Three-dimensional vibration analysis of sandwich and multilayered plates with general ply stacking sequences by a spectral-sampling surface method

Aydogdu, 2009, A new shear deformation theory for laminated composite plates, Compos Struct, 89, 94, 10.1016/j.compstruct.2008.07.008 Chen, 1997, Vibration analysis of symmetrically laminated thick rectangular plates using the higher-order theory and p-Ritz method, J Acoust Soc Am, 102, 1600, 10.1121/1.420072 Cheung, 2001, Free vibrations of rectangular unsymmetrically laminated composite plates with internal line supports, Comput Struct, 79, 1923, 10.1016/S0045-7949(01)00096-7 Ferreira, 2006, Computation of natural frequencies of shear deformable beams and plates by an RBF-pseudospectral method, Comput Methods Appl Mech Eng, 196, 134, 10.1016/j.cma.2006.02.009 Ferreira, 2011, Buckling and vibration analysis of isotropic and laminated plates by radial basis functions, Compos B Eng, 42, 592, 10.1016/j.compositesb.2010.08.001 Ye, 2014, A modified Fourier solution for vibration analysis of moderately thick laminated plates with general boundary restraints and internal line supports, Int J Mech Sci, 80, 29, 10.1016/j.ijmecsci.2014.01.001 Kabir, 2001, Free vibration analysis of thin arbitrarily laminated anisotropic plates using boundary-continuous displacement Fourier approach, Compos Struct, 53, 469, 10.1016/S0263-8223(01)00059-9 Liew, 2003, Vibration analysis of symmetrically laminated plates based on FSDT using the moving least squares differential quadrature method, Comput Methods Appl Mech Eng, 192, 2203, 10.1016/S0045-7825(03)00238-X Liu, 2011, Exact solutions for free vibrations of orthotropic rectangular Mindlin plates, Compos Struct, 93, 1664, 10.1016/j.compstruct.2011.01.014 Liu, 2007, Mesh-free radial basis function method for static, free vibration and buckling analysis of shear deformable composite laminates, Compos Struct, 78, 58, 10.1016/j.compstruct.2005.08.010 Mantari, 2012, A new trigonometric shear deformation theory for isotropic, laminated composite and sandwich plates, Int J Solids Struct, 49, 43, 10.1016/j.ijsolstr.2011.09.008 Messina, 1999, Vibration of completely free composite plates and cylindrical shell panels by a higher-order theory, Int J Mech Sci, 41, 891, 10.1016/S0020-7403(98)00069-1 Nallim, 2008, An analytical–numerical approach to simulate the dynamic behaviour of arbitrarily laminated composite plates, Compos Struct, 85, 311, 10.1016/j.compstruct.2007.10.031 Ngo-Cong, 2011, Free vibration analysis of laminated composite plates based on FSDT using one-dimensional IRBFN method, Comput Struct, 89, 1, 10.1016/j.compstruc.2010.07.012 Seçgin, 2008, Free vibration analysis of symmetrically laminated thin composite plates by using discrete singular convolution (DSC) approach: algorithm and verification, J Sound Vib, 315, 197, 10.1016/j.jsv.2008.01.061 Thai, 2013, A simple refined theory for bending, buckling, and vibration of thick plates resting on elastic foundation, Int J Mech Sci, 73, 40, 10.1016/j.ijmecsci.2013.03.017 Wang, 1997, Free vibration analysis of skew fibre-reinforced composite laminates based on first-order shear deformation plate theory, Comput Struct, 63, 525, 10.1016/S0045-7949(96)00357-4 Zenkour, 2011, Bending of orthotropic plates resting on Pasternak’s foundations using mixed shear deformation theory, Acta Mech Sin, 27, 956, 10.1007/s10409-011-0515-z Iurlaro, 2015, The (3, 2)-Mixed Refined Zigzag Theory for generally laminated beams: theoretical development and C0 finite element formulation, Int J Solids Struct, 73, 1, 10.1016/j.ijsolstr.2015.07.028 Carrera, 1997, C Z requirements—models for the two dimensional analysis of multilayered structures, Compos Struct, 37, 373, 10.1016/S0263-8223(98)80005-6 Reddy, 2004 Carrera, 2011 Leissa, 1983, On the three-dimensional vibrations of the cantilevered rectangular parallelepiped, J Acoust Soc Am, 73, 2013, 10.1121/1.389568 Qu, 2015, Three-dimensional free and transient vibration analysis of composite laminated and sandwich rectangular parallelepipeds: beams, plates and solids, Compos B Eng, 73, 96, 10.1016/j.compositesb.2014.12.027 Malekzadeh, 2009, A two-dimensional layerwise-differential quadrature static analysis of thick laminated composite circular arches, Appl Math Model, 33, 1850, 10.1016/j.apm.2008.03.008 Carrera, 2002, Theories and finite elements for multilayered, anisotropic, composite plates and shells, Arch Comput Methods Eng, 9, 87, 10.1007/BF02736649 Carrera, 2003, Theories and finite elements for multilayered plates and shells: a unified compact formulation with numerical assessment and benchmarking, Arch Comput Methods Eng, 10, 215, 10.1007/BF02736224 Carrera, 2008, Analysis of thickness locking in classical, refined and mixed multilayered plate theories, Compos Struct, 82, 549, 10.1016/j.compstruct.2007.02.002 Chen, 2005, 3D free vibration analysis of cross-ply laminated plates with one pair of opposite edges simply supported, Compos Struct, 69, 77, 10.1016/j.compstruct.2004.05.015 Khezri, 2015, A state space augmented generalised RKPM for three-dimensional analysis of thick and laminated composite plates, Comput Struct, 158, 225, 10.1016/j.compstruc.2015.06.004 Xin, 2015, Free vibration of simply supported and multilayered magneto-electro-elastic plates, Compos Struct, 121, 344, 10.1016/j.compstruct.2014.11.030 Qu, 2013, Three-dimensional elasticity solution for vibration analysis of composite rectangular parallelepipeds, Eur J Mech-A/Solids, 42, 376, 10.1016/j.euromechsol.2013.07.006 Zhang, 2006, Three-dimensional vibration analysis of multilayered piezoelectric composite plates, Int J Eng Sci, 44, 397, 10.1016/j.ijengsci.2006.02.002 Ye, 1997, A three-dimensional free vibration analysis of cross-ply laminated rectangular plates with clamped edges, Comput Methods Appl Mech Eng, 140, 383, 10.1016/S0045-7825(96)01112-7 Kumari, 2014, Three-dimensional extended Kantorovich solution for Levy-type rectangular laminated plates with edge effects, Compos Struct, 107, 167, 10.1016/j.compstruct.2013.07.053 Malekzadeh, 2009, Three-dimensional dynamic analysis of laminated composite plates subjected to moving load, Compos Struct, 90, 105, 10.1016/j.compstruct.2009.02.008 Liew, 2005, Three-dimensional analysis of the coupled thermo-piezoelectro-mechanical behaviour of multilayered plates using the differential quadrature technique, Int J Solids Struct, 42, 4239, 10.1016/j.ijsolstr.2004.12.018 Setoodeh, 2004, Static, free vibration and buckling analysis of anisotropic thick laminated composite plates on distributed and point elastic supports using a 3-D layer-wise FEM, Eng Struct, 26, 211, 10.1016/j.engstruct.2003.09.009 Li, 2013, Linear statics and free vibration sensitivity analysis of the composite sandwich plates based on a layerwise/solid-element method, Compos Struct, 106, 175, 10.1016/j.compstruct.2013.05.056 Narita, 2005, Layerwise optimisation for maximising the fundamental frequencies of point-supported rectangular laminated composite plates, Compos Struct, 69, 127, 10.1016/j.compstruct.2004.05.021 Kulikov, 2001, Refined global approximation theory of multilayered plates and shells, J Eng Mech-ASCE, 127, 119, 10.1061/(ASCE)0733-9399(2001)127:2(119) Kulikov, 2008, Finite deformation higher-order shell models and rigid-body motions, Int J Solids Struct, 45, 3153, 10.1016/j.ijsolstr.2008.01.020 Kulikov, 2013, Three-dimensional thermoelastic analysis of laminated anisotropic plates, Trans Tambov State Tech Univ, 19 Kulikov, 2012, Exact 3D stress analysis of laminated composite plates by sampling surfaces method, Compos Struct, 94, 3654, 10.1016/j.compstruct.2012.06.006 Kulikov, 2013, Three-dimensional exact analysis of piezoelectric laminated plates via a sampling surfaces method, Int J Solids Struct, 50, 1916, 10.1016/j.ijsolstr.2013.02.015 Kulikov, 2014, Heat conduction analysis of laminated shells by a sampling surfaces method, Mech Res Commun, 55, 59, 10.1016/j.mechrescom.2013.10.018 Ye, 2016, A spectral-sampling surface method for the vibration of 2-D laminated curved beams with variable curvatures and general restraints, Int J Mech Sci, 110, 170, 10.1016/j.ijmecsci.2016.02.012 Ye, 2016, Elasticity solution for vibration of generally laminated beams by a modified Fourier expansion-based sampling surface method, Comput Struct, 167, 115, 10.1016/j.compstruc.2016.02.001 Liu, 2015, An exact spectral-dynamic stiffness method for free flexural vibration analysis of orthotropic composite plate assemblies–Part I: Theory, Compos Struct, 132, 1274, 10.1016/j.compstruct.2015.07.020 Ilanko, 2012, Penalty methods for finding eigenvalues of continuous systems: Emerging challenges and opportunities, Comput Struct, 104, 50, 10.1016/j.compstruc.2012.02.017 Malekzadeh, 2008, A hybrid layerwise and differential quadrature method for in-plane free vibration of laminated thick circular arches, J Sound Vib, 315, 212, 10.1016/j.jsv.2008.02.005 Jin, 2015 Fox, 1968 Zhou, 2013, Three-dimensional free vibration analysis of doubly-curved shells, J Vib Control, 1077546313511844 Reddy, 2002 Qu, 2013, A domain decomposition method for vibration analysis of conical shells with uniform and stepped thickness, J Vibr Acoust Trans ASME, 135, 011014, 10.1115/1.4006753 Qu, 2012, A variational method for free vibration analysis of joined cylindrical-conical shells, J Vib Control, 1077546312456227 Rao, 2004, Analytical solutions for vibrations of laminated and sandwich plates using mixed theory, Compos Struct, 63, 361, 10.1016/S0263-8223(03)00185-5