Large-Amplitude Oscillations of Unsymmetrically Laminated Anisotropic Rectangular Plates Including Shear, Rotatory Inertia, and Transverse Normal Stress

[+] Author and Article Information
K. S. Sivakumaran

Department of Civil Engineering and Engineering Mechanics, McMaster University, Hamilton, Ontario, Canada L85 4L7

C. Y. Chia

Department of Civil Engineering, The University of Calgary, Calgary, Alberta, Canada T2N 1N4

J. Appl. Mech 52(3), 536-542 (Sep 01, 1985) (7 pages) doi:10.1115/1.3169097 History: Received March 01, 1983; Revised May 01, 1984; Online July 21, 2009


This paper is concerned with nonlinear free vibrations of generally laminated anisotropic elastic plates. Based on Reissner’s variational principle a nonlinear plate theory is developed. The effects of transverse shear, rotatory inertia, transverse normal stress, and transverse normal contraction or extension are included in this theory. Using the Galerkin procedure and principle of harmonic balance, approximate solutions to governing equations of unsymmetrically laminated rectangular plates including transverse shear, rotatory inertia, and transverse normal stress are formulated for various boundary conditions. Numerical results for the ratio of nonlinear frequency to linear frequency of unsymmetric angle-ply and cross-ply laminates are presented graphically for various values of elastic properties, fiber orientation angle, number of layers, and aspect ratio and for different boundary conditions. Present results are also compared with available data.

Copyright © 1985 by ASME
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