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RESEARCH PAPERS

Moderately Large Amplitude Plate Vibration Modes

[+] Author and Article Information
J. C. Kennedy

Applied Dynamics and Acoustics Section, Battelle Columbus Laboratories, Columbus, Ohio

J. Mech. Des 102(2), 405-411 (Apr 01, 1980) (7 pages) doi:10.1115/1.3254759 History: Received May 29, 1979; Online November 17, 2009

Abstract

The influence of moderately large amplitudes on the frequency of vibration for the fundamental mode and some higher modes of the simply supported rectangular plate is established. Plate equations that are valid for the moderately large motions are programmed for solution on the analog computer. The effect of eliminating in-plane motions and accelerations on the system response is quantitatively established. It is shown that frequency ratio versus amplitude ratio is aspect ratio dependent and the study shows how simplifying assumptions made in some previous studies affect this dependence.

Copyright © 1980 by ASME
Topics: Vibration
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