Nonlinear Oscillations of Laminated, Anisotropic, Rectangular Plates

[+] Author and Article Information
J. N. Reddy, W. C. Chao

Department of Engineering Science and Mechanics, Virginia Polytechnic Institute and State University, Blacksburg, Va. 24061

J. Appl. Mech 49(2), 396-402 (Jun 01, 1982) (7 pages) doi:10.1115/1.3162100 History: Received June 01, 1981; Revised October 01, 1981; Online July 21, 2009


A finite-element analysis of the equations governing the large-amplitude, free, flexural oscillations of laminated, anisotropic, rectangular plates is presented. The equations account for transverse shear strains as well as large rotations. Numerical results of nonlinear fundamental frequencies are presented for rectangular plates of both angle-ply and cross-ply constructions. The effects of amplitude, boundary conditions, transverse shear, aspect ratio, orientation of layers, and materials anisotrophy on natural frequencies are investigated. The present finite element results agree with other approximate solutions available in the literature.

Copyright © 1982 by ASME
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