Free vibration analysis of saturated porous FG circular plates integrated with piezoelectric actuators via differential quadrature method
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Abrate, 2006, Free vibration, buckling, and static deflections of functionally graded plates, Compos. Sci. Technol., 66, 2383, 10.1016/j.compscitech.2006.02.032
Abrate, 2008, Functionally graded plates behave like homogeneous plates, Compos. Part B: Eng., 39, 151, 10.1016/j.compositesb.2007.02.026
Azimi, 1988, Free vibration of circular plates with elastic edge supports using the receptance method, J. Sound Vib., 120, 19, 10.1016/0022-460X(88)90332-X
Barati, 2016, Electro-thermoelastic vibration of plates made of porous functionally graded piezoelectric materials under various boundary conditions, J. Vib. Control
Bert, 1989, Nonlinear bending analysis of orthotropic rectangular plates by the method of differential quadrature, Comput. Mech., 5, 217, 10.1007/BF01046487
Bert, 1996, Differential quadrature method in computational mechanics: a review, Appl. Mech. Rev., 49, 1, 10.1115/1.3101882
Biot, 1964, Theory of buckling of a porous slab and its thermoelastic analogy, J. Appl. Mech., 31, 194, 10.1115/1.3629586
Bozdogan, 2012, Differential quadrature method for free vibration analysis of coupled shear walls, Struct. Eng. Mech., 41, 67, 10.12989/sem.2012.41.1.067
Brush, 1975
Bui, 2011, A moving kriging interpolation-based element-free galerkin method for structural dynamic analysis, Comput. Methods Appl. Mech. Eng., 200, 1354, 10.1016/j.cma.2010.12.017
Bui, 2009, A moving kriging interpolation-based meshless method for numerical simulation of kirchhoff plate problems, Int. J. Numer. Methods Eng., 77, 1371, 10.1002/nme.2462
Bui, 2016, On the high temperature mechanical behaviors analysis of heated functionally graded plates using fem and a new third-order shear deformation plate theory, Compos. Part B: Eng., 92, 218, 10.1016/j.compositesb.2016.02.048
Camier, 2009, Non-linear vibrations of imperfect free-edge circular plates and shells, Eur. J. Mech.-A/Solids, 28, 500, 10.1016/j.euromechsol.2008.11.005
Chen, 2005, Nonlinear vibration of a shear deformable functionally graded plate, Compos. Struct., 68, 295, 10.1016/j.compstruct.2004.03.022
Chen, 2016, Free and forced vibrations of shear deformable functionally graded porous beams, Int. J. Mech. Sci., 108, 14, 10.1016/j.ijmecsci.2016.01.025
Chen, 2002, Dynamic stability analysis and control of a composite beam with piezoelectric layers, Compos. Struct., 56, 97, 10.1016/S0263-8223(01)00183-0
Civalek, 2004, Application of differential quadrature (dq) and harmonic differential quadrature (hdq) for buckling analysis of thin isotropic plates and elastic columns, Eng. Struct., 26, 171, 10.1016/j.engstruct.2003.09.005
Decha-Umphai, 1986, Finite element method for non-linear forced vibrations of circular plates, Int. J. Numer. Methods Eng., 23, 1715, 10.1002/nme.1620230911
Detournay, 1993
Do, 2017, Role of material combination and new results of mechanical behavior for fg sandwich plates in thermal environment, J. Comput. Sci., 21, 164, 10.1016/j.jocs.2017.06.015
Ebrahimi, 2016, Deflection and vibration analysis of higher-order shear deformable compositionally graded porous plate, Steel Compos. Struct., 20, 205, 10.12989/scs.2016.20.1.205
Ebrahimi, 2009, A theoretical analysis of smart moderately thick shear deformable annular functionally graded plate, Eur. J. Mech.-A/Solids, 28, 962, 10.1016/j.euromechsol.2008.12.008
Eltaher, 2014, Vibration of nonlinear graduation of nano-timoshenko beam considering the neutral axis position, Appl. Math. Comput., 235, 512, 10.1016/j.amc.2014.03.028
Eshraghi, 2016, Bending and free vibrations of functionally graded annular and circular micro-plates under thermal loading, Compos. Struct., 137, 196, 10.1016/j.compstruct.2015.11.024
Heydari, 2017, Buckling analysis of circular functionally graded plate under uniform radial compression including shear deformation with linear and quadratic thickness variation on the pasternak elastic foundation, Appl. Math. Model., 41, 494, 10.1016/j.apm.2016.09.012
Hosseini-Hashemi, 2011, Analysis of free vibrations of moderately thick cylindrical shells made of functionally graded materials using differential quadrature method, Modares Mech. Eng., 11, 93
Jabbari, 2013, Buckling analysis of a functionally graded thin circular plate made of saturated porous materials, J. Eng. Mech., 140, 287, 10.1061/(ASCE)EM.1943-7889.0000663
Jin, 2015, Three-dimensional free vibration analysis of functionally graded annular sector plates with general boundary conditions, Compos. Part B: Eng., 83, 352, 10.1016/j.compositesb.2015.08.032
Khorshidvand, 2012, Thermoelastic buckling analysis of functionally graded circular plates integrated with piezoelectric layers, J. Therm. Stress., 35, 695, 10.1080/01495739.2012.688666
Khorshidvand, 2014, Buckling analysis of a porous circular plate with piezoelectric sensor-actuator layers under uniform radial compression, Acta Mech., 225, 179, 10.1007/s00707-013-0959-2
Krizhevsky, 1996, Refined theory for vibrations and buckling of laminated isotropic annular plates, Int. J. Mech. Sci., 38, 539, 10.1016/0020-7403(95)00053-4
Lal, 2015, Axisymmetric vibrations and buckling analysis of functionally graded circular plates via differential transform method, Eur. J. Mech.-A/Solids, 52, 85, 10.1016/j.euromechsol.2015.02.004
Leclaire, 2001, Transverse vibrations of a thin rectangular porous plate saturated by a fluid, J. Sound Vib., 247, 1, 10.1006/jsvi.2001.3656
A. Leissa, Vibration of plates. NASA SP 1969.
Liew, 1996, Differential quadrature method for thick symmetric cross-ply laminates with first-order shear flexibility, Int. J. Solids Struct., 33, 2647, 10.1016/0020-7683(95)00174-3
Liew, 1996, Differential quadrature method for mindlin plates on winkler foundations, Int. J. Mech. Sci., 38, 405, 10.1016/0020-7403(95)00062-3
Liu, 2017, Analysis of functionally graded plates by a simple locking-free quasi-3d hyperbolic plate isogeometric method, Compos. Part B: Eng., 120, 182, 10.1016/j.compositesb.2017.03.061
Magnucka-Blandzi, 2008, Axi-symmetrical deflection and buckling of circular porous-cellular plate, Thin-Walled Struct., 46, 333, 10.1016/j.tws.2007.06.006
Magnucki, 2004, Elastic buckling of a porous beam, J. Theor. Appl. Mech., 42, 859
Mercan, 2016, Free vibration of annular plates by discrete singular convolution and differential quadrature methods, J. Appl. Comput. Mech., 2, 128
Mirzavand, 2007, Thermal buckling of simply supported piezoelectric fgm cylindrical shells, J. Therm. Stress., 30, 1117, 10.1080/01495730701416036
Moheimani, 2006
Mojahedin, 2016, Buckling analysis of functionally graded circular plates made of saturated porous materials based on higher order shear deformation theory, Thin-Walled Struct., 99, 83, 10.1016/j.tws.2015.11.008
Racz, 2012, Novel adaptive meshfree integration techniques in meshless methods, Int. J. Numer. Methods Eng., 90, 1414, 10.1002/nme.4268
Reddy, 1989, Buckling and vibration of laminated composite plates using various plate theories, AIAA J., 27, 1808, 10.2514/3.10338
Reddy, 2004
Rezaei, 2015, Exact solution for free vibration of thick rectangular plates made of porous materials, Compos. Struct., 134, 1051, 10.1016/j.compstruct.2015.08.125
Rouzegar, 2015, Free vibration analysis of fg plate with piezoelectric layers using four-variable refined plate theory, Thin-Walled Struct., 89, 76, 10.1016/j.tws.2014.12.010
Seifi, 2012, Study of critical buckling loads and modes of cross-ply laminated annular plates, Compos. Part B: Eng., 43, 422, 10.1016/j.compositesb.2011.08.051
Senjanovic, 2014, Natural vibrations of thick circular plate based on the modified mindlin theory, Arch. Mech., 66, 389
Shen, 2005, Postbuckling of axially loaded fgm hybrid cylindrical shells in thermal environments, Compos. Sci. Technol., 65, 1675, 10.1016/j.compscitech.2005.02.008
Shen, 2005, Postbuckling of fgm plates with piezoelectric actuators under thermo-electro-mechanical loadings, Int. J. Solids Struct., 42, 6101, 10.1016/j.ijsolstr.2005.03.042
Shen, 2007, Postbuckling of pressure-loaded fgm hybrid cylindrical shells in thermal environments, Compos. Struct., 77, 546, 10.1016/j.compstruct.2005.08.006
Shi, 2007, A new simple third-order shear deformation theory of plates, Int. J. Solids Struct., 44, 4399, 10.1016/j.ijsolstr.2006.11.031
Shooshtari, 2016, Vibration analysis of a magnetoelectroelastic rectangular plate based on a higher-order shear deformation theory, Lat. Am. J. Solids Struct., 13, 554, 10.1590/1679-78251831
Shu, 2000
Shu, 1992, Application of generalized differential quadrature to solve two-dimensional incompressible navier-stokes equations, Int. J. Numer. Methods Fluids, 15, 791, 10.1002/fld.1650150704
Thai, 2013, A simple first-order shear deformation theory for laminated composite plates, Compos. Struct., 106, 754, 10.1016/j.compstruct.2013.06.013
Thai, 2013, A simple first-order shear deformation theory for the bending and free vibration analysis of functionally graded plates, Compos. Struct., 101, 332, 10.1016/j.compstruct.2013.02.019
Theodorakopoulos, 1994, Flexural vibrations of poroelastic plates, Acta Mech., 103, 191, 10.1007/BF01180226
Viliani, 2009, Buckling analysis of fg plate with smart sensor/actuator, J. Solid Mech., 1, 201
Vu, 2017, A simple fsdt-based meshfree method for analysis of functionally graded plates, Eng. Anal. Bound. Elem., 79, 1, 10.1016/j.enganabound.2017.03.002
Wang, 2001, Analysis of piezoelectric coupled circular plate, Smart Mater. Struct., 10, 229, 10.1088/0964-1726/10/2/308
Wang, 2016, A unified solution for vibration analysis of functionally graded circular, annular and sector plates with general boundary conditions, Compos. Part B: Eng., 88, 264, 10.1016/j.compositesb.2015.10.043
Wang, 2009, Free axisymmetric vibration of fgm circular plates, Appl. Math. Mech., 30, 1077, 10.1007/s10483-009-0901-x
Wattanasakulpong, 2015, Flexural vibration of imperfect functionally graded beams based on timoshenko beam theory: Chebyshev collocation method, Meccanica, 50, 1331, 10.1007/s11012-014-0094-8
Wu, 2002, Free vibration analysis of circular plates using generalized differential quadrature rule, Comput. Methods Appl. Mech. Eng., 191, 5365, 10.1016/S0045-7825(02)00463-2
Yang, 2005, 9
Yin, 2014, Isogeometric locking-free plate element: a simple first order shear deformation theory for functionally graded plates, Compos. Struct., 118, 121, 10.1016/j.compstruct.2014.07.028
Yin, 2016, In-plane material inhomogeneity of functionally graded plates: a higher-order shear deformation plate isogeometric analysis, Compos. Part B: Eng., 106, 273, 10.1016/j.compositesb.2016.09.008
Yu, 2016, Nurbs-based isogeometric analysis of buckling and free vibration problems for laminated composites plates with complicated cutouts using a new simple fsdt theory and level set method, Thin-Walled Struct., 101, 141, 10.1016/j.tws.2015.12.008
Yu, 2015, A simple fsdt-based isogeometric analysis for geometrically nonlinear analysis of functionally graded plates, Finite Elem. Anal. Des., 96, 1, 10.1016/j.finel.2014.11.003
Zhang, 2008, A theoretical analysis of fgm thin plates based on physical neutral surface, Comput. Mater. Sci., 44, 716, 10.1016/j.commatsci.2008.05.016
Zhou, 2003, Three-dimensional vibration analysis of circular and annular plates via the chebyshev-ritz method, Int. J. Solids Struct., 40, 3089, 10.1016/S0020-7683(03)00114-8
Zong, 2009