Effects of Geometric Imperfections on Large-Amplitude Vibrations of Rectangular Plates With Hysteresis Damping

[+] Author and Article Information
David Hui

Department of Engineering Mechanics, The Ohio State University, Columbus, Ohio 43210

J. Appl. Mech 51(1), 216-220 (Mar 01, 1984) (5 pages) doi:10.1115/1.3167582 History: Received September 01, 1982; Revised July 01, 1983; Online July 21, 2009


The present paper deals with the effects of initial geometric imperfections on large-amplitude vibrations of simply supported rectangular plates. The vibration mode, the geometric imperfection, and the forcing function are taken to be of the same spatial shape. It is found that geometric imperfections of the order of a fraction of the plate thickness may significantly raise the free linear vibration frequencies. Furthermore, contrary to the commonly accepted theory that large-amplitude vibrations of plates are of the hardening type, the presence of small geometric imperfections may cause the plate to exhibit a soft-spring behavior. The effects of hysteresis (structural) damping on the vibration amplitude are also examined.

Copyright © 1984 by ASME
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