TY - EJOU AU - Qian, L. F. AU - Batra, R. C. AU - Chen, L. M. TI - Free and Forced Vibrations of Thick Rectangular Plates using Higher-Order Shear and Normal Deformable Plate Theory and Meshless Petrov-Galerkin (MLPG) Method T2 - Computer Modeling in Engineering \& Sciences PY - 2003 VL - 4 IS - 5 SN - 1526-1506 AB - We use a meshless local Petrov-Galerkin (MLPG) method to analyze three-dimensional infinitesimal elastodynamic deformations of a homogeneous rectangular plate subjected to different edge conditions. We employ a higher-order plate theory in which both transverse shear and transverse normal deformations are considered. Natural frequencies and the transient response to external loads have been computed for isotropic and orthotropic plates. Computed results are found to agree with those obtained from the analysis of the 3-dimensional problem either analytically or by the finite element method. KW - DO - 10.3970/cmes.2003.004.519