Open Access

ARTICLE

Free and Forced Vibrations of Thick Rectangular Plates using Higher-Order Shear and Normal Deformable Plate Theory and Meshless Petrov-Galerkin (MLPG) Method

L. F. Qian^1,2, R. C. Batra³, L. M. Chen¹

1 Nanjing University of Science and Technology, Nanjing 210094, P. R. China
2 Presently visiting scholar at Virginia Polytechnic Institute and State University
3 Department of Engineering Science and Mechanics, Virginia Polytechnic Institute and State University, MC 0219 Blacksburg, VA 24061

Computer Modeling in Engineering & Sciences 2003, 4(5), 519-534. https://doi.org/10.3970/cmes.2003.004.519

Abstract

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.

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