR antibody, Biomaterials, Vol. 34, No. 34, pp. 87568765, 2013.##[4] S. Peretz, O. Regev, Carbon nanotubes as nanocarriers in medicine, Current Opinion in Colloid & Interface Science, Vol. 17, No. 6, pp. 360368, 2012.##[5] N. M. Bardhan, D. Ghosh, A. M. Belcher, Carbon nanotubes as in vivo bacterial probes, Nature communications, Vol. 5, pp. 4918, 2014.##[6] A. Sharma, S. Hong, R. Singh, J. Jang, Singlewalled carbon nanotube based transparent immunosensor for detection of a prostate cancer biomarker osteopontin, Analytica chimica acta, Vol. 869, pp. 6873, 2015.##[7] L. GarcíaHevia, 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. 15811588, 2014.##[8] L. RodriguezFernandez, 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. 66146625, 2012.##[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. 923934, 1993.##[10] J. M. Berg, J. Tymoczko, L. Stryer, Glycolysis is an energyconversion pathway in many organisms, Biochemistry. 5th ed. New York: WH Freeman, 2002.##[11] J. A. Kaltschmidt, A. H. Brand, Asymmetric cell division: microtubule dynamics and spindle asymmetry, J Cell Sci, Vol. 115, No. 11, pp. 22572264, 2002.##[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.##[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. 114, 2017.##[14] S. Suresh, Biomechanics and biophysics of cancer cells, Acta Materialia, Vol. 55, No. 12, pp. 39894014, 2007.##[15] F. Pampaloni, G. Lattanzi, A. Jonáš, T. Surrey, E. Frey, E.L. Florin, Thermal fluctuations of grafted microtubules provide evidence of a lengthdependent persistence length, Proceedings of the National Academy of Sciences, Vol. 103, No. 27, pp. 1024810253, 2006.##[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. 221228, 1995.##[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. 313332, 2018.##[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.##[19] M. Ece, M. Aydogdu, Nonlocal elasticity effect on vibration of inplane loaded doublewalled carbon nanotubes, Acta Mechanica, Vol. 190, No. 14, pp. 185195, 2007.##[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. 2327, 2012.##[21] M. Aydogdu, I. Elishakoff, On the vibration of nanorods restrained by a linear spring inspan, Mechanics Research Communications, Vol. 57, pp. 9096, 2014.##[22] M. Z. Nejad, A. Hadi, A. Rastgoo, Buckling analysis of arbitrary twodirectional functionally graded Euler–Bernoulli nanobeams based on nonlocal elasticity theory, International Journal of Engineering Science, Vol. 103, pp. 110, 2016.##[23] M. Z. Nejad, A. Hadi, Nonlocal analysis of free vibration of bidirectional functionally graded Euler–Bernoulli nanobeams, International Journal of Engineering Science, Vol. 105, pp. 111, 2016.##[24] A. Hadi, M. Z. Nejad, M. Hosseini, Vibrations of threedimensionally graded nanobeams, International Journal of Engineering Science, Vol. 128, pp. 1223, 2018.##[25] M. Z. Nejad, A. Hadi, A. Farajpour, Consistent couplestress theory for free vibration analysis of EulerBernoulli nanobeams made of arbitrary bidirectional functionally graded materials, Structural Engineering and Mechanics, Vol. 63, No. 2, pp. 161169, 2017.##[26] M. R. Farajpour, A. Shahidi, A. Farajpour, Resonant frequency tuning of nanobeams by piezoelectric nanowires under thermoelectromagnetic field: a theoretical study, Micro & Nano Letters, Vol. 13, No. 11, pp. 16271632, 2018.##[27] A. Farajpour, M. Mohammadi, A. Shahidi, M. Mahzoon, Axisymmetric buckling of the circular graphene sheets with the nonlocal continuum plate model, Physica E: Lowdimensional Systems and Nanostructures, Vol. 43, No. 10, pp. 18201825, 2011.##[28] M. Farajpour, A. Shahidi, A. Hadi, A. Farajpour, Influence of initial edge displacement on the nonlinear vibration, electrical and magnetic instabilities of magnetoelectroelastic nanofilms, Mechanics of Advanced Materials and Structures, Vol. DOI: 10.1080/15376494.2018.1432820, 2018.##[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.##[30] M. R. Farajpour, A. R. Shahidi, A. Farajpour, Frequency behavior of ultrasmall sensors using vibrating SMA nanowirereinforced sheets under a nonuniform biaxial preload, Materials Research Express, Vol. 6, pp. 065047, 2019.##[31] M. R. Farajpour, A. R. Shahidi, A. Farajpour, Frequency behavior of ultrasmall sensors using vibrating SMA nanowirereinforced sheets under a nonuniform biaxial preload, Materials Research Express, Vol. 6, No. 6, pp. 065047, 2019/03/29, 2019.##[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.##[33] H. Jiang, L. Jiang, J. D. Posner, B. D. Vogt, Atomisticbased continuum constitutive relation for microtubules: elastic modulus prediction, Computational Mechanics, Vol. 42, No. 4, pp. 607618, 2008.##[34] T. Li, A mechanics model of microtubule buckling in living cells, Journal of biomechanics, Vol. 41, No. 8, pp. 17221729, 2008.##[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. 11331138, 2011.##[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. 300305, 2014.##[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. 1826, 2014.##[38] A. G. Arani, M. Abdollahian, M. Jalaei, Vibration of bioliquidfilled microtubules embedded in cytoplasm including surface effects using modified couple stress theory, Journal of theoretical biology, Vol. 367, pp. 2938, 2015.##[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. 335352, 2016.##[40] M. A. Jordan, L. Wilson, Microtubules as a target for anticancer drugs, Nature Reviews Cancer, Vol. 4, No. 4, pp. 253, 2004.##[41] C. Lim, G. Zhang, J. Reddy, A higherorder nonlocal elasticity and strain gradient theory and its applications in wave propagation, Journal of the Mechanics and Physics of Solids, Vol. 78, pp. 298313, 2015.##[42] M. R. Farajpour, A. Rastgoo, A. Farajpour, M. Mohammadi, Vibration of piezoelectric nanofilmbased electromechanical sensors via higherorder nonlocal strain gradient theory, Micro & Nano Letters, Vol. 11, No. 6, pp. 302307, 2016.##[43] L. Li, Y. Hu, L. Ling, Wave propagation in viscoelastic singlewalled carbon nanotubes with surface effect under magnetic field based on nonlocal strain gradient theory, Physica E: Lowdimensional Systems and Nanostructures, Vol. 75, pp. 118124, 2016.##[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. 100114, 2017.##[45] M. Mohammadi, A. Farajpour, M. Goodarzi, R. Heydarshenas, Levy type solution for nonlocal thermomechanical vibration of orthotropic monolayer graphene sheet embedded in an elastic medium, Journal of Solid Mechanics, Vol. 5, No. 2, pp. 116132, 2013.##[46] S. R. Asemi, A. Farajpour, Vibration characteristics of doublepiezoelectricnanoplatesystems, IET Micro & Nano Letters, Vol. 9, No. 4, pp. 280285, 2014.##[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. 704724, 2014.##[48] M. Hosseini, A. Hadi, A. Malekshahi, M. Shishesaz, A review of sizedependent elasticity for nanostructures, Journal of Computational Applied Mechanics, Vol. 49, No. 1, pp. 197211, 2018.##[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. 137150, 2016.##[50] A. Farajpour, A. Rastgoo, M. Farajpour, Nonlinear buckling analysis of magnetoelectroelastic CNTMT hybrid nanoshells based on the nonlocal continuum mechanics, Composite Structures, Vol. 180, pp. 179191, 2017.##[51] M. Goodarzi, M. Mohammadi, A. Farajpour, M. Khooran, Investigation of the effect of prestressed on vibration frequency of rectangular nanoplate based on a viscoPasternak foundation, Journal of Solid Mechanics, Vol. 6, pp. 98121, 2014.##[52] S. R. Asemi, M. Mohammadi, A. Farajpour, A study on the nonlinear stability of orthotropic singlelayered graphene sheet based on nonlocal elasticity theory, Latin American Journal of Solids and Structures, Vol. 11, No. 9, pp. 15151540, 2014.##[53] M. Mohammadi, A. Farajpour, M. Goodarzi, H. Mohammadi, Temperature effect on vibration analysis of annular graphene sheet embedded on viscoPasternak foundation, Journal of Solid Mechanics, Vol. 5, No. 3, pp. 305323, 2013.##[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. 13671375, 2017.##[55] M. Farajpour, A. Shahidi, F. Tabataba’iNasab, A. Farajpour, Vibration of initially stressed carbon nanotubes under magnetothermal environment for nanoparticle delivery via higherorder nonlocal strain gradient theory, The European Physical Journal Plus, Vol. 133, No. 6, pp. 219, 2018.##[56] A. C. Eringen, 2002, Nonlocal continuum field theories, Springer Science & Business Media,##[57] C. Li, C. Ru, A. Mioduchowski, Lengthdependence of flexural rigidity as a result of anisotropic elastic properties of microtubules, Biochemical and biophysical research communications, Vol. 349, No. 3, pp. 11451150, 2006.##[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. 51795197, 1995. ##]
1

Vibration of FG viscoelastic nanobeams due to a periodic heat flux via fractional derivative model
https://jcamech.ut.ac.ir/article_70476.html
10.22059/jcamech.2019.277115.367
1
In this work, the vibrations of viscoelastic functionally graded Euler–Bernoulli nanostructure beams are investigated using the fractionalorder 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 nanostructures such as nanoelectro mechanical systems (NEMS), nanoactuators, etc.
0

148
156


Ahmed
Abouelregal
Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt
Egypt
ahabogal@gmail.com


Ashraf
Zenkour
Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia
Saudi Arabia
zenkour@gmail.com
Viscoelastic
fractional derivatives
FG nanobeam
periodic heat flux
[[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.##[2] Koizumi M. The concept of FGM. Ceramic Trans 1993; 34: 3–10.##[3] Zenkour AM, Abouelregal AE. Effect of harmonically varying heat on FG nanobeams in the context of a nonlocal twotemperature thermoelasticity theory. Euro J Comp Mech 2014; 23(1–2): 1–14.##[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.##[5] Sankar BV. An elasticity solution for functionally graded beams. J Compos Sci Technol2001; 61(5): 689–696.##[6] Aydogdu M, Taskin V. Free vibration analysis of functionally graded beams with simply supported edges. J Mater Des2007; 28(5): 1651–1656.##[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): 519539.##[8] Zenkour AM, Abouelregal AE. Effect of ramptype heating on the vibration of functionally graded microbeams without energy dissipation. Mech Advan Mat Struc 2016; 23(5): 529–537.##[9] Alibeigloo A. Thermoelasticity analysis of functionally graded beam with integrated surface piezoelectric layers. Comp Struc 2010; 92(6): 1535–1543.##[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), 455470.##[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.##[12] Uymaz, B. Forced vibration analysis of functionally graded beams using nonlocal elasticity. Comp Struct 2013; 105: 227239.##[13] Abouelregal AE, Zenkour AM. Effect of phase lags on thermoelastic functionally graded microbeams subjected to ramptype heating. IJST, Trans Mech Eng 2014; 38(M2): 321–335.##[14] Eringen AC. Nonlocal polar elastic continua. Inte J Eng Sci 1972; 10: 1–16.##[15] Eringen AC. On differential equations of nonlocal elasticity and solutions of screw dislocation and surface waves. J Appl Phys 1983; 54: 4703–4710.##[16] Eringen AC, Edelen DGB. On nonlocal elasticity. Int J Eng Sci 1972; 10: 233–248.##[17] Adhikari S, Mrumu T, McCarthy MA. Dynamic finite element analysis of axially vibrating nonlocal rods. Fin Elem Analy Design 2013; 63: 42–50.##[18] Benzair A, Tounsi1 A, Besseghier A, Heireche H, Moulay N, Boumia L. The thermal effect on vibration of singlewalled carbon nanotubes using nonlocal Timoshenko beam theory. J Phys D: Appl Phys 2008; 41(22): 225404110.##[19] Wang, Q, Liew KM. Application of nonlocal continuum mechanics to static analysis of micro and nanostructures. Phys Lett A 2007; 363(3): 236–242.##[20] Togun N. Nonlocal beam theory for nonlinear vibrations of a nanobeam resting on elastic foundation. Bound Val Prob 2016; 1: 114.##[21] Zenkour AM, Abouelregal AE. Vibration of FG nanobeams induced by sinusoidal pulseheating via a nonlocal thermoelastic model. Acta Mech 2014; 225(12): 3409–3421.##[22] Zenkour AM, Abouelregal AE. Effect of harmonically varying heat on FG nanobeams in the context of a nonlocal twotemperature thermoelasticity theory, Europ J Comput Mech 2014; 23(12): 114.##[23] Abouelregal AE, Zenkour AM. Thermoelastic response of nanobeam resonators subjected to exponential decaying time varying load. J Theo App Mech 2017; 55(3): 937948 Warsaw.##[24] A Abouelregal AE, Zenkour AM. Dynamic response of a nanobeam induced by ramptype heating and subjected to a moving load. Micro Tech 2017; 23(12): 59115920.##[25] Povstenko YZ. Thermoelasticity that uses fractional heat conduction equation, J Math Sci 2009; 162(2): 296–305.##[26] Miller K, Ross B. An Introduction to the Fractional Calculus and Fractional Differential Equations, Wiley, New York, 1993.##[27] Podlubny I. Fractional Differential Equations, Academic Press, San Diego, 1999.##[28] Mandelbrot BB. The Fractal Geometry of Nature, Macmillan, 1983.##[29] Klimek M. Fractional sequential mechanicsmodels with symmetric fractional derivative. Czechoslov J. Phys. 2001; 51: 1348–1354.##[30] Riewe F. Mechanics with fractional derivatives. Phys Rev E 1997; 55: 3581.##[31] Mainardi F. Fractional Calculusand Wavesin Linear Viscoelasticity: An Introduction to Mathematical Models, World Scientific, Singapore, 2010.##[32] Sumelka W. Fractional viscoplasticity. Mech Res Commun 2014; 56: 31–36.##[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.##[34] Pouresmaeeli S, Ghavanloo E, Fazelzadeh SA. Vibration analysis of viscoelastic orthotropic nanoplates resting on viscoelastic medium. Compos Struct 2013; 96: 405410.##[35] Lei Y, Adhikari S, Friswell MI. Vibration of nonlocal Kelvin–Voigt viscoelastic damped Timoshenko beams. Int J Eng Sci 2013; 6667: 1–13.##[36] Morland LW, Lee EH. Stress analysis for linear viscoelastic materials with temperature variation. Trans Soc Rheol 1960; 4: 233–263.##[37] Biot MA. Theory of stress–strain relations in an isotropic viscoelasticity, and relaxation phenomena. J Appl Phys 1965;18: 27–34.##[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.##[39] Bagley R. On the equivalence of the RiemannLiouville and the Caputo fractional order derivatives in modeling of linear viscoelastic materials. Fract Calc Appl Analy 2007; 10(2): 123126.##[40] Caputo M, Mainardi F. Linear models of dissipation in anelastic solids. Rivista del Nuovo Cimento 1971; 1(2): 161–198.##[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: 464471.##[42] Mainardi F. Fractional calculus and waves in linear viscoelastisity: An introduction to mathematical models, London, Imperial College Press, 2009.##[43] Bagley RL, Torvik PJ. Fractional calculusa different approach to the analysis of viscoelastically damped structures. AIAA J. 1983; 21(5), 741–748.##[44] Bagley RL, Torvik PJ. On the fractional calculus model of viscoelastic behavior. J. Rheol. 1986; 30: 133–155.##[45] Lord H, Shulman Y. A generalized dynamical theory of thermoelasticity. J Mech Phys Solid 1967; 15: 299309.##[46] Honig G, Hirdes U. A method for the numerical inversion of the Laplace transform. J Comput Appl Math 1984;10: 113132.##]
1

Dynamics analysis of microparticles in inertial microfluidics for biomedical applications
https://jcamech.ut.ac.ir/article_71278.html
10.22059/jcamech.2019.281000.391
1
Inertial microfluidicsbased 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 microfluidicsbased 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 microfluidicsbased devices. Explicit expressions are presented for various important forces, which act on a microparticle, such as drag, Magnus, Saffman and wallinduced 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 wallinduced force, are investigated. It is found that the drag, wallinduced 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.
0

157
164


Elaheh
Rohani Rad
Faculty of Health and Medical Sciences, Adelaide Medical School,
University of Adelaide
Australia
elaheh.rohanirad@student.adelaide.edu.au


Mohammad Reza
Farajpour
Borjavaran Center of Applied Science and Technology, University of Applied Science and Technology, Tehran, Iran
Iran
mfarajpour68@gmail.com
Inertial microfluidics
Particle separation
Particle sorting
Intrinsic forces
[[1] S. Asemi, A. Farajpour, M. Mohammadi, Nonlinear vibration analysis of piezoelectric nanoelectromechanical resonators based on nonlocal elasticity theory, Composite Structures, Vol. 116, pp. 703712, 2014.##[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. 490493, 2007.##[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. 60646068, 2013.##[4] M. R. Farajpour, A. Rastgoo, A. Farajpour, M. Mohammadi, Vibration of piezoelectric nanofilmbased electromechanical sensors via higherorder nonlocal strain gradient theory, IET Micro & Nano Letters, Vol. 11, No. 6, pp. 302307, 2016.##[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. 10271036, 2010.##[6] M. R. Farajpour, A. R. Shahidi, A. Farajpour, Frequency behavior of ultrasmall sensors using vibrating SMA nanowirereinforced sheets under a nonuniform biaxial preload, Materials Research Express, Vol. 6, pp. 065047, 2019.##[7] M. M. Adeli, A. Hadi, M. Hosseini, H. H. Gorgani, Torsional vibration of nanocone based on nonlocal strain gradient elasticity theory, The European Physical Journal Plus, Vol. 132, No. 9, pp. 393, 2017.##[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. 2335, 2015.##[9] A. Hadi, M. Z. Nejad, M. Hosseini, Vibrations of threedimensionally graded nanobeams, International Journal of Engineering Science, Vol. 128, pp. 1223, 2018.##[10] M. Z. Nejad, A. Hadi, A. Rastgoo, Buckling analysis of arbitrary twodirectional functionally graded Euler–Bernoulli nanobeams based on nonlocal elasticity theory, International Journal of Engineering Science, Vol. 103, pp. 110, 2016.##[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. 29732980, 2009.##[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. 8589, 2019.##[13] M. R. Farajpour, A. R. Shahidi, A. Farajpour, Elastic waves in fluidconveying carbon nanotubes under magnetohygromechanical loads via a twophase local/nonlocal mixture model, Materials Research Express, Vol. 6, pp. 0850a8, 2019.##[14] M. Farajpour, A. Shahidi, A. Farajpour, Influences of nonuniform initial stresses on vibration of smallscale sheets reinforced by shape memory alloy nanofibers, The European Physical Journal Plus, Vol. 134, No. 5, pp. 218, 2019.##[15] A. Farajpour, A. Rastgoo, M. Farajpour, Nonlinear buckling analysis of magnetoelectroelastic CNTMT hybrid nanoshells based on the nonlocal continuum mechanics, Composite Structures, Vol. 180, pp. 179191, 2017.##[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.##[17] M. Farajpour, A. Shahidi, A. Hadi, A. Farajpour, Influence of initial edge displacement on the nonlinear vibration, electrical and magnetic instabilities of magnetoelectroelastic nanofilms, Mechanics of Advanced Materials and Structures, Vol. DOI: 10.1080/15376494.2018.1432820, 2018.##[18] M. Farajpour, A. Shahidi, F. Tabataba’iNasab, A. Farajpour, Vibration of initially stressed carbon nanotubes under magnetothermal environment for nanoparticle delivery via higherorder nonlocal strain gradient theory, The European Physical Journal Plus, Vol. 133, No. 6, pp. 219, 2018.##[19] M. R. Farajpour, A. Shahidi, A. Farajpour, Resonant frequency tuning of nanobeams by piezoelectric nanowires under thermoelectromagnetic field: a theoretical study, Micro & Nano Letters, Vol. 13, No. 11, pp. 16271632, 2018.##[20] M. Hosseini, M. Shishesaz, K. N. Tahan, A. Hadi, Stress analysis of rotating nanodisks of variable thickness made of functionally graded materials, International Journal of Engineering Science, Vol. 109, pp. 2953, 2016.##[21] M. Z. Nejad, A. Hadi, A. Farajpour, Consistent couplestress theory for free vibration analysis of EulerBernoulli nanobeams made of arbitrary bidirectional functionally graded materials, Structural Engineering and Mechanics, Vol. 63, No. 2, pp. 161169, 2017.##[22] M. Hosseini, A. Hadi, A. Malekshahi, M. Shishesaz, A review of sizedependent elasticity for nanostructures, Journal of Computational Applied Mechanics, Vol. 49, No. 1, pp. 197211, 2018.##[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. 137150, 2016.##[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.##[25] M. Abdelgawad, A. R. Wheeler, Lowcost, rapidprototyping of digital microfluidics devices, Microfluidics and nanofluidics, Vol. 4, No. 4, pp. 349, 2008.##[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. 1034, 2016.##[27] M. E. Warkiani, B. L. Khoo, L. Wu, A. K. P. Tay, A. A. S. Bhagat, J. Han, C. T. Lim, Ultrafast, labelfree isolation of circulating tumor cells from blood using spiral microfluidics, Nature protocols, Vol. 11, No. 1, pp. 134, 2016.##[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. 11011109, 2015.##[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 smartphonebased device for pointofcare ovulation testing, Lab on a Chip, Vol. 19, No. 1, pp. 5967, 2019.##[30] A. J. Chung, A Minireview on Inertial Microfluidics Fundamentals: Inertial Particle Focusing and Secondary Flow, BioChip Journal, Vol. 13, No. 1, pp. 5363, 2019.##[31] D. Di Carlo, Inertial microfluidics, Lab on a Chip, Vol. 9, No. 21, pp. 30383046, 2009.##[32] A. Kommajosula, D. Stoecklein, D. Di Carlo, B. Ganapathysubramanian, Shapedesign for stabilizing microparticles in inertial microfluidic flows, arXiv preprint arXiv:1902.05935, 2019.##[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. 99150: Springer, 2019.##[34] J. M. Coulson, J. F. Richardson, J. R. Backhurst, J. H. Harker, 1991, Particle technology and separation processes, Pergamon Press,##[35] S. R. Asemi, A. Farajpour, Vibration characteristics of doublepiezoelectricnanoplatesystems, Micro & Nano Letters, Vol. 9, No. 4, pp. 280285, 2014.##[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. 704724, 2014.##[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. 13671375, 2017.##[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. 100114, 2017.##[39] M. Farajpour, A. Shahidi, A. Farajpour, Influence of shear preload on wave propagation in smallscale plates with nanofibers, Structural Engineering and Mechanics Vol. 70, No. 4, pp. 407420 2019.##[40] M. Goodarzi, M. Mohammadi, A. Farajpour, M. Khooran, Investigation of the effect of prestressed on vibration frequency of rectangular nanoplate based on a viscoPasternak foundation, Journal of Solid Mechanics, Vol. 6, pp. 98121, 2014.##[41] S. R. Asemi, M. Mohammadi, A. Farajpour, A study on the nonlinear stability of orthotropic singlelayered graphene sheet based on nonlocal elasticity theory, Latin American Journal of Solids and Structures, Vol. 11, No. 9, pp. 15151540, 2014.##[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. 299311, 2015.##[43] R. M. Mazo, 2002, Brownian motion: fluctuations, dynamics, and applications, Oxford University Press on Demand,##[44] R. Clift, J. R. Grace, M. E. Weber, 2005, Bubbles, drops, and particles, Courier Corporation,##[45] E. Michaelides, 2006, Particles, bubbles & drops: their motion, heat and mass transfer, World Scientific,##[46] P. Saffman, The lift on a small sphere in a slow shear flow, Journal of fluid mechanics, Vol. 22, No. 2, pp. 385400, 1965.##[47] H. Brenner, The slow motion of a sphere through a viscous fluid towards a plane surface, Chemical engineering science, Vol. 16, No. 34, pp. 242251, 1961.##[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. 201222, 1977. ##]
1

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
https://jcamech.ut.ac.ir/article_70806.html
10.22059/jcamech.2019.278376.372
1
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 nondimensional 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.
0

165
173


Hani
Qadan
Faculty Engineering, Department of Civil Engineering, AlBalqa Applied University, AmmanJordan
Jordan
hani_qadan@yahoo.com


Hamzeh
Alkasasbeh
Department of Mathematics, Faculty of Science, Ajloun National University, P.O. Box 43, Ajloun 26810, Jordan
Jordan
hamzahtahak@yahoo.com


Nusayba
Yaseen
Faculty of art and science, Aqaba University of Technology, AqabaJordan
Jordan
nusaybay@gmail.com


Mohammed Z.
Sawalmeh
Faculty of art and science, Aqaba University of Technology, AqabaJordan
Jordan
mohd12010@yahoo.com


Shaima
ALKhalafat
Faculty of art and science, Aqaba University of Technology, AqabaJordan
Jordan
shima.khalafat@gmail.com
Casson Fluid
Horizontal Circular Cylinder
Magnetohydrodynamic (MHD)
Micropolar Fluid
Numerical solution
Radiation
[[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): 001.##[2] Abolbashari, M. H., N. Freidoonimehr, et al. "Analytical modeling of entropy generation for Casson nanofluid flow induced by a stretching surface." Advanced Powder Technology 26(2): 542552.##[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.##[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): 69897000.##[5] Animasaun, I. L. "Effects of thermophoresis, variable viscosity and thermal conductivity on free convective heat and mass transfer of nondarcian MHD dissipative Casson fluid flow with suction and nth order of chemical reaction." Journal of the Nigerian Mathematical Society 34(1): 1131.##[6] Ariman, T., M. A. Turk, et al. (1973). "Microcontinuum fluid mechanicsâ€”a review." International Journal of Engineering Science 11(8): 905930.##[7] Blasius, H. (1908). "Grenzschichten in Flussigkeiten mit kleiner Reibung, 2. angew." Math. Phye 56.##Casson, N. (1959). "A flow equation for pigmentoil suspensions of the printing ink type." Rheology of disperse systems.##[8] Cebeci, T. and P. Bradshaw Physical and computational aspects of convective heat transfer, Springer Science & Business Media.##[9] Cortell Bataller, R. (2008). "Radiation effects in the Blasius flow." Applied mathematics and computation 198(1): 333338.##[10] Eringen, A. C. (1966). "Theory of micropolar fluids." Journal of Mathematics and Mechanics: 118.##[11] Gaffar, S. A., V. R. Prasad, et al. "Magnetohydrodynamic free convection flow and heat transfer of nonNewtonian tangent hyperbolic fluid from horizontal circular cylinder with Biot number effects." International Journal of Applied and Computational Mathematics 3(2): 721743.##[12] Gul, A. and M. Ullah "Thin Film Flow Analysis of a MHD Third Grade Fluid on a Vertical Belt With noslip Boundary Conditions." J. Appl. Environ. Biol. Sci 4(10): 7184.##[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): 862871.##[14] Ingham, D. B. (1978). "Freeconvection boundary layer on an isothermal horizontal cylinder." Zeitschrift fأ¼r angewandte Mathematik und Physik ZAMP 29(6): 871883.##[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): 309317.##[16] Khonsari, M. M. and D. E. Brewe (1994). "Effect of viscous dissipation on the lubrication characteristics of micropolar fluids." Acta Mechanica 105(14): 5768.##[17] Lukaszewicz, G. (1999). Micropolar fluids: theory and applications, Springer Science & Business Media.##[18] Mahdy, A. and S. E. Ahmed "Unsteady MHD convective flow of nonNewtonian Casson fluid in the stagnation region of an impulsively rotating sphere." Journal of Aerospace Engineering 30(5): 04017036.##[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): 869873.##[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] 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. 911, 1976, ASME 5 p.##[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] 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] 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): 16.##[25] Mukhopadhyay, S., I. C. Mondal, et al. "Casson fluid flow and heat transfer past a symmetric wedge." Heat Transferâ€”Asian Research 42(8): 665675.##[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): 563576.##[27] Nagendra, N., C. H. Amanulla, et al. "Mathematical Study of NonNewtonian Nanofluid Transport Phenomena from an Isothermal Sphere." Frontiers in Heat and Mass Transfer (FHMT) 8.##[28] Nazar, R., N. Amin, et al. (2003). "Mixed convection boundarylayer 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): 86109.##[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): 309326.##[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: 1938.##[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] 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): 187195.##[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 Transferâ€”Asian Research 44(3): 272291.##[34] Swalmeh, M. Z., H. T. Alkasasbeh, et al. (2018). "Heat transfer flow of Cuwater and Al2O3water micropolar nanofluids about a solid sphere in the presence of natural convection using Kellerbox method." Results in Physics 9: 717724.##[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.##]
1

GENERAL SOLUTION OF ELASTICITY PROBLEMS IN TWO DIMENSIONAL POLAR COORDINATES USING MELLIN TRANSFORM
https://jcamech.ut.ac.ir/article_71279.html
10.22059/jcamech.2019.278288.370
1
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.
0

174
181


Charles
Ike
Dept of Civil Engineering, Enugu State University of Science and Technology,
Enugu State, Nigeria
Nigeria
ikecc2007@yahoo.com
Mellin transform method
Mellin transform inversion formula
biharmonic stress compatibility equation
Airy stress potential function
two dimensional (2D) elasticity problem
[[1] S.K. Borg. Fundamentals of Engineering Elasticity Second Edition. World Scientific Publishing Co. Ltd. London, 1970.##[2] J. Blaauwendraad. Theory of Elasticity ct 5141 Direct Methods. DelftUniversity of Technology, Faculty of Civil Engineering and Sciences. June 2003.##[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.##[4] I.S. Sokolnikoff. Mathematical Theory of Elasticity Second Edition. Tata McGrawHill Publishing Company Ltd, Bombay, New Delhi 1956.##[5] R.J. Atkin and N. Fox. An introduction of the theory of elasticity. Longman Group Ltd, London 1980.##[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.##[7] H.R. Hamidzadeh and R.N. Jazar. Vibrations of thick cylindrical structures. Springer Science Business Media p. 15 – 26, 2010.##[8] A. Hazel. MATH 350211: Elasticity www.maths.manchester.ac.uk/~ahazel/ MATHS Nov 30 2015.##[9] D. Palaniappian. A general solution of equations of equilibrium in linear elasticity. Applied Mathematical Modelling 35 (2011). Pp. 5494 – 5499. Elsevier, 2011.##[10] S.P. Timoshenko and J.N. Goodier. Theory of Elasticity, Third Edition. McGraw Hill, New York 1970.##[11] C. Ramadas. 2D Theory of Elasticity R&DE (Engineers) DRDO. http://imechanica.org/files/2D theory of elasticity.pdf.##[12] O. Joubert. The Mellin Transform. October 2011. math.sun.ac.za/wpcontent/uploads/2013/02/Hons_Projek.pdf.##[13] D. Zagier. Appendix. The Mellin Transform and Related Analytic Techniques. people.mpimbonn.mpg.de/zagier/files/text/Mellin Transform/fulltext.pdf##[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.##[15] B.M. Das. Advanced Soil Mechanics Third Edition. Taylor and Francis, New York, 2008.##[16] H.N. Onah, N.N. Osadebe, C.C. ike, C.U. Nwoji. Determination of stresses caused by infinitely long line loads on semiinfinite elastic soils using Fourier transform method. Nigerian Journal of Technology NIJOTECH Vol 35 No 4 October 2016 pp. 726 – 731.##]
1

Dynamical stability of cantilevered pipe conveying fluid in the presence of linear dynamic vibration absorber
https://jcamech.ut.ac.ir/article_69971.html
10.22059/jcamech.2019.276606.365
1
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 fluidconveying 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 quasianalytical 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 fluidstructure 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.
0

182
190


ZhiYuan
Liu
Department of Mechanics, Huazhong University of Science and Technology, Wuhan 430074, China
China
469825205@qq.com


Kun
Zhou
Department of Mechanics, Huazhong University of Science and Technology, Wuhan 430074, China
China
2524642385@qq.com


Lin
Wang
Department of Mechanics, Huazhong University of Science and Technology, Wuhan 430074, China
China
wanglindds@hust.edu.cn


TianLi
Jiang
Department of Mechanics, Huazhong University of Science and Technology, Wuhan 430074, China
China
2937194041@qq.com


HuLiang
Dai
Department of Mechanics, Huazhong University of Science and Technology, Wuhan 430074, China
China
daihulianglx@hust.edu.cn
Pipe conveying fluid
Linear dynamic vibration absorber
Stability
Critical flow velocity
Nonlinear oscillation
[[1] M. P. Paidoussis, G. X. Li, Pipes conveying fluid: a model dynamical problem, Journal of Fluids and Structures, Vol. 7, No. 2, pp. 137204, 1993.##[2] M. P. Paidoussis, The canonical problem of the fluidconveying pipe and radiation of the knowledge gained to other dynamics problems across Applied Mechanics, Journal of Sound and Vibration, Vol. 310, No. 3, pp. 462492, Feb 10, 2008.##[3] Y. Yang, J. Wang, Y. Yu, Wave propagation in fluidfilled singlewalled carbon nanotube based on the nonlocal strain gradient theory, Acta Mechanica Solida Sinica, Vol. 31, No. 4, pp. 484492, 2018.##[4] M. Hosseini, H. H. Gorgani, M. Shishesaz, A. Hadi, Sizedependent stress analysis of singlewall carbon nanotube based on strain gradient theory, International Journal of Applied Mechanics, Vol. 9, No. 06, pp. 1750087, 2017.##[5] V. Feodos’Ev, Vibrations and stability of a pipe when liquid flows through it, Inzhenernyi Sbornik, Vol. 10, pp. 169170, 1951.##[6] G. Housener, Bending vibration of a pipeline containing flowing fluid, Journal of Applied Mechancis, Vol. 19, pp. 205, 1952.##[7] F. I. Niordson, 1953, Vibrations of a cylindrical tube containing flowing fluid, Kungliga Tekniska Hogskolans Handlinar (Stockholm),##[8] R. D. Blevins, 1977, Flowinduced vibration, Van Nostrand Reinhold Co., New York##[9] F.J. Bourrières, 1939, Sur un phénomène d'oscillation autoentretenue en mécanique des fluides réels, E. Blondel La Rougery,##[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. 457486, 1961.##[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. 487499, 1961.##[12] M. P. Paidoussis, Oscillations of liquidfilled flexible tubes, Thesis, University of Cambridge, 1963.##[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. 512527, 1966.##[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. 528542, 1966.##[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. 494497, 1970.##[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. 887895, 1985.##[17] J. A. Jendrzejczyk, S. S. Chen, Experiments on tubes conveying fluid, ThinWalled Structures, Vol. 3, No. 2, pp. 109134, 1985.##[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. 2026, 1988.##[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. 129134, 1981.##[20] M. P. Paidoussis, C. Semler, Nonlinear dynamics of a fluidconveying cantilevered pipe with a small mass attached at the free end, International Journal of NonLinear Mechanics, Vol. 33, No. 1, pp. 1532, 1998.##[21] Y. ModarresSadeghi, C. Semler, M. WadhamGagnon, M. P. Païdoussis, Dynamics of cantilevered pipes conveying fluid. Part 3: Threedimensional dynamics in the presence of an endmass, Journal of Fluids and Structures, Vol. 23, No. 4, pp. 589603, 2007.##[22] S. Rinaldi, M. P. Paidoussis, Dynamics of a cantilevered pipe discharging fluid, fitted with a stabilizing endpiece, Journal of Fluids and Structures, Vol. 26, No. 3, pp. 517525, 2010.##[23] M. H. Ghayesh, M. P. Paidoussis, Y. ModarresSadeghi, Threedimensional dynamics of a fluidconveying cantilevered pipe fitted with an additional springsupport and an endmass, Journal of Sound and Vibration, Vol. 330, No. 12, pp. 28692899, 2011.##[24] L. Wang, H. L. Dai, Vibration and enhanced stability properties of fluidconveying pipes with two symmetric elbows fitted at downstream end, Archive of Applied Mechanics, Vol. 82, No. 2, pp. 155161, 2012/02/01, 2012.##[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. 12931300, 2014.##[26] R. D. FirouzAbadi, 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. 30023014, 2013/06/10/, 2013.##[27] G. S. Copeland, F. C. Moon, Chaotic flowinduced vibration of a flexible tube with end mass, Journal of Fluids and Structures, Vol. 6, No. 6, pp. 705718, 1992/11/01/, 1992.##[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. 17611795, 2016.##[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.##[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. PVP201765448, pp. V03BT03A035, 2017.##[31] K. Zhou, F. R. Xiong, N. B. Jiang, H. L. Dai, H. Yan, L. Wang, Q. Ni, Nonlinear vibration control of a cantilevered fluidconveying pipe using the idea of nonlinear energy sink, Nonlinear Dynamics, pp. 122, 2018.##[32] C. Semler, Nonlinear dynamics and chaos of a pipe conveying fluid, McGill University, 1992.##[33] Y. W. Zhang, B. Yuan, B. Fang, L. Q. Chen, Reducing thermal shockinduced vibration of an axially moving beam via a nonlinear energy sink, Nonlinear Dynamics, Vol. 87, No. 2, pp. 11591167, 2017.##[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 NonLinear Mechanics, Vol. 95, pp. 1929, 2017.##[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. 3250, February 01, 2018.##[36] Z. Y. Liu, L. Wang, H. L. Dai, P. Wu, T. L. Jiang, Nonplanar vortexinduced vibrations of cantilevered pipes conveying fluid subjected to loose constraints, Ocean Engineering, Vol. 178, pp. 119, 2019.##[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. 4756, 2011.##[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. 2327, 2012.##[39] M. P. Paidoussis, N. T. Issid, Dynamic stability of pipes conveying fluid, Journal of sound and vibration, Vol. 33, No. 3, pp. 267294, 1974. ##]
1

Sizedependent on vibration and flexural sensitivity of atomic force microscope
https://jcamech.ut.ac.ir/article_65215.html
10.22059/jcamech.2018.250335.233
1
In this paper, the free vibration behaviors and flexural sensitivity of atomic force microscope cantilevers with smallscale effects are investigated. To study the smallscale effects on natural frequencies and flexural sensitivity, the consistent couple stress theory is applied. In this theory, the couple stress is assumed skewsymmetric. Unlike the classical beam theory, the new model contains a materiallengthscale 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 materiallengthscale parameter and dimensionless thickness on the natural frequency and flexural sensitivity.
0

191
196


Reza
Javidi
School of Mechanical Engineering, College of Engineering, University of Tehran, Tehran, Iran
Iran
javidireza93@ut.ac.ir


Hamid
Haghshenas Gorgani
Engineering Graphics Center, Sharif University of Technology, Tehran, Iran
Iran
h_haghshenas@sharif.edu


Mohsen
Mahdavi Adeli
Department of Mechanical Engineering, Sousangerd Branch, Islamic Azad University, Sousangerd, Iran
Iran
mahdavi_mech_eng@yahoo.com
consistent couple stress theory
atomic force microscope (AFM)
Euler–Bernoulli beam
Hamilton’s principle
Sensitivity
[[1] A. Hadi, A. Rastgoo, A. Bolhassani, N. Haghighipour, Effects of stretching on molecular transfer from cell membrane by forming pores, Soft Materials, pp. 19, 2019.##[2] H. H. Gorgani, M. M. Adeli, M. Hosseini, Pullin behavior of functionally graded micro/nanobeams for MEMS and NEMS switches, Microsystem Technologies, pp. 19, 2018.##[3] M. Farajpour, A. Shahidi, A. Hadi, A. Farajpour, Influence of initial edge displacement on the nonlinear vibration, electrical and magnetic instabilities of magnetoelectroelastic nanofilms, Mechanics of Advanced Materials and Structures, pp. 113, 2018.##[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. 41414168, 2017.##[5] A. Hadi, M. Z. Nejad, A. Rastgoo, M. Hosseini, Buckling analysis of FGM EulerBernoulli nanobeams with 3Dvarying properties based on consistent couplestress theory, Steel and Composite Structures, Vol. 26, No. 6, pp. 663672, 2018.##[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.##[7] M. Hosseini, M. Shishesaz, A. Hadi, Thermoelastic analysis of rotating functionally graded micro/nanodisks of variable thickness, ThinWalled Structures, Vol. 134, pp. 508523, 2019.##[8] S. Gopalakrishnan, S. Narendar, 2013, Wave Propagation in Nanostructures: Nonlocal Continuum Mechanics Formulations, Springer Science & Business Media,##[9] M. Hosseini, M. Shishesaz, K. N. Tahan, A. Hadi, Stress analysis of rotating nanodisks of variable thickness made of functionally graded materials, International Journal of Engineering Science, Vol. 109, pp. 2953, 2016.##[10] A. Hadi, M. Z. Nejad, M. Hosseini, Vibrations of threedimensionally graded nanobeams, International Journal of Engineering Science, Vol. 128, pp. 1223, 2018.##[11] M. Z. Nejad, A. Hadi, A. Farajpour, Consistent couplestress theory for free vibration analysis of EulerBernoulli nanobeams made of arbitrary bidirectional functionally graded materials, Structural Engineering and Mechanics, Vol. 63, No. 2, pp. 161169, 2017.##[12] M. Hosseini, H. H. Gorgani, M. Shishesaz, A. Hadi, Sizedependent stress analysis of singlewall carbon nanotube based on strain gradient theory, International Journal of Applied Mechanics, Vol. 9, No. 06, pp. 1750087, 2017.##[13] M. M. Adeli, A. Hadi, M. Hosseini, H. H. Gorgani, Torsional vibration of nanocone based on nonlocal strain gradient elasticity theory, The European Physical Journal Plus, Vol. 132, No. 9, pp. 393, 2017.##[14] A. Soleimani, K. Dastani, A. Hadi, M. H. Naei, Effect of outofplane defects on the postbuckling behavior of graphene sheets based on nonlocal elasticity theory, Steel and Composite Structures, Vol. 30, No. 6, pp. 517+, 2019.##[15] M. Z. Nejad, A. Hadi, A. Omidvari, A. Rastgoo, Bending analysis of bidirectional functionally graded EulerBernoulli nanobeams using integral form of Eringen's nonlocal elasticity theory, Structural Engineering and Mechanics, Vol. 67, No. 4, pp. 417425, 2018.##[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 MechanicsA/Solids, 2019.##[17] A. C. 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1

A comprehensive review on modeling of nanocomposite materials and structures
https://jcamech.ut.ac.ir/article_71701.html
10.22059/jcamech.2019.282388.405
1
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 wellknown 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 multiscale hybrid (MSH) nanocomposite ones will be reviewed and the most crucial highlights of the proposed scientific activities will be discussed.
0

197
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Farzad
Ebrahimi
Department of Mechanical Engineering, Faculty of Engineering, Imam Khomeini International University, Qazvin, Iran
Iran
febrahimy@gmail.com


Ali
Dabbagh
School of Mechanical Engineering, College of Engineering, University of Tehran, Tehran, Iran
Iran
alii.dabbagh@gmail.com
Nanocomposite materials
Carbon nanotube (CNT)
graphene
Graphene platelet
Graphene oxide
Multiscale hybrid nanocomposites
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