A Multiple-Mode Approach to Large-Amplitude Vibration of Moderately Thick Elliptical Plates

[+] Author and Article Information
M. Sathyamoorthy

Department of Mechanical and Industrial Engineering, Clarkson College of Technology, Potsdam, N.Y. 13676

M. E. Prasad

Simmonds Precision, Norwich, N.Y. 13815

J. Appl. Mech 51(1), 153-158 (Mar 01, 1984) (6 pages) doi:10.1115/1.3167560 History: Received March 01, 1983; Revised June 01, 1983; Online July 21, 2009


Based on a multiple-mode analysis, solutions to the nonlinear equations of motion are presented for elliptical plates in terms of variations of nonlinear periods with amplitudes of vibration. The governing equations are written in terms of lateral displacement w and stress function F and the effects of transverse shear deformation and rotatory inertia are incorporated into these equations. For the multiple-mode approach considered in this paper, an exact solution to the stress function is determined. Effects of geometric nonlinearity, shear deformation, rotatory inertia, plate geometry, and modal interaction on the vibration behaviors of elliptical plates are investigated in detail.

Copyright © 1984 by ASME
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