ORIGINAL_ARTICLE
Dielectrophoretic effect of nonuniform electric fields on the protoplast cell
In recent years, dielectrophoresis based microfluidics systems have been used to manipulate colloids, inert particles, and biological microparticles, such as red blood cells, white blood cells, platelets, cancer cells, bacteria, yeast, microorganisms, proteins, DNA, etc. In the current study the governing electric potential equations have been solved in the presence of cell for the purpose of studying particle-electric field dielectrophoretic interaction. Immersed Interface Method (IIM) which is a modified finite difference method is used to solve the governing 2D elliptic electrostatic equations with irregular boundaries. A neutral particle polarizes under the application of an electric field and causes local nonuniformity in electrostatic potential distribution. So cells experience electric stresses on its surface. The electric stress on cell surface is calculated by Maxwell Stress Tensor (MST) on both sides of cell. DEP force is calculated by integrating electric stress on particle surface. In the present study calculated electric stresses is validated by DEP force calculated using EDM method and exact solution. we neglect other electrokinetic effects such as electrophoresis and electro-osmosis. Electrophoresis can be neglected if the particles are not charged. The effect of applied voltage, dielectric constants of cells and cells orientation on particle-particle interaction force has been studied.
https://jcamech.ut.ac.ir/article_62115_415df6630b1840fe8d63b819d6329354.pdf
2017-06-01
1
14
10.22059/jcamech.2017.232261.139
Dielectrophoresis
protoplast cell
Maxwell stress tensor
Immersed Interface Method
Kia
Dastani
kia@ut.ac.ir
1
School of Mechanical Engineering, University of Tehran, Tehran, Iran
AUTHOR
Mahdi
Moghimi Zand
mahdimoghimi@ut.ac.ir
2
School of Mechanical Engineering, University of Tehran, Tehran, Iran
LEAD_AUTHOR
Amin
Hadi
mahdimoghimi@gmail.com
3
School of Mechanical Engineering, University of Tehran, Tehran, Iran
AUTHOR
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[21] Y. Liu, W. K. Liu, T. Belytschko, N. Patankar, A. C. To, A. Kopacz, J. H. Chung, Immersed electrokinetic finite element method, International Journal for Numerical Methods in Engineering, Vol. 71, No. 4, pp. 379-405, 2007.
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[25] J. Miyakoshi, Effects of static magnetic fields at the cellular level, Progress in biophysics and molecular biology, Vol. 87, No. 2, pp. 213-223, 2005.
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[26] T. Sakurai, S. Terashima, J. Miyakoshi, Effects of strong static magnetic fields used in magnetic resonance imaging on insulin‐secreting cells, Bioelectromagnetics, Vol. 30, No. 1, pp. 1-8, 2009.
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[27] S. Di, Z. Tian, A. Qian, J. Li, J. Wu, Z. Wang, D. Zhang, D. Yin, M. L. Brandi, P. Shang, Large gradient high magnetic field affects FLG29. 1 cells differentiation to form osteoclast-like cells, International journal of radiation biology, Vol. 88, No. 11, pp. 806-813, 2012.
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[30] M. Mohammadi, A. Farajpour, M. Goodarzi, R. Heydarshenas, Levy type solution for nonlocal thermo-mechanical vibration of orthotropic mono-layer graphene sheet embedded in an elastic medium, Journal of Solid Mechanics, Vol. 5, No. 2, pp. 116-132, 2013.
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[34] M. R. Hossan, R. Dillon, A. K. Roy, P. Dutta, Modeling and simulation of dielectrophoretic particle–particle interactions and assembly, Journal of colloid and interface science, Vol. 394, pp. 619-629, 2013.
34
[35] I. Isaac Hosseini, and M. Moghimi Zand, Optimized Microstructure for Single Cell Trapping Utilizing Contactless Dielectrophoresis, Journal of Thermal Engineering, in press.
35
[36] M. Shiri, M. Moghimi Zand, Design and simulation of a novel motile sperm separation microfluidic system by use of electrophoresis, Sharif Journal, in press.
36
ORIGINAL_ARTICLE
Transient thermoelastic analysis of FGM rotating thick cylindrical pressure vessels under arbitrary boundary and initial conditions
Assuming arbitrary boundary and initial conditions, a transient thermo-elastic analysis of a rotating thick cylindrical pressure vessel made of functionally graded material (FGM) subjected to axisymmetric mechanical and transient thermal loads is presented. Time-dependent thermal and mechanical boundary conditions are assumed to act on the boundaries of the vessel. Material properties of the vessel are assumed to be graded in the radial direction according to a power law function. The Poisson’s ratio is assumed to be constant. Method of separation of variables has been used to analytically calculate the time dependent temperature distribution as a function of radial direction. In a case study, the distribution of radial and hoop stresses along the thickness is derived and plotted. In order to validate the model, the analytical results have been compared with finite element method modeling results presented in literature. Any arbitrary boundary and initial conditions can be handled using the equations derived in the present research. In order to investigate the inhomogeneity effect on time dependent stress distribution and displacements, values of the parameters have been set arbitrary in the present study. To the best of the authors’ knowledge, in previous researches, transient thermo-elastic analysis of thick cylindrical FGM pressure vessels is investigated by numerical methods, while in the present research, an exact solution is derived for the same problem.
https://jcamech.ut.ac.ir/article_62116_8ce986078da67de5ef47b4294e28afab.pdf
2017-06-01
15
26
10.22059/jcamech.2017.233643.144
Thick cylindrical pressure vessel
Functionally graded Material (FGM)
Transient thermo-elastic
Azam
Afshin
azamafshin@gmail.com
1
Mechanical Engineering Department, Yasouj University, P.O.Box: 75914-353, Yasouj, Iran
AUTHOR
Mohammad
Zamani Nejad
m_zamani@yu.ac.ir
2
Mechanical Engineering Department, Yasouj University, Yasouj, Iran
LEAD_AUTHOR
Kia
Dastani
kia.dastani@ut.ac.ir
3
School of Mechanical Engineering, College of Engineering, University of Tehran, Tehran, Iran
AUTHOR
[1] M. Yamanouchi, M. Koizumi, T. Hirai, I. Shiota, FGM-90, in Proceeding of.
1
[2] A. H. Sofiyev, Influences of shear stresses on the dynamic instability of exponentially graded sandwich cylindrical shells, Composites Part B: Engineering, Vol. 77, pp. 349-362, 2015.
2
[3] M. Ghannad, G. H. Rahimi, M. Z. Nejad, Elastic analysis of pressurized thick cylindrical shells with variable thickness made of functionally graded materials, Composites Part B: Engineering, Vol. 45, No. 1, pp. 388-396, 2013.
3
[4] M. Zamani Nejad, A. Afshin, Transient thermoelastic analysis of pressurized rotating disks subjected to arbitrary boundary and initial conditions, Chinese Journal of Engineering, Vol. 2014, 2014.
4
[5] M. Z. Nejad, M. D. Kashkoli, Time-dependent thermo-creep analysis of rotating FGM thick-walled cylindrical pressure vessels under heat flux, International Journal of Engineering Science, Vol. 82, pp. 222-237, 2014.
5
[6] M. Z. Nejad, A. Rastgoo, A. Hadi, Effect of exponentially-varying properties on displacements and stresses in pressurized functionally graded thick spherical shells with using iterative technique, Journal of Solid Mechanics, Vol. 6, No. 4, pp. 366-377, 2014.
6
[7] M. Z. Nejad, A. Rastgoo, A. Hadi, Exact elasto-plastic analysis of rotating disks made of functionally graded materials, International Journal of Engineering Science, Vol. 85, pp. 47-57, 2014.
7
[8] M. Z. Nejad, P. Fatehi, Exact elasto-plastic analysis of rotating thick-walled cylindrical pressure vessels made of functionally graded materials, International Journal of Engineering Science, Vol. 86, pp. 26-43, 2015.
8
[9] M. Jabbari, M. Z. Nejad, M. Ghannad, Thermo-elastic analysis of axially functionally graded rotating thick cylindrical pressure vessels with variable thickness under mechanical loading, International journal of engineering science, Vol. 96, pp. 1-18, 2015.
9
[10] M. Z. Nejad, M. Jabbari, M. Ghannad, Elastic analysis of FGM rotating thick truncated conical shells with axially-varying properties under non-uniform pressure loading, Composite Structures, Vol. 122, pp. 561-569, 2015.
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[11] Z. H. Jin, An asymptotic solution of temperature field in a strip a functionally graded material, International communications in heat and mass transfer, Vol. 29, No. 7, pp. 887-895, 2002.
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[12] Y. Ootao, Y. Tanigawa, Transient thermoelastic problem of functionally graded thick strip due to nonuniform heat supply, Composite Structures, Vol. 63, No. 2, pp. 139-146, 2004.
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[13] N. A. Apetre, B. V. Sankar, D. R. Ambur, Low-velocity impact response of sandwich beams with functionally graded core, International Journal of Solids and Structures, Vol. 43, No. 9, pp. 2479-2496, 2006.
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[14] B. V. Sankar, An elasticity solution for functionally graded beams, Composites Science and Technology, Vol. 61, No. 5, pp. 689-696, 2001.
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[15] J. R. Cho, J. T. Oden, Functionally graded material: a parametric study on thermal-stress characteristics using the Crank–Nicolson–Galerkin scheme, Computer methods in applied mechanics and engineering, Vol. 188, No. 1, pp. 17-38, 2000.
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[16] M. Bahraminasab, B. B. Sahari, K. L. Edwards, F. Farahmand, T. S. Hong, M. Arumugam, A. Jahan, Multi-objective design optimization of functionally graded material for the femoral component of a total knee replacement, Materials & Design, Vol. 53, pp. 159-173, 2014.
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[17] F. Tornabene, A. Ceruti, Mixed static and dynamic optimization of four-parameter functionally graded completely doubly curved and degenerate shells and panels using GDQ method, Mathematical Problems in Engineering, Vol. 2013, 2013.
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[18] P. Shanmugavel, G. B. Bhaskar, M. Chandrasekaran, S. P. Srinivasan, Determination of Stress Intensity Factors and Fatigue Characteristics for Aluminium, Aluminium-Alumina Composite Material and Aluminium-Alumina FGM Specimens with Edge Crack by Simulation, International Journal of Applied Environmental Sciences, Vol. 9, No. 4, pp. 1759-1768, 2014.
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[19] S. Bhattacharya, K. Sharma, V. Sonkar, Numerical simulation of elastic plastic fatigue crack growth in functionally graded material using the extended finite element method, Mechanics of Advanced Materials and Structures, pp. 1-14, 2017.
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[20] M. Pant, K. Sharma, S. Bhattacharya, Application of EFGM and XFEM for Fatigue Crack growth Analysis of Functionally Graded Materials, Procedia Engineering, Vol. 173, pp. 1231-1238, 2017.
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[21] K. Sharma, S. Bhattacharya, V. Sonkar, XFEM simulation on Mixed-Mode Fatigue Crack Growth of Functionally Graded Materials, Journal of Mechanical Engineering and Biomechanics, Vol. 1, 2016.
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[22] B. Gupta, Few Studies on Biomedical Applications of Functionally Graded Material.
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[23] S. Mohammadi, M. Z. Nejad, A. Afshin, Transient Thermoelastic Analysis of Pressurized Thick Spheres Subjected to Arbitrary Boundary and Initial Conditions, Indian Journal of Science and Technology, Vol. 8, No. 36, 2015.
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[24] X. Han, D. Xu, G. R. Liu, Transient responses in a functionally graded cylindrical shell to a point load, Journal of Sound and Vibration, Vol. 251, No. 5, pp. 783-805, 2002.
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[25] K. S. Kim, N. Noda, Green's function approach to unsteady thermal stresses in an infinite hollow cylinder of functionally graded material, Acta Mechanica, Vol. 156, No. 3-4, pp. 145-161, 2002.
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[26] C. H. Chen, H. Awaji, Transient and residual stresses in a hollow cylinder of functionally graded materials, in Proceeding of, Trans Tech Publ, pp. 665-670.
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[27] K. M. Liew, S. Kitipornchai, X. Z. Zhang, C. W. Lim, Analysis of the thermal stress behaviour of functionally graded hollow circular cylinders, International Journal of Solids and Structures, Vol. 40, No. 10, pp. 2355-2380, 2003.
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[28] Y. Ootao, Y. Tanigawa, Three-dimensional solution for transient thermal stresses of functionally graded rectangular plate due to nonuniform heat supply, International Journal of Mechanical Sciences, Vol. 47, No. 11, pp. 1769-1788, 2005.
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[29] Y. Heydarpour, M. M. Aghdam, Transient analysis of rotating functionally graded truncated conical shells based on the Lord–Shulman model, Thin-Walled Structures, Vol. 104, pp. 168-184, 2016.
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[30] K. C. Mishra, J. N. Sharma, P. K. Sharma, Analysis of vibrations in a nonhomogeneous thermoelastic thin annular disk under dynamic pressure, Mechanics Based Design of Structures and Machines, Vol. 45, No. 2, pp. 207-218, 2017.
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[31] M. Ghannad, M. P. Yaghoobi, 2D thermo elastic behavior of a FG cylinder under thermomechanical loads using a first order temperature theory, International Journal of Pressure Vessels and Piping, Vol. 149, pp. 75-92, 2017.
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[32] A. Najibi, R. Talebitooti, Nonlinear transient thermo-elastic analysis of a 2D-FGM thick hollow finite length cylinder, Composites Part B: Engineering, Vol. 111, pp. 211-227, 2017.
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[33] S. M. Hosseini, M. Akhlaghi, M. Shakeri, Transient heat conduction in functionally graded thick hollow cylinders by analytical method, Heat and Mass Transfer, Vol. 43, No. 7, pp. 669-675, 2007.
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[34] M. Jabbari, A. R. Vaghari, A. Bahtui, M. R. Eslami, Exact solution for asymmetric transient thermal and mechanical stresses in FGM hollow cylinders with heat source, Structural Engineering and Mechanics, Vol. 29, No. 5, pp. 551-565, 2008.
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[35] M. Shariyat, A rapidly convergent nonlinear transfinite element procedure for transient thermoelastic analysis of temperature-dependent functionally graded cylinders, Journal of Solid Mechanics, Vol. 1, No. 4, pp. 313-327, 2009.
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[36] M. Azadi, M. Azadi, Nonlinear transient heat transfer and thermoelastic analysis of thick-walled FGM cylinder with temperature-dependent material properties using Hermitian transfinite element, Journal of Mechanical Science and Technology, Vol. 23, No. 10, pp. 2635-2644, 2009.
36
ORIGINAL_ARTICLE
Stiffness control of a legged robot equipped with a serial manipulator in stance phase
The ability to perform different tasks by a serial manipulator mounted on legged robots, increases the capabilities of the robot. The position/force control problem of such a robot in the stance phase with point contacts on the ground is investigated here. A target plane with known stiffness is specified in the workspace. Active joints of the legs and serial manipulator are used to exert the desired normal force on the plane while tracking a desired trajectory on the plane. First, the equations of motion of the robot and contact forces of the feet on the ground are derived. A controller is then proposed which tracks the desired trajectory while keeping the feet contacts on the ground and prevent slipping. An optimization problem is solved in each control loop to minimize the actuation effort. This minimization is subject to position tracking for the end-effector (using inverse dynamics controller), force requirements of the feet contacts with the ground, and actuators capabilities. Simulations are conducted for the simplified model of a quadruped robot with a 2-DOF serial manipulator. To test the controller, a 20 N normal force is applied onto the target plane while moving the tip of the end-effector. It is shown that the robot can perform the task effectively without losing the ground contact and slipping.
https://jcamech.ut.ac.ir/article_62117_8ab5133617b561343cdc7a1ddf889be6.pdf
2017-06-01
27
38
10.22059/jcamech.2017.232721.141
Legged robots
Stiffness control
Minimum effort
Contact forces
Serial manipulator
Mohammad
Lavaei
lavaei.mr@ut.ac.ir
1
Center for Mechatronics and Intelligent Machines, School of Mechanical Engineering, College of Engineering, University of Tehran, Tehran, Iran
AUTHOR
Mohammad
Mahjoob
mmahjoob@ut.ac.ir
2
School of Mechanical Engineering, College of Engineering, University of Tehran Tehran, Iran
LEAD_AUTHOR
Amir
Behjat
amir1367427@yahoo.com
3
Center for Mechatronics and Intelligent Machines, School of Mechanical Engineering, College of Engineering, University of Tehran, Tehran, Iran
AUTHOR
[1] J. Salisbury, “Active stiffness control of a manipulator in cartesian coordinates,” in Proc. IEEE Conf. on Decision and Control (CDC), 1980, vol. 19, pp. 95–100.
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[2] F. L. Lewis, D. M. Dawson, and C. T. Abdallah, Robot Manipulator Control: Theory and Practice. Taylor & Francis, 2003.
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[5] Q. Huang and R. Enomoto, “Hybrid position, posture, force and moment control of robot manipulators,” 2008 IEEE Int. Conf. Robot. Biomimetics, ROBIO 2008, no. 1, pp. 1444–1450, 2008.
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[6] A. C. Leite, F. Lizarralde, and Liu Hsu, “A cascaded-based hybrid position-force control for robot manipulators with nonnegligible dynamics,” Proc. 2010 Am. Control Conf., pp. 5260–5265, 2010.
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[8] M. Mistry, J. Buchli, and S. Schaal, “Inverse dynamics control of floating base systems using orthogonal decomposition,” 2010 IEEE Int. Conf. Robot. Autom., no. 3, pp. 3406–3412, 2010.
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[15] L. Righetti, M. Kalakrishnan, P. Pastor, J. Binney, J. Kelly, R. C. Voorhies, G. S. Sukhatme, and S. Schaal, “An autonomous manipulation system based on force control and optimization,” Auton. Robots, vol. 36, no. 1–2, pp. 11–30, 2014.
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[19] P. V Nagy, S. Desa, and W. L. Whittaker, “Energy-based stability measures for reliable locomotion of statically stable walkers: Theory and application,” Int. J. Rob. Res., vol. 13, no. 3, pp. 272–287, 1994.
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[21] S. Zhang, J. Gao, X. Duan, H. Li, Z. Yu, X. Chen, J. Li, H. Liu, X. Li, Y. Liu, and Z. Xu, “Trot pattern generation for quadruped robot based on the ZMP stability margin,” 2013 ICME Int. Conf. Complex Med. Eng. C. 2013, pp. 608–613, 2013.
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28
ORIGINAL_ARTICLE
Predicting Low Cycle Fatigue Life through Simulation of Crack in Cover Plate Welded Beam to Column Connections
This paper presents a low cycle fatigue life curve by simulating a crack in a cover plate welded moment connection. Initiation of ductile fracture in steel is controlled by growth and coalescence of micro-voids. This research used a numerical method using finite element modeling and simulation of ductile crack initiation by a micromechanical model. Therefore, a finite element model of a cover plate welded moment connection was developed in ABAQUS software, and a FORTRAN subroutine was used in order to simulate cracking in the connection model. Thus, each crack location and the number of cycles to initiate the crack were detected. Utilizing cyclic void micromechanical model of growth analysis, which is a technique to predict fracture in a ductile material, six different cover plate connections (divided in three categories) were modeled in the steel moment frame, and then their critical points to trigger the crack were identified. Finally, for the cover plate moment connection, considering the constant amplitude of loading curves data and in order to present the low cycle fatigue life prediction, displacement versus the number of half cycles diagram is produced.
https://jcamech.ut.ac.ir/article_62118_1ab07f9a8782e2e900269ed320115ef7.pdf
2017-06-01
39
52
10.22059/jcamech.2017.231083.134
Low cycle fatigue
Cyclic void growth modeling
Cyclic Loading
Cover plate moment connection
Mehdi
Ghassemieh
m.ghassemieh@ut.ac.ir
1
School of Civil Engineering, University of Tehran, Tehran, Iran
LEAD_AUTHOR
Moein
Rezapour
moein.rezapour@ut.ac.ir
2
School of Civil Engineering, University of Tehran, Tehran, Iran
AUTHOR
Ashkan
Taghinia
ashkan2910@gmail.com
3
School of Civil Engineering, University of Tehran, Tehran, Iran
AUTHOR
[1] Kaufmann, E., Fisher, J., Di. Julio, R., Gross, J., 1997, “Failure analysis of welded steel moment frames damaged in the Northridge earthquake”. Gaithersburg, Md: NISTIR, 5944.
1
[2] Kanvinde, A. M., 2004, “Micromechanical simulation of earthquake-induced fracture in steel structures”, Ph.D. Thesis, Stanford University.
2
[3] Iyama, J., Ricles, J. M., 2009, “Prediction of fatigue life of welded beam-to-column connections under earthquake loading”. Journal of structural engineering, 135(12), pp. 1472-1480.
3
[4] Rice, J. R., Tracey, D. M., 1969, “On the ductile enlargement of voids in triaxial stress fields”. Journal of the Mechanics and Physics of Solids, 17(3), pp. 201-217.
4
[5] Kanvinde, A., Deierlein, G., 2007 “Cyclic void growth model to assess ductile fracture initiation in structural steels due to ultra low cycle fatigue”. Journal of engineering mechanics, 133(6), pp. 701-712.
5
[6] Fell, B. V., 2008, “Large-scale testing and simulation of earthquake-induced ultra low cycle fatigue in bracing members subjected to cyclic inelastic buckling”. University of California.
6
[7] Ajaei,B., Ghassemieh, M., 2015, “Reinforcing fillet welds preventing cracks in partial joint penetration welds”. International Journal of Steel Structures, 15(2), pp. 487-497.
7
[8] Ajaei, B., Ghassemieh, M., 2013, “Applicability of damage indices for detection of cracking in steel moment connections”. Journal of Rehabilitation in Civil Engineering, 1(2), pp. 1-9.
8
[9] Lim, C., Choi, W., Sumner, E. A., 2012, “Low cycle fatigue life prediction using a four-bolt extended unstiffened end plate moment connection”. Engineering Structures, 41, pp. 373-384.
9
[10] Amiri, H., Aghakouchak, A., Shahbeyk, S., Engelhardt, M., 2013, “Finite element simulation of ultra low cycle fatigue cracking in steel structures”. Journal of Constructional Steel Research, 89, pp. 175-184.
10
[11] Zhou, H., Wang, Y., Yang, L., Shi, Y., 2014, “Seismic low-cycle fatigue evaluation of welded beam-to-column connections in steel moment frames through global–local analysis”. International Journal of Fatigue, 64, pp. 97-113.
11
[12] Bai, Y., Kurata, M., Flórez-López, J. and Nakashima, M., 2016. “Macro-modeling of Crack Damage in Steel Beams Subjected to Nonstationary Low Cycle Fatigue”. Journal of Structural Engineering, 142(10), p.04016076.
12
[13] Liu, Y., Jia, L.J., Ge, H., Kato, T. and Ikai, T., 2017. “Ductile-fatigue transition fracture mode of welded T-joints under quasi-static cyclic large plastic strain loading”. Engineering Fracture Mechanics, 176, pp.38-60.
13
[14] Pereira, J., de Jesus, A., Xavier, J., Fernandes, A., 2014, “Ultra low-cycle fatigue behavior of a structural steel”. Engineering Structures, 60, pp. 214-222.
14
[15] Ermelj, B., Moe, P., Sinur, F., 2016, “On the prediction of low-cycle fatigue in steel welded beam-to-column joints”. Journal of Constructional Steel Research, 117, pp. 49-63.
15
[16] Liao, F., Wang, W., Chen, Y., 2015, “Ductile fracture prediction for welded steel connections under monotonic loading based on micromechanical fracture criteria”. Engineering Structures, 94, pp. 16-28.
16
[17] Tong, L., Huang, X., Zhou, F., Chen, Y., 2016, “Experimental and numerical investigations on extremely-low-cycle fatigue fracture behavior of steel welded joints”. Journal of Constructional Steel Research, 119, pp. 98-112.
17
[18] Lemaitre, J.,Chaboche, L., 1990, “Mechanics of Solid Materials”, Cambridge University Press.
18
[19] Nia, Z. S., Mazroi, A., Ghassemieh, M., 2014, “Cyclic performance of flange-plate connection to box column with finger shaped plate”. Journal of Constructional Steel Research, 101, pp. 207-223.
19
[20] AISC., 2005, AISC 341-05. “Seismic provisions for structural steel buildings”. Chicago (IL): American Institute of Steel Construction.
20
[21] Correa, S. R., de Campos, M. F., Marcelo, C., de Castro, J. A., Fonseca, M. C., Chuvas, T., Padovese, L. R., 2016, “Evaluation of Residual Stresses in Welded ASTM A36 Structural Steel by Metal Active Gas (MAG) Welding Process”. Paper presented at the Materials Science Forum.2.3023
21
ORIGINAL_ARTICLE
Multi objective optimization of the vibration analysis of composite natural gas pipelines in nonlinear thermal and humidity environment under non-uniform magnetic field
The fluid-conveying pipe is a fundamental dynamical problem in the field of fluid– structure interactions. In recent years considerable attention has been given to the lateral vibrations of pipes containing by a moving fluid. In this paper, the vibration analysis of composite natural gas pipeline in the thermal and humidity environment is studied. The effect of the non-uniform magnetic field is investigated. By applying the Hamilton’s principle, the equation of motion is derived for the pipe with the effects of both linear and non-linear stress temperature cases. The differential quadrature method (DQM) has been utilized in computing the results for the pipe conveying fluid. The Bees algorithm and Genetic algorithm NSGA II for multi-objective optimization of a pipe model are used. Sample results are presented for several cases with varying values of the system parameter. Results are demonstrated for the dependence of natural frequencies on the flow velocity as well as temperature change and humidity percent. The influence of temperature change on the critical flow velocity at which buckling instability occurs is investigated. It is concluded that the effect of temperature change on the instability of conveyed fluid pipe is significant.
https://jcamech.ut.ac.ir/article_62119_1ecf08f0a3f8e7b745efe09997a93485.pdf
2017-06-01
53
64
10.22059/jcamech.2017.232927.142
Composite pipes
Fluid-induced vibration
Thermal load
Humidity environment, Multi objective optimization, Magnetic field
Abbas
Moradi
a.moradi64@gmail.com
1
Department of Mechanical, Ahvaz Branch, Islamic Azad University, Ahvaz, Iran
LEAD_AUTHOR
Hesam
Makvandi
h-makvandi@phdstu.scu.ac.ir
2
Department of Mechanical engineering, Abadan Branch, Islamic Azad University, Abadan , Iran
AUTHOR
Iman
Bavarsad Salehpoor
iman.bssp@gmail.com
3
Department of Industrial Engineering, Amirkabir University of Technology, Tehran, Iran
AUTHOR
[1] M. H. Ghayesh, M. Amabili, Post-buckling bifurcations and stability of high-speed axially moving beams, International Journal of Mechanical Sciences, Vol. 68, pp. 76-91, 2013.
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[2] A. Arani, M. Maboudi, A. G. Arani, S. Amir, 2D-magnetic field and biaxiall in-plane pre-load effects on the vibration of double bonded orthotropic graphene sheets, J Solid Mech, Vol. 5, No. 2, pp. 193-205, 2013.
2
[3] S. Narendar, S. Gupta, S. Gopalakrishnan, Wave propagation in single-walled carbon nanotube under longitudinal magnetic field using nonlocal Euler–Bernoulli beam theory, Applied Mathematical Modelling, Vol. 36, No. 9, pp. 4529-4538, 2012.
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[7] P. Lu, L. He, H. Lee, C. Lu, Thin plate theory including surface effects, International Journal of Solids and Structures, Vol. 43, No. 16, pp. 4631-4647, 2006.
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[8] K. Kiani, Transverse wave propagation in elastically confined single-walled carbon nanotubes subjected to longitudinal magnetic fields using nonlocal elasticity models, Physica E: Low-dimensional Systems and Nanostructures, Vol. 45, pp. 86-96, 2012.
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[9] T. Murmu, M. McCarthy, S. Adhikari, In-plane magnetic field affected transverse vibration of embedded single-layer graphene sheets using equivalent nonlocal elasticity approach, Composite Structures, Vol. 96, pp. 57-63, 2013.
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[10] K. Deb, S. Agrawal, A. Pratap, T. Meyarivan, A fast elitist non-dominated sorting genetic algorithm for multi-objective optimization: NSGA-II, in Proceeding of, Springer, pp. 849-858.
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[11] D. Pham, A. Ghanbarzadeh, E. Koc, S. Otri, S. Rahim, M. Zaidi, The bees algorithm-A novel tool for complex optimisation, in Proceeding of, sn, pp.
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[12] D. Pham, A. Ghanbarzadeh, Multi-objective optimisation using the bees algorithm, in Proceeding of.
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[13] G. Zou, N. Cheraghi, F. Taheri, Fluid-induced vibration of composite natural gas pipelines, International journal of solids and structures, Vol. 42, No. 3, pp. 1253-1268, 2005.
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[14] T. Je¸ kot, Nonlinear problems of thermal postbuckling of a beam, Journal of Thermal Stresses, Vol. 19, No. 4, pp. 359-367, 1996.
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[15] M. Mohammadi, M. Ghayour, A. Farajpour, Free transverse vibration analysis of circular and annular graphene sheets with various boundary conditions using the nonlocal continuum plate model, Composites Part B: Engineering, Vol. 45, No. 1, pp. 32-42, 2013.
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[16] M. Mohammadi, M. Goodarzi, M. Ghayour, S. Alivand, Small scale effect on the vibration of orthotropic plates embedded in an elastic medium and under biaxial in-plane pre-load via nonlocal elasticity theory, 2012.
16
[17] M. Mohammadi, A. Farajpour, M. Goodarzi, 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, Vol. 82, pp. 510-520, 2014.
17
[18] H. Asemi, S. Asemi, A. Farajpour, M. Mohammadi, Nanoscale mass detection based on vibrating piezoelectric ultrathin films under thermo-electro-mechanical loads, Physica E: Low-dimensional Systems and Nanostructures, Vol. 68, pp. 112-122, 2015.
18
[19] S. Asemi, A. Farajpour, H. Asemi, M. Mohammadi, Influence of initial stress on the vibration of double-piezoelectric-nanoplate systems with various boundary conditions using DQM, Physica E: Low-dimensional Systems and Nanostructures, Vol. 63, pp. 169-179, 2014.
19
[20] M. Mohammadi, A. Farajpour, M. Goodarzi, F. Dinari, Thermo-mechanical vibration analysis of annular and circular graphene sheet embedded in an elastic medium, Latin American Journal of Solids and Structures, Vol. 11, No. 4, pp. 659-682, 2014.
20
[21] M. Mohammadi, A. Farajpour, M. Goodarzi, R. Heydarshenas, Levy type solution for nonlocal thermo-mechanical vibration of orthotropic mono-layer graphene sheet embedded in an elastic medium, Journal of Solid Mechanics, Vol. 5, No. 2, pp. 116-132, 2013.
21
[22] M. Mohammadi, M. Ghayour, A. Farajpour, Analysis of free vibration sector plate based on elastic medium by using new version differential quadrature method, Journal of solid mechanics in engineering, Vol. 3, No. 2, pp. 47-56, 2011.
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[23] M. Safarabadi, M. Mohammadi, A. Farajpour, M. Goodarzi, Effect of surface energy on the vibration analysis of rotating nanobeam, Journal of Solid Mechanics, Vol. 7, No. 3, pp. 299-311, 2015.
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[24] A. Farajpour, M. H. Yazdi, A. Rastgoo, M. Mohammadi, A higher-order nonlocal strain gradient plate model for buckling of orthotropic nanoplates in thermal environment, Acta Mechanica, Vol. 227, No. 7, pp. 1849-1867, 2016.
24
[25] M. Mohammadi, M. Safarabadi, A. Rastgoo, A. Farajpour, Hygro-mechanical vibration analysis of a rotating viscoelastic nanobeam embedded in a visco-Pasternak elastic medium and in a nonlinear thermal environment, Acta Mechanica, Vol. 227, No. 8, pp. 2207-2232, 2016.
25
[26] M. Goodarzi, M. Mohammadi, A. Farajpour, M. Khooran, Investigation of the effect of pre-stressed on vibration frequency of rectangular nanoplate based on a visco pasternak foundation, Journal of Solid Mechanics, Vol. 6, pp. 98-121, 2014.
26
[27] S. R. Asemi, M. Mohammadi, A. Farajpour, A study on the nonlinear stability of orthotropic single-layered graphene sheet based on nonlocal elasticity theory, Latin American Journal of Solids and Structures, Vol. 11, No. 9, pp. 1515-1540, 2014.
27
[28] M. Mohammadi, A. Farajpour, M. Goodarzi, H. Mohammadi, Temperature effect on vibration analysis of annular graphene sheet embedded on visco-pasternak foundation, J. Solid Mech, Vol. 5, pp. 305-323, 2013.
28
[29] M. Goodarzi, M. Mohammadi, M. Khooran, F. Saadi, Thermo-Mechanical Vibration Analysis of FG Circular and Annular Nanoplate Based on the Visco-Pasternak Foundation, Journal of Solid Mechanics Vol, Vol. 8, No. 4, pp. 788-805, 2016.
29
[30] M. R. Farajpour, A. Rastgoo, A. Farajpour, M. Mohammadi, Vibration of piezoelectric nanofilm-based electromechanical sensors via higher-order non-local strain gradient theory, Micro & Nano Letters, Vol. 11, No. 6, pp. 302-307, 2016.
30
[31] 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, 2017.
31
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[33] C. M. Fonseca, P. J. Fleming, Genetic Algorithms for Multiobjective Optimization: FormulationDiscussion and Generalization, in Proceeding of, Citeseer, pp. 416-423.
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[34] J. Horn, N. Nafpliotis, D. E. Goldberg, A niched Pareto genetic algorithm for multiobjective optimization, in Proceeding of, Ieee, pp. 82-87.
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[35] J. Knowles, D. Corne, The pareto archived evolution strategy: A new baseline algorithm for pareto multiobjective optimisation, in Proceeding of, IEEE, pp. 98-105.
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[37] K. Deb, J. Sundar, Reference point based multi-objective optimization using evolutionary algorithms, in Proceeding of, ACM, pp. 635-642.
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[38] Moradi A, Shirazi KH, Keshavarz M, Falehi AD, Moradi M. Smart piezoelectric patch in non-linear beam: design, vibration control and optimal location. Transactions of the Institute of Measurement and Control. 2014 Feb;36(1):131-44.
38
ORIGINAL_ARTICLE
Parametric study of a viscoelastic RANS turbulence model in the fully developed channel flow
One of the newest of viscoelastic RANS turbulence models for drag reducing channel flow with polymer additives is studied in different flow and rheological properties. In this model, finitely extensible nonlinear elastic-Peterlin (FENE-P) constitutive model is used to describe the viscoelastic effect of polymer solution and turbulence model is developed in the k-ϵ-(ν^2 ) ̅-f framework. The geometry in this study is two-dimensional channel flow and finite volume method (FVM) with a non-uniform collocated mesh is used to solve the momentum and constitutive equations. In order to evaluate this turbulence model, several cases with different parameters such as Reynolds numbers, Weissenberg number, maximum polymer extensibility and concentration of polymer are simulated and assessed against direct numerical simulation (DNS) data. The velocity profiles, shear stress profiles and the percentage of friction drag reduction predicted by this turbulence model are in good agreement with DNS data at moderate to high Reynolds numbers. However, in low Reynolds numbers, the results of model are reliable only for low 〖 L〗^2 value. Moreover, in case of high concentration of polymer, the accuracy of the model is lost.
https://jcamech.ut.ac.ir/article_62120_9dad0959f981d6dc86193ee9b634d975.pdf
2017-06-01
65
74
10.22059/jcamech.2017.232031.138
drag reduction
FENE-P Fluid
Polymer Additives
Turbulent Flow
Viscoelastic RANS Model
Saber
Azad
saber.azad@ut.ac.ir
1
Department of Mechanical Engineering, University of Tehran, Tehran, Iran
AUTHOR
Alireza
Riasi
ariasi@ut.ac.ir
2
University of Tehran
LEAD_AUTHOR
Hossein
Mahmoodi darian
hmahmoodi@ut.ac.ir
3
university of tehran
AUTHOR
Hamed
Amiri Moghadam
hamed_am_92@yahoo.com
4
University of Tehran
AUTHOR
[1] Virk P. S., 1975, Drag reduction fundamentals, AIChE Journal, 21(4): 625-656.
1
[2] White C. M., Mungal M. G., 2008, Mechanics and prediction of turbulent drag reduction with polymer additives, Annu. Rev. Fluid Mech 40: 235-256.
2
[3] Ptasinski P. K., Boersma B.J., Nieuwstadt F. T. M., Hulsen M.A., Van den Brule B. H. A. A., Hunt J. C. R., 2003, Turbulent channel flow near maximum drag reduction: simulations, experiments and mechanisms, Journal of Fluid Mechanics 490: 251-291.
3
[4] Min T., Yoo J. Y., Choi H., Joseph D. D., 2003, Drag reduction by polymer additives in a turbulent channel flow, Journal of Fluid Mechanics 486: 213-238.
4
[5] Li C. F., Sureshkumar R., Khomami B., 2006, Influence of rheological parameters on polymer induced turbulent drag reduction, Journal of Non-Newtonian Fluid Mechanics 140(1): 23-40.
5
[6] Thais L., Gatski T. B., Mompean G., 2012, Some dynamical features of the turbulent flow of a viscoelastic fluid for reduced drag, Journal of Turbulence 13(19): 1-26.
6
[7] Thais L., Gatski T.B., Mompean G., 2013, Analysis of polymer drag reduction mechanisms from energy budgets, International Journal of Heat and Fluid Flow 43: 52-61.
7
[8] Pinho F.T., 2003, A GNF framework for turbulent flow models of drag reducing fluids and proposal for a k–ε type closure, Journal of Non-Newtonian Fluid Mechanics 114(2): 149-184.
8
[9] Pinho F. T., Li, C. F., Younis B. A., Sureshkumar R., 2008, A low Reynolds number turbulence closure for viscoelastic fluids, Journal of Non-Newtonian Fluid Mechanics 154(2): 89-108.
9
[10] Resende P. R., Pinho F. T., Younis B. A., Kim K., Sureshkumar R., 2013, Development of a Low-Reynolds-number k-ω Model for FENE-P Fluids, Flow, turbulence and combustion 90(1): 69-94.
10
[11] Iaccarino G., Shaqfeh E. S., Dubief Y., 2010, Reynolds-averaged modeling of polymer drag reduction in turbulent flows, Journal of Non-Newtonian Fluid Mechanics 165(7): 376-384.
11
[12] Thais L., Tejada-Martinez A. E., Gatski T. B., Mompean G., 2010, Temporal large eddy simulations of turbulent viscoelastic drag reduction flows. Physics of Fluids 22(1): 013103.
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[13] Durbin P. A., 1995, Separated flow computations with the k-epsilon-v-squared model, AIAA journal 33(4): 659-664.
13
[14] Masoudian M., Kim K., Pinho F.T., Sureshkumar R., 2013, A viscoelastic turbulent flow model valid up to the maximum drag reduction limit, Journal of Non-Newtonian Fluid Mechanics 202: 99-111.
14
[15] Bird R.B., Curtiss C.F., Amstrong R.C., Hassager O., 1987, Dynamics of Polymeric Fluids, John Wiley & Sons, New York, Second Edition.
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[16] Dean R.B., 1978, Reynolds number dependence of skin friction and other bulk flow variables in two-dimensional rectangular duct flow, J. Fluids Eng 100(2): 215-223.
16
ORIGINAL_ARTICLE
Updating finite element model using frequency domain decomposition method and bees algorithm
The following study deals with the updating the finite element model of structures using the operational modal analysis. The updating process uses an evolutionary optimization algorithm, namely bees algorithm which applies instinctive behavior of honeybees for finding food sources. To determine the uncertain updated parameters such as geometry and material properties of the structure, local and global sensitivity analyses have been performed. The sum of the squared errors between the natural frequencies obtained from operational modal analysis and the finite element method is used to define the objective function. The experimental natural frequencies are determined by frequency domain decomposition technique which is considered as an efficient operational modal analysis method. To verify the accuracy of the proposed algorithm, it is implemented on a three-story structure to update its finite element model. Moreover, to study the efficiency of bees algorithm, its results are compared with those particle swarm optimization and Nelder and Mead methods. The results show that this algorithm leads more accurate results with faster convergence. In addition, modal assurance criterion is calculated for updated finite element model and frequency domain decomposition technique. Moreover, finding the best locations of acceleration and shaker mounting in order to accurate experiments are explained.
https://jcamech.ut.ac.ir/article_62121_3138e353db6e6f54825d9221353b4d48.pdf
2017-06-01
75
88
10.22059/jcamech.2017.232619.140
Finite element model
operational modal analysis
frequency domain decomposition
bees algorithm
Sensitivity analysis
Pouyan
Alimouri
alimouri_p@yahoo.com
1
kiyanpars-12st avenue-no27
AUTHOR
Shapour
Moradi
moradis@scu.ac.ir
2
Shahid Chamran University of Ahwaz, Faculty of Engineering, Mechanical Engineering group.
LEAD_AUTHOR
Rahim
Chinipardaz
chinipardaz_r@scu.ac.ir
3
computer &mathematical sciences, chamran university, ahvaz
AUTHOR
[1] He J., Fu Z. F., 2001, Modal Analysis, Oxford, London, Firsted.
1
[2] Heylen W., Lammens S., Sas P., 1997, Modal Analysis Theory and Testing, K.U. Leuven, Belgium, First ed.
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[3] Brincker R., Zhang L., Andersen P., Modal identification from ambient responses using frequency domain decomposition, in 28th International Modal Analysis Conference, San Antonio, TX, USA, 2000.
3
[4] Cara .J. F, Juan.J, Alarco´n .E, Reynders .E, DeRoeck .G, Modal contribution and state space order selection in operational modal analysis, Mechanical Systems and Signal Processing, Vol. 38, No. 2, pp. 276–298, 2013.
4
[5] James G.H., Carne.T.G., Lauffer. P., The natural excitation technique (NExT) for modal parameter extraction from operating structures modal analysis, The International Journal of Analytical and Experimental Modal Analysis, Vol. 10, pp. 260-277, 1995.
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[6] Ibrahim S.R., Mikulcik. E.C., A method for direct identification of vibration parameters from the free response, Shock and Vibration Bulletin Vol. 47 No. 4, pp. 183-198, 1997.
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[7] Juang J.N., Pappa R.S., An eigensystem realization algorithm for modal parameter identificationand model reduction, Control and Dynamics Vol. 8, No. 4, pp. 620-627, 1985.
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[8] Van Overschee P., De Moor B., 1996, Subspace Identification for Linear Systems: Theory-Implementations-Applications, Kluwer Academic Publishers, Dordrecht-Netherlands
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[9] Allemang S., Brown D.L., A complete review of the complex mode indicator function (CMIF) with applications, in Proceeding of ISMA International Conference on Noise and Vibration Engineering, Belgium, 2006.
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[10] Magalhães F., Cunha A., Explaining operational modal analysis with data from an arch bridge, Mech. Syst. Signal Process, Vol. 25, No. 5, pp. 1431–1450, 2010.
10
[11] Zhang L., Wang T., Tamura Y., A frequency-spatial domain decomposition(FSDD) technique for operational modal analysis, Mech. Syst. Signal Process, Vol. 24, No. 5, pp. 1227–1239, 2010.
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[12] Pioldi.F, Ferrari.R, Rizzi.E, Output-only modal dynamic identification of frames by a refined FDD algorithm at seismic input and high damping, Mechanical Systemsand Signal Processing, Vol. 68, pp. 265–291, 2016.
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[13] Collins J.D, Hart G.C, Hasselman T.K, Kennedy B., Statistical identification of structures, AIAA Journal Vol. 12, pp. 185-190, 1974.
13
[14] Dunn S, Peucker S, Perry J, Genetic algorithm optimisation of mathematical models using distributed computing, Applied Intelligence, Vol. 23, pp. 21-32, 2005.
14
[15] Moradi S, Fatahi L, Razi P, Finite element model updating using bees algorithm, Structural and Multidisciplinary Optimization, Vol. 42, pp. 283-291, 2010.
15
[16] Malekzehtab H, Golafshani A.A, Damage detection in an offshore Jacket platform using genetic algorithm based finite element model updating with noisy modal data, Procedia Engineering, Vol. 54, 2013.
16
[17] Chouksey M., Dutt J.K., Modak S.V., Model updating of rotors supported on ball bearings and its application in response prediction and balancing, Measurement, Vol. 46, pp. 4261-4273, 2013.
17
[18] Moradi S., Alimouri P., Crack detection of plate using differential quadrature method, Mechanical Engineering Science, Vol. 227, No. 7, 2013.
18
[19] Torres W., Almazán J. L., Sandoval C., Boroschek R., Operational modal analysis and FE model updating of the Metropolitan Cathedral of Santiago, Chile, Engineering Structures, Vol. 143, pp. 169–188, 2017.
19
[20] Ebrahimi R, Esfahanian M, Ziaei-rad S, Vibration modeling and modification of cutting platform in a harvest combine by means of operational modal analysis (OMA), Measurement Vol. 46, pp. 3959-3967, 2013.
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[21] Pioldi F., Ferrari R., Rizzi E., A refined FDD algorithm for Operational Modal Analysis of buildings under earthquake loading, in Proceeding of the Conference on Noise and Vibration Engineering (ISMA2014),, Leuven,Belgium, 2014.
21
[22] Kennedy J., Eberhart RC., Particle swarm optimization, IEEE international journal on neural networks Vol. 4, pp. 1942–1948, 1995.
22
[23] Nelder J.A., Mead R., A simplex method for function minimization, Compute, Vol. 7, pp. 308-313, 1965.
23
ORIGINAL_ARTICLE
Elastic analysis of functionally graded rotating thick cylindrical pressure vessels with exponentially-varying properties using power series method of Frobenius
Based on the Frobenius series method, stresses analysis of the functionally graded rotating thick cylindrical pressure vessels (FGRTCPV) are examined. The vessel is considered in both plane stress and plane strain conditions. All of the cylindrical shell properties except the Poisson ratio are considered exponential function along the radial direction. The governing Navier equation for this problem is determined, by employing the principle of the two-dimensional elastic theories. This paper presents a closed-form analytical solution for the Navier equation of FGRTCPV as the novelty of the present paper. Moreover, a finite element (FE) model is developed for comparison with the results of the Frobenius series method. This comparison demonstrates that the results of the Frobenius series method are accurate. Finally, the effect of some parameters on stresses analysis of the FGRTCPV is examined. In order to investigate the inhomogeneity effect on the elastic analysis of functionally graded rotating thick cylindrical pressure vessels with exponentially-varying properties, values of the parameters have been set arbitrary in the present study. The presented outcomes illustrate that the inhomogeneity constant provides a major effect on the mechanical behaviors of the exponential FG thick cylindrical under pressure.
https://jcamech.ut.ac.ir/article_62122_127d3523a55cdfa45a53d650cad9e081.pdf
2017-06-01
89
98
10.22059/jcamech.2017.233633.143
Rotating thick cylinder
Pressure vessel
Functionally Graded Material
Exponentially
Power series method of Frobenius Introduction
Mahboobeh
Gharibi
m65.gharibi@gmail.com
1
Mechanical Engineering Department, Yasouj University, P. O. Box: 75914-353, Yasouj, Iran.
AUTHOR
Mohammad
Zamani Nejad
m_zamani@yu.ac.ir
2
Mechanical Engineering Department, Yasouj University, Yasouj, Iran
LEAD_AUTHOR
Amin
Hadi
hamin319@gmail.com
3
School of Mechanical Engineering, University of Tehran, Tehran, Iran.
AUTHOR
[1] K. Khorshidi, A. Bakhsheshy, Free Natural Frequency Analysis of an FG Composite Rectangular Plate Coupled with Fluid using Rayleigh–Ritz Method, Mechanics of Advanced Composite Structures, Vol. 1, No. 2, pp. 131-143, 2014.
1
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2
[3] A. Hadi, A. Rastgoo, A. Daneshmehr, F. Ehsani, Stress and strain analysis of functionally graded rectangular plate with exponentially varying properties, Indian Journal of Materials Science, Vol. 2013, 2013.
3
[4] M. Mohammadi, M. Safarabadi, A. Rastgoo, A. Farajpour, Hygro-mechanical vibration analysis of a rotating viscoelastic nanobeam embedded in a visco-Pasternak elastic medium and in a nonlinear thermal environment, Acta Mechanica, Vol. 227, No. 8, pp. 2207-2232, 2016.
4
[5] M. Goodarzi, M. Mohammadi, A. Farajpour, M. Khooran, Investigation of the effect of pre-stressed on vibration frequency of rectangular nanoplate based on a visco pasternak foundation, Journal of Solid Mechanics, Vol. 6, pp. 98-121, 2014.
5
[6] S. R. Asemi, M. Mohammadi, A. Farajpour, A study on the nonlinear stability of orthotropic single-layered graphene sheet based on nonlocal elasticity theory, Latin American Journal of Solids and Structures, Vol. 11, No. 9, pp. 1515-1540, 2014.
6
[7] M. R. Farajpour, A. Rastgoo, A. Farajpour, M. Mohammadi, Vibration of piezoelectric nanofilm-based electromechanical sensors via higher-order non-local strain gradient theory, Micro & Nano Letters, Vol. 11, No. 6, pp. 302-307, 2016.
7
[8] M. Mohammadi, A. Farajpour, M. Goodarzi, H. Mohammadi, Temperature effect on vibration analysis of annular graphene sheet embedded on visco-pasternak foundation, J. Solid Mech, Vol. 5, pp. 305-323, 2013.
8
[9] B. S. Aragh, E. B. Farahani, A. N. Barati, Natural frequency analysis of continuously graded carbon nanotube-reinforced cylindrical shells based on third-order shear deformation theory, Mathematics and Mechanics of Solids, Vol. 18, No. 3, pp. 264-284, 2013.
9
[10] J. Dryden, R. Batra, Material tailoring and moduli homogenization for finite twisting deformations of functionally graded Mooney-Rivlin hollow cylinders, Acta Mechanica, Vol. 224, No. 4, pp. 811-818, 2013.
10
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[12] M. Z. Nejad, A. Hadi, Non-local analysis of free vibration of bi-directional functionally graded Euler–Bernoulli nano-beams, International Journal of Engineering Science, Vol. 105, pp. 1-11, 2016.
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[13] M. Z. Nejad, A. Rastgoo, A. Hadi, Exact elasto-plastic analysis of rotating disks made of functionally graded materials, International Journal of Engineering Science, Vol. 85, pp. 47-57, 2014.
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[14] M. Z. Nejad, A. Hadi, A. Rastgoo, Buckling analysis of arbitrary two-directional functionally graded Euler–Bernoulli nano-beams based on nonlocal elasticity theory, International Journal of Engineering Science, Vol. 103, pp. 1-10, 2016.
14
[15] M. Z. Nejad, A. Hadi, Eringen's non-local elasticity theory for bending analysis of bi-directional functionally graded Euler–Bernoulli nano-beams, International Journal of Engineering Science, Vol. 106, pp. 1-9, 2016.
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[16] M. Kahrobaiyan, M. Rahaeifard, S. Tajalli, M. Ahmadian, A strain gradient functionally graded Euler–Bernoulli beam formulation, International Journal of Engineering Science, Vol. 52, pp. 65-76, 2012.
16
[17] Z. Mazarei, M. Z. Nejad, A. Hadi, Thermo-elasto-plastic analysis of thick-walled spherical pressure vessels made of functionally graded materials, International Journal of Applied Mechanics, Vol. 8, No. 04, pp. 1650054, 2016.
17
[18] M. Z. Nejad, G. Rahimi, Deformations and stresses in rotating FGM pressurized thick hollow cylinder under thermal load, Scientific Research and Essays, Vol. 4, No. 3, pp. 131-140, 2009.
18
[19] M. Jabbari, M. Z. Nejad, M. Ghannad, Thermo-elastic analysis of axially functionally graded rotating thick cylindrical pressure vessels with variable thickness under mechanical loading, International journal of engineering science, Vol. 96, pp. 1-18, 2015.
19
[20] M. Jabbari, M. Z. Nejad, M. Ghannad, Thermo-elastic analysis of axially functionally graded rotating thick truncated conical shells with varying thickness, Composites Part B: Engineering, Vol. 96, pp. 20-34, 2016.
20
[21] M. Nejad, A. Rastgoo, A. Hadi, Effect of Exponentially-Varying Properties on Displacements and Stresses in Pressurized Functionally Graded Thick Spherical Shells with Using Iterative Technique, Journal of Solid Mechanics Vol, Vol. 6, No. 4, pp. 366-377, 2014.
21
[22] M. Hosseini, M. Shishesaz, K. N. Tahan, A. Hadi, Stress analysis of rotating nano-disks of variable thickness made of functionally graded materials, International Journal of Engineering Science, Vol. 109, pp. 29-53, 2016.
22
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23
[24] N. Tutuncu, M. Ozturk, Exact solutions for stresses in functionally graded pressure vessels, Composites Part B: Engineering, Vol. 32, No. 8, pp. 683-686, 2001.
24
[25] Z. Shi, T. Zhang, H. Xiang, Exact solutions of heterogeneous elastic hollow cylinders, Composite structures, Vol. 79, No. 1, pp. 140-147, 2007.
25
[26] N. Tutuncu, Stresses in thick-walled FGM cylinders with exponentially-varying properties, Engineering Structures, Vol. 29, No. 9, pp. 2032-2035, 2007.
26
[27] Y. Chen, X. Lin, Elastic analysis for thick cylinders and spherical pressure vessels made of functionally graded materials, Computational Materials Science, Vol. 44, No. 2, pp. 581-587, 2008.
27
[28] R. Batra, G. Nie, Analytical solutions for functionally graded incompressible eccentric and non-axisymmetrically loaded circular cylinders, Composite Structures, Vol. 92, No. 5, pp. 1229-1245, 2010.
28
[29] G. Nie, R. Batra, Exact solutions and material tailoring for functionally graded hollow circular cylinders, Journal of Elasticity, Vol. 99, No. 2, pp. 179-201, 2010.
29
[30] G. Nie, R. Batra, Material tailoring and analysis of functionally graded isotropic and incompressible linear elastic hollow cylinders, Composite structures, Vol. 92, No. 2, pp. 265-274, 2010.
30
[31] H. Çallioğlu, N. B. Bektaş, M. Sayer, Stress analysis of functionally graded rotating discs: analytical and numerical solutions, Acta Mechanica Sinica, Vol. 27, No. 6, pp. 950-955, 2011.
31
[32] P. Fatehi, M. Z. Nejad, Effects of material gradients on onset of yield in FGM rotating thick cylindrical shells, International Journal of Applied Mechanics, Vol. 6, No. 04, pp. 1450038, 2014.
32
[33] M. Z. Nejad, M. Jabbari, M. Ghannad, Elastic analysis of axially functionally graded rotating thick cylinder with variable thickness under non-uniform arbitrarily pressure loading, International Journal of Engineering Science, Vol. 89, pp. 86-99, 2015.
33
[34] M. H. Sadd, 2009, Elasticity: theory, applications, and numerics, Academic Press,
34
[35] M. Mohammadi, A. Farajpour, M. Goodarzi, F. Dinari, Thermo-mechanical vibration analysis of annular and circular graphene sheet embedded in an elastic medium, Latin American Journal of Solids and Structures, Vol. 11, No. 4, pp. 659-682, 2014.
35
[36] M. Mohammadi, M. Goodarzi, M. Ghayour, S. Alivand, Small scale effect on the vibration of orthotropic plates embedded in an elastic medium and under biaxial in-plane pre-load via nonlocal elasticity theory, Journal of Solid Mechanics, Vol. 4, No. 2, pp. 128-143, 2012.
36
[37] M. Mohammadi, A. Farajpour, M. Goodarzi, R. Heydarshenas, Levy type solution for nonlocal thermo-mechanical vibration of orthotropic mono-layer graphene sheet embedded in an elastic medium, Journal of Solid Mechanics, Vol. 5, No. 2, pp. 116-132, 2013.
37
[38] M. Goodarzi, M. Mohammadi, A. Farajpour, M. Khooran, Investigation of the effect of pre-stressed on vibration frequency of rectangular nanoplate based on a visco pasternak foundation, Journal of Solid Mechanics, Vol. 6, pp. 98-121, 2014.
38
ORIGINAL_ARTICLE
Nonlinear Vibration and Stability Analysis of Beam on the Variable Viscoelastic Foundation
The aim of this study is the investigation of the large amplitude deflection of an Euler-Bernoulli beam subjected to an axial load on a viscoelastic foundation with the strong damping. In order to achieve this purpose, the beam nonlinear frequency has been calculated by homotopy perturbation method (HPM) and Hamilton Approach (HA) and it was compared by the exact solutions for the different boundary conditions such as simple-simple, clamped-simple and clamped-clamped which showed a good accuracy in results. In addition, to find the deflection of the nonlinear Euler-Bernoulli beam, the problem has been solved based on homotopy perturbation method and modified differential transform method (MDTM) and finally, the results were compared by Rung-Kutta exact solutions. The derived deflection results by two mentioned methods had a good agreement with the exact RK4 solutions. By considering the paper results, buckling force is increased for each case permanently by increase in the boundary rigidity for a constant value of system amplitude (A). As a final comparison, in based on paper results, the buckling force is arisen by increasing the system amplitude for each case.
https://jcamech.ut.ac.ir/article_62123_605825a8099949cacc5b368382c33973.pdf
2017-06-01
99
110
10.22059/jcamech.2017.233687.145
Euler-Bernoulli Beam
Homotopy Perturbation Method
Padé approximants
Modified differential transform method
Variable foundation
Vibration and buckling analysis
Mohammad
Choulaie
m.choulaie@gmail.com
1
Department of Mechanical Engineering Faculty of Engineering Guilan University
LEAD_AUTHOR
ahmad
bagheri
m.choulaeyy@gmail.com
2
Department of mechanical engineering, Guilan University
AUTHOR
Ali
Khademifar
a-khade@encs.concordia.ca
3
Mechanical Engineering Department of Concordia University, Montreal, Canada
AUTHOR
[1] H. M. Sedighi, K. H. Shirazi, A new approach to analytical solution of cantilever beam vibration with nonlinear boundary condition, Journal of Computational and Nonlinear Dynamics, Vol. 7, No. 3, pp. 034502, 2012.
1
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2
[3] A. Barari, B. Ganjavi, M. Ghanbari Jeloudar, G. Domairry, Assessment of two analytical methods in solving the linear and nonlinear elastic beam deformation problems, Journal of Engineering, Design and Technology, Vol. 8, No. 2, pp. 127-145, 2010.
3
[4] S. Lai, J. Harrington, Y. Xiang, K. Chow, Accurate analytical perturbation approach for large amplitude vibration of functionally graded beams, International Journal of Non-Linear Mechanics, Vol. 47, No. 5, pp. 473-480, 2012.
4
[5] A. Barari, H. Kaliji, M. Ghadimi, G. Domairry, Non-linear vibration of Euler-Bernoulli beams, Latin American Journal of Solids and Structures, Vol. 8, No. 2, pp. 139-148, 2011.
5
[6] H. M. Sedighi, K. H. Shirazi, J. Zare, An analytic solution of transversal oscillation of quintic non-linear beam with homotopy analysis method, International Journal of Non-Linear Mechanics, Vol. 47, No. 7, pp. 777-784, 2012.
6
[7] S. Durmaz, M. O. Kaya, High-order energy balance method to nonlinear oscillators, Journal of Applied Mathematics, Vol. 2012, 2012.
7
[8] M. Sfahani, A. Barari, M. Omidvar, S. Ganji, G. Domairry, Dynamic response of inextensible beams by improved energy balance method, Proceedings of the Institution of Mechanical Engineers, Part K: Journal of Multi-body Dynamics, Vol. 225, No. 1, pp. 66-73, 2011.
8
[9] I. Mehdipour, D. Ganji, M. Mozaffari, Application of the energy balance method to nonlinear vibrating equations, Current Applied Physics, Vol. 10, No. 1, pp. 104-112, 2010.
9
[10] Y. Khan, A. Mirzabeigy, Improved accuracy of He’s energy balance method for analysis of conservative nonlinear oscillator, Neural Computing and Applications, Vol. 25, No. 3-4, pp. 889-895, 2014.
10
[11] M. Akbarzade, J. Langari, A Study of Nonlinear Oscillators by Energy Balance Method (EBM), Applied Mathematical Sciences, Vol. 5, No. 32, pp. 1589-1594, 2011.
11
[12] D. Younesian, Z. Saadatnia, H. Askari, Analytical solutions for free oscillations of beams on nonlinear elastic foundations using the variational iteration method, Journal of theoretical and applied Mechanics, Vol. 50, No. 2, pp. 639-652, 2012.
12
[13] H. Askari, M. KalamiYazdi, Z. Saadatnia, Frequency analysis of nonlinear oscillators with rational restoring force via He’s energy balance method and He’s variational approach, Nonlinear Science Letters A, Vol. 1, No. 4, pp. 425-430, 2010.
13
[14] İ. Ateş, A. Yıldırım, Comparison between variational iteration method and homotopy perturbation method for linear and nonlinear partial differential equations with the nonhomogeneous initial conditions, Numerical Methods for Partial Differential Equations, Vol. 26, No. 6, pp. 1581-1593, 2010.
14
[15] Z. M. Odibat, A study on the convergence of variational iteration method, Mathematical and Computer Modelling, Vol. 51, No. 9, pp. 1181-1192, 2010.
15
[16] D. Younesian, H. Askari, Z. Saadatnia, M. KalamiYazdi, Frequency analysis of strongly nonlinear generalized Duffing oscillators using He’s frequency–amplitude formulation and He’s energy balance method, Computers & Mathematics with Applications, Vol. 59, No. 9, pp. 3222-3228, 2010.
16
[17] H. Asemi, S. Asemi, A. Farajpour, M. Mohammadi, Nanoscale mass detection based on vibrating piezoelectric ultrathin films under thermo-electro-mechanical loads, Physica E: Low-dimensional Systems and Nanostructures, Vol. 68, pp. 112-122, 2015.
17
[18] S. Asemi, A. Farajpour, H. Asemi, M. Mohammadi, Influence of initial stress on the vibration of double-piezoelectric-nanoplate systems with various boundary conditions using DQM, Physica E: Low-dimensional Systems and Nanostructures, Vol. 63, pp. 169-179, 2014.
18
[19] S. R. Asemi, M. Mohammadi, A. Farajpour, A study on the nonlinear stability of orthotropic single-layered graphene sheet based on nonlocal elasticity theory, Latin American Journal of Solids and Structures, Vol. 11, No. 9, pp. 1515-1540, 2014.
19
[20] M. Azimi, S. Kariman, Periodic solution for vibration of Euler-Bernoulli beams subjected to axial load using DTM and HA, Journal of Applied Mechanical Engineering, Vol. 2013, 2013.
20
[21] 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, 2017.
21
[22] A. Farajpour, M. H. Yazdi, A. Rastgoo, M. Mohammadi, A higher-order nonlocal strain gradient plate model for buckling of orthotropic nanoplates in thermal environment, Acta Mechanica, Vol. 227, No. 7, pp. 1849-1867, 2016.
22
[23] M. R. Farajpour, A. Rastgoo, A. Farajpour, M. Mohammadi, Vibration of piezoelectric nanofilm-based electromechanical sensors via higher-order non-local strain gradient theory, Micro & Nano Letters, Vol. 11, No. 6, pp. 302-307, 2016.
23
[24] M. Goodarzi, M. Mohammadi, A. Farajpour, M. Khooran, Investigation of the effect of pre-stressed on vibration frequency of rectangular nanoplate based on a visco pasternak foundation, Journal of Solid Mechanics, Vol. 6, pp. 98-121, 2014.
24
[25] M. Goodarzi, M. Mohammadi, M. Khooran, F. Saadi, Thermo-Mechanical Vibration Analysis of FG Circular and Annular Nanoplate Based on the Visco-Pasternak Foundation, Journal of Solid Mechanics Vol, Vol. 8, No. 4, pp. 788-805, 2016.
25
[26] M. Mohammadi, A. Farajpour, M. Goodarzi, F. Dinari, Thermo-mechanical vibration analysis of annular and circular graphene sheet embedded in an elastic medium, Latin American Journal of Solids and Structures, Vol. 11, No. 4, pp. 659-682, 2014.
26
[27] M. Mohammadi, A. Farajpour, M. Goodarzi, R. Heydarshenas, Levy type solution for nonlocal thermo-mechanical vibration of orthotropic mono-layer graphene sheet embedded in an elastic medium, Journal of Solid Mechanics, Vol. 5, No. 2, pp. 116-132, 2013.
27
[28] M. Mohammadi, A. Farajpour, M. Goodarzi, H. Mohammadi, Temperature effect on vibration analysis of annular graphene sheet embedded on visco-pasternak foundation, J. Solid Mech, Vol. 5, pp. 305-323, 2013.
28
[29] M. Mohammadi, M. Ghayour, A. Farajpour, Analysis of free vibration sector plate based on elastic medium by using new version differential quadrature method, Journal of solid mechanics in engineering, Vol. 3, No. 2, pp. 47-56, 2011.
29
[30] M. Mohammadi, M. Goodarzi, M. Ghayour, S. Alivand, Small scale effect on the vibration of orthotropic plates embedded in an elastic medium and under biaxial in-plane pre-load via nonlocal elasticity theory, Journal of Solid Mechanics, Vol. 4, No. 2, pp. 128-143, 2012.
30
[31] M. Mohammadi, A. Moradi, M. Ghayour, A. Farajpour, Exact solution for thermo-mechanical vibration of orthotropic mono-layer graphene sheet embedded in an elastic medium, Latin American Journal of Solids and Structures, Vol. 11, No. 3, pp. 437-458, 2014.
31
[32] M. Mohammadi, M. Safarabadi, A. Rastgoo, A. Farajpour, Hygro-mechanical vibration analysis of a rotating viscoelastic nanobeam embedded in a visco-Pasternak elastic medium and in a nonlinear thermal environment, Acta Mechanica, Vol. 227, No. 8, pp. 2207-2232, 2016.
32
[33] M. Safarabadi, M. Mohammadi, A. Farajpour, M. Goodarzi, Effect of surface energy on the vibration analysis of rotating nanobeam, Journal of Solid Mechanics, Vol. 7, No. 3, pp. 299-311, 2015.
33
[34] G. Rezazadeh, H. Madinei, R. Shabani, Study of parametric oscillation of an electrostatically actuated microbeam using variational iteration method, Applied Mathematical Modelling, Vol. 36, No. 1, pp. 430-443, 2012.
34
[35] A. Kacar, H. T. Tan, M. O. Kaya, Free vibration analysis of beams on variable winkler elastic foundation by using the differential transform method, Mathematical and Computational Applications, Vol. 16, No. 2, pp. 773-783, 2011.
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[36] J. Biazar, M. Eslami, M. Islam, Differential transform method for nonlinear parabolic-hyperbolic partial differential equations, Applications and Applied Mathematics, Vol. 5, No. 10, pp. 1493-1503, 2010.
36
[37] P. Salehi, H. Yaghoobi, M. Torabi, Application of the differential transformation method and variational iteration method to large deformation of cantilever beams under point load, Journal of mechanical science and technology, Vol. 26, No. 9, pp. 2879-2887, 2012.
37
[38] K. Torabi, H. Afshari, E. Zafari, Approximate Solution for Longitudinal Vibration of Non-Uniform Beams by Differential Transform Method (DTM), Journal of Materials Science and Engineering. B, Vol. 3, No. 1B, pp. 63, 2013.
38
[39] A. Mahmoud, S. Abdelghany, K. Ewis, Free vibration of uniform and non-uniform Euler beams using the differential transformation method, Asian Journal of Mathematics and Applications, Vol. 2013, 2013.
39
[40] H. Abdelhafez, Solution of Excited Non-Linear Oscillators under Damping Effects Using the Modified Differential Transform Method, Mathematics, Vol. 4, No. 1, pp. 11, 2016.
40
[41] Z. Liu, Y. Yin, F. Wang, Y. Zhao, L. Cai, Study on modified differential transform method for free vibration analysis of uniform Euler-Bernoulli beam, Structural Engineering and Mechanics, Vol. 48, No. 5, pp. 697-709, 2013.
41
[42] S. Nourazar, A. Mirzabeigy, Approximate solution for nonlinear Duffing oscillator with damping effect using the modified differential transform method, Scientia Iranica, Vol. 20, No. 2, pp. 364-368, 2013.
42
[43] V. Suat Erturk, A. Yildirim, S. Momanic, Y. Khan, The differential transform method and Padé approximants for a fractional population growth model, International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 22, No. 6, pp. 791-802, 2012.
43
[44] A. Mirzabeigy, R. Madoliat, Large amplitude free vibration of axially loaded beams resting on variable elastic foundation, Alexandria Engineering Journal, 2016.
44
[45] A. D. Senalp, A. Arikoglu, I. Ozkol, V. Z. Dogan, Dynamic response of a finite length euler-bernoulli beam on linear and nonlinear viscoelastic foundations to a concentrated moving force, Journal of Mechanical Science and Technology, Vol. 24, No. 10, pp. 1957-1961, 2010.
45
ORIGINAL_ARTICLE
Buckling Behavior of Composite Plates with a Pre-central Circular Delamination Defect under in-Plane Uniaxial Compression
Delamination is one of the most common failure modes in composite structures. In the case of in-plane compressional loading, delamination of a layered flat structure can cause a local buckling in delaminated area which subsequently affects the overall stiffness of the initial structure. This leads to an early failure of the overall structure. Moreover, with an increase in load, the delaminated area may propagate in the post-buckling mode; and consequently, to predict this behavior, a combination of failure modes will be used to predict failure. In this work, the proposed analysis will predict the delamination shape and load carrying capacity of a composite laminated plate during delamination process in post-buckling mode. For this purpose, it is assumed that the composite laminate contains an initial circular delaminated (defected) area. The analysis is performed through a numerical scheme based on finite element method. Results show that in most cases, the onset of crack growth is affected by the first opening mode while it is well probable that during the delamination growth, the effects of other modes dominate the initial primary opening mode. Consequently, during progression of any delamination which may occur as a result of further loading, a jump in failure mode which is predicted in this analysis, may occur. Moreover, the induced results show that the stacking sequence of the delaminated composite plate has a significant effect on the delamination growth and the load carrying capacity of the overall structure.
https://jcamech.ut.ac.ir/article_62124_2c3451a96bf25c4337e44085e6a0ed28.pdf
2017-06-01
111
122
10.22059/jcamech.2017.234593.147
Buckling
Composite plates
Delamination defect
Compressive uniaxial loading
Mohammad
Shishesaz
m-shishehsaz@scu.ac.ir
1
Department of Mechanical Engineering,Shahid Chamran University of Ahvaz,Ahvaz,Iran
AUTHOR
Mahsa
Kharazi
k-kharazi@sut.ac.ir
2
Department of Mechanical Engineering,Sahand University of Thechnolagy,Sahand New Town Tabriz,
AUTHOR
Parvaneh
Hosseini
s.prvnh.hssini@gmail.com
3
Mechanical Engineering Department, Yasouj University, P. O. Box: 75914-353, Yasouj, Iran
AUTHOR
Mohammad
Hosseini
s.m.hssini@gmail.com
4
Department of Mechanical Engineering, Shahid Chamran University of Ahvaz, Ahvaz, Iran
LEAD_AUTHOR
[1] K. F. Nilsson, L. E. Asp, J. E. Alpman, L. Nystedt, Delamination buckling and growth for delaminations at different depths in a slender composite panel, International Journal of Solids and Structures, Vol. 38, No. 17, pp. 3039-3071, 4//, 2001.
1
[2] S.-F. Hwang, S.-M. Huang, Postbuckling behavior of composite laminates with two delaminations under uniaxial compression, Composite Structures, Vol. 68, No. 2, pp. 157-165, 4//, 2005.
2
[3] K. Alnefaie, Finite element modeling of composite plates with internal delamination, Composite Structures, Vol. 90, No. 1, pp. 21-27, 9//, 2009.
3
[4] I. Tawk, P. Navarro, J. F. Ferrero, J. J. Barrau, E. Abdullah, Composite delamination modelling using a multi-layered solid element, Composites Science and Technology, Vol. 70, No. 2, pp. 207-214, 2//, 2010.
4
[5] Y. Lin, Role of matrix resin in delamination onset and growth in composite laminates, Composites Science and Technology, Vol. 33, No. 4, pp. 257-277, 1988/01/01/, 1988.
5
[6] A. Turon, P. P. Camanho, J. Costa, J. Renart, Accurate simulation of delamination growth under mixed-mode loading using cohesive elements: Definition of interlaminar strengths and elastic stiffness, Composite Structures, Vol. 92, No. 8, pp. 1857-1864, 7//, 2010.
6
[7] J. D. Whitcomb, Finite element analysis of instability related delamination growth, Journal of Composite Materials, Vol. 15, No. 5, pp. 403-426, 1981.
7
[8] W. Gong, J. Chen, E. A. Patterson, Buckling and delamination growth behaviour of delaminated composite panels subject to four-point bending, Composite Structures, Vol. 138, pp. 122-133, 3/15/, 2016.
8
[9] R. G. Wang, L. Zhang, J. Zhang, W. B. Liu, X. D. He, Numerical analysis of delamination buckling and growth in slender laminated composite using cohesive element method, Computational Materials Science, Vol. 50, No. 1, pp. 20-31, 11//, 2010.
9
[10] H. Hosseini-Toudeshky, S. Hosseini, B. Mohammadi, Delamination buckling growth in laminated composites using layerwise-interface element, Composite Structures, Vol. 92, No. 8, pp. 1846-1856, 7//, 2010.
10
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11
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[24] H. R. Asemi, S. R. Asemi, A. Farajpour, M. Mohammadi, Nanoscale mass detection based on vibrating piezoelectric ultrathin films under thermo-electro-mechanical loads, Physica E: Low-dimensional Systems and Nanostructures, Vol. 68, pp. 112-122, 4//, 2015.
24
[25] M. Mohammadi, M. Goodarzi, M. Ghayour, S. Alivand, Small scale effect on the vibration of orthotropic plates embedded in an elastic medium and under biaxial in-plane pre-load via nonlocal elasticity theory, Journal of Solid Mechanics, Vol. 4, No. 2, pp. 128-143, 2012.
25
[26] M. Mohammadi, A. Farajpour, M. Goodarzi, R. Heydarshenas, Levy type solution for nonlocal thermo-mechanical vibration of orthotropic mono-layer graphene sheet embedded in an elastic medium, Journal of Solid Mechanics, Vol. 5, No. 2, pp. 116-132, 2013.
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[27] A. Farajpour, M. H. Yazdi, A. Rastgoo, M. Mohammadi, A higher-order nonlocal strain gradient plate model for buckling of orthotropic nanoplates in thermal environment, Acta Mechanica, Vol. 227, No. 7, pp. 1849-1867, 2016.
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[28] M. Mohammadi, A. Farajpour, M. Goodarzi, H. Mohammadi, Temperature effect on vibration analysis of annular graphene sheet embedded on visco-pasternak foundation, J. Solid Mech, Vol. 5, pp. 305-323, 2013.
28
[29] M. Goodarzi, M. Mohammadi, A. Farajpour, M. Khooran, Investigation of the effect of pre-stressed on vibration frequency of rectangular nanoplate based on a visco pasternak foundation, Journal of Solid Mechanics, Vol. 6, pp. 98-121, 2014.
29
[30] M. Mohammadi, M. Safarabadi, A. Rastgoo, A. Farajpour, Hygro-mechanical vibration analysis of a rotating viscoelastic nanobeam embedded in a visco-Pasternak elastic medium and in a nonlinear thermal environment, Acta Mechanica, Vol. 227, No. 8, pp. 2207-2232, 2016.
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[31] M. R. Farajpour, A. Rastgoo, A. Farajpour, M. Mohammadi, Vibration of piezoelectric nanofilm-based electromechanical sensors via higher-order non-local strain gradient theory, Micro & Nano Letters, Vol. 11, No. 6, pp. 302-307, 2016.
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[32] S. R. Asemi, M. Mohammadi, A. Farajpour, A study on the nonlinear stability of orthotropic single-layered graphene sheet based on nonlocal elasticity theory, Latin American Journal of Solids and Structures, Vol. 11, No. 9, pp. 1515-1540, 2014.
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34
ORIGINAL_ARTICLE
Refined plate theory for free vibration analysis of FG nanoplates using the nonlocal continuum plate model
In this article, the free vibration behavior of nanoscale FG rectangular plates is studied within the framework of the refined plate theory (RPT) and small-scale effects are taken into account. Using the nonlocal elasticity theory, the governing equations are derived for single-layered FG nanoplate. The Navier’s method is employed to obtain closed-form solutions for rectangular nanoplates assuming that all edges are simply supported. The results are subsequently compared with valid results reported in the literature. The effects of the small scale on natural frequencies are investigated considering various parameters such as aspect ratio, thickness ratio, and mode numbers. It is shown that the RPT is an accurate and simple theory for the vibration analysis of nanoplates, which does not require a shear correction factor.
https://jcamech.ut.ac.ir/article_62125_5a90dc66a27dbbb894073c851a031bf5.pdf
2017-06-01
123
136
10.22059/jcamech.2017.236217.155
Small scale
refined plate theory
Vibration analysis
FGM nanoplate
Mostafa
Goodarzi
mz.goodarzi.iau@gmail.com
1
Department of Mechanical Engineering, Islamic Azad University, Branch of Ahvaz, Ahvaz, Iran
LEAD_AUTHOR
Mansour
Nikkhah Bahrami
m.bahrami@ut.ac.ir
2
Department of Engineering, Science and Research Branch, Islamic Azad University, Tehran, Iran
AUTHOR
Vahid
Tavaf
vahid.tavaf@gmail.com
3
Department of Mechanical Engineering at University of South Carolina
AUTHOR
[1] M. A. Eltaher, F. F. Mahmoud, A. E. Assie, E. I. Meletis, Coupling effects of nonlocal and surface energy on vibration analysis of nanobeams, Applied Mathematics and Computation, Vol. 224, pp. 760-774, 11/1/, 2013.
1
[2] M. A. Eltaher, M. A. Agwa, F. F. Mahmoud, Nanobeam sensor for measuring a zeptogram mass, International Journal of Mechanics and Materials in Design, Vol. 12, No. 2, pp. 211-221, 2016.
2
[3] M. Z. Nejad, A. Hadi, A. Rastgoo, Buckling analysis of arbitrary two-directional functionally graded Euler–Bernoulli nano-beams based on nonlocal elasticity theory, International Journal of Engineering Science, Vol. 103, pp. 1-10, 2016.
3
[4] M. Z. Nejad, A. Hadi, Non-local analysis of free vibration of bi-directional functionally graded Euler–Bernoulli nano-beams, International Journal of Engineering Science, Vol. 105, pp. 1-11, 2016.
4
[5] M. Safarabadi, M. Mohammadi, A. Farajpour, M. Goodarzi, Effect of surface energy on the vibration analysis of rotating nanobeam, Journal of Solid Mechanics, Vol. 7, No. 3, pp. 299-311, 2015.
5
[6] M. Danesh, A. Farajpour, M. Mohammadi, Axial vibration analysis of a tapered nanorod based on nonlocal elasticity theory and differential quadrature method, Mechanics Research Communications, Vol. 39, No. 1, pp. 23-27, 2012.
6
[7] M. Aydogdu, Axial vibration analysis of nanorods (carbon nanotubes) embedded in an elastic medium using nonlocal elasticity, Mechanics Research Communications, Vol. 43, pp. 34-40, 2012.
7
[8] H. Moosavi, M. Mohammadi, A. Farajpour, S. Shahidi, Vibration analysis of nanorings using nonlocal continuum mechanics and shear deformable ring theory, Physica E: Low-dimensional Systems and Nanostructures, Vol. 44, No. 1, pp. 135-140, 2011.
8
[9] A. Farajpour, A. Shahidi, M. Mohammadi, M. Mahzoon, Buckling of orthotropic micro/nanoscale plates under linearly varying in-plane load via nonlocal continuum mechanics, Composite Structures, Vol. 94, No. 5, pp. 1605-1615, 2012.
9
[10] M. Mohammadi, A. Moradi, M. Ghayour, A. Farajpour, Exact solution for thermo-mechanical vibration of orthotropic mono-layer graphene sheet embedded in an elastic medium, Latin American Journal of Solids and Structures, Vol. 11, No. 3, pp. 437-458, 2014.
10
[11] M. Mohammadi, A. Farajpour, M. Goodarzi, R. Heydarshenas, Levy type solution for nonlocal thermo-mechanical vibration of orthotropic mono-layer graphene sheet embedded in an elastic medium, Journal of Solid Mechanics, Vol. 5, No. 2, pp. 116-132, 2013.
11
[12] M. Mohammadimehr, B. R. Navi, A. G. Arani, Modified strain gradient Reddy rectangular plate model for biaxial buckling and bending analysis of double-coupled piezoelectric polymeric nanocomposite reinforced by FG-SWNT, Composites Part B: Engineering, Vol. 87, pp. 132-148, 2016.
12
[13] M. Mohammadi, A. Farajpour, A. Moradi, M. Ghayour, Shear buckling of orthotropic rectangular graphene sheet embedded in an elastic medium in thermal environment, Composites Part B: Engineering, Vol. 56, pp. 629-637, 2014.
13
[14] M. Mohammadi, A. Farajpour, M. Goodarzi, F. Dinari, Thermo-mechanical vibration analysis of annular and circular graphene sheet embedded in an elastic medium, Latin American Journal of Solids and Structures, Vol. 11, No. 4, pp. 659-682, 2014.
14
[15] A. Daneshmehr, A. Rajabpoor, A. Hadi, Size dependent free vibration analysis of nanoplates made of functionally graded materials based on nonlocal elasticity theory with high order theories, International Journal of Engineering Science, Vol. 95, pp. 23-35, 2015.
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[19] R. Ansari, B. Arash, H. Rouhi, Vibration characteristics of embedded multi-layered graphene sheets with different boundary conditions via nonlocal elasticity, Composite Structures, Vol. 93, No. 9, pp. 2419-2429, 2011.
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21
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22
[23] M. Mohammadi, A. Farajpour, M. Goodarzi, H. Mohammadi, Temperature effect on vibration analysis of annular graphene sheet embedded on visco-Pasternak foundation, Journal of Solid Mechanics, Vol. 5, No. 3, pp. 305-323, 2013.
23
[24] M. Mohammadi, M. Goodarzi, M. Ghayour, S. Alivand, Small scale effect on the vibration of orthotropic plates embedded in an elastic medium and under biaxial in-plane pre-load via nonlocal elasticity theory, Journal of Solid Mechanics, Vol. 4, No. 2, pp. 128-143, 2012.
24
[25] M. Mohammadi, A. Farajpour, M. Goodarzi, 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, Vol. 82, pp. 510-520, 2014.
25
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32
ORIGINAL_ARTICLE
Evaluation of Evaporation Estimation Methods: a Case Study of Karaj Dam Lake
Evaporation is one of the largest water losses from most of the dam lakes in Iran. Estimating the evaporation rate enables us to apply the proper evaporation mitigation technologies. In this study, the feasibility of different evaporation estimation methods was studied to find an optimum method with a fair tradeoff between cost and accuracy. The optimum method may vary depending on the climate. We found Penman, Montieth and Unsworth (PMU) method as the optimum estimation method applicable Karaj dam lake (located north west of Tehran, Iran). For validation, we used the filed measurements for 2005. The reason is that the PMU is highly sensitive to wind velocity and only for 2005 the meteorological data contained the wind velocity. For the sky clarity, we used the 22-year average sky clarity of Karaj dam lake in augusts (i.e. 80%). The PMU model is found to provide consistent results with filed measurements (less than 2% error). For example, from 2nd to 15th of August 2005, the PMU model predicts 7.98 ± 0.83 mm/day evaporation and field measurement for the same period was 8.13 ± 0.01 mm/day.
https://jcamech.ut.ac.ir/article_62126_0edb30d1a3fa43ca165f8d4cb45ee004.pdf
2017-06-01
137
150
10.22059/jcamech.2017.228068.128
Evaporation
Karaj dam lake
Penman, Montieth and Unsworth method
Combination Method
Iran
Kamyar
Behrouzi
kamyarbehrouzi1373@gmail.com
1
Mechanical Engineering Department, University of Tehran, Tehran, Iran
AUTHOR
Seyed Farshid
Chini
chini@ut.ac.ir
2
Mechanical Engineering Department, University of Tehran, Tehran, Iran.
LEAD_AUTHOR
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1
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33
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