Approximate Analysis of the Forced Vibration Response of Plates

[+] Author and Article Information
A. W. Leissa

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

Yi-Tzong Chern

Engineering Technology Associates, Inc., Madison Heights, MI 48071

J. Vib. Acoust 114(1), 106-111 (Jan 01, 1992) (6 pages) doi:10.1115/1.2930222 History: Received October 01, 1990; Online June 17, 2008


An approximate method is presented for the forced vibration analysis of plates. It is applicable in excitation frequency ranges close to resonances. A displacement shape for the plate in the resonance region is assumed, which is either an exact or approximate representation for the corresponding free vibration mode shape. The response amplitude is determined from a proper energy balance. The method is demonstrated for two types of plates—simply supported rectangular and clamped circular—subjected to uniform transverse exciting pressure. Special considerations are indicated for cases when degenerate or closely spaced resonant frequencies are present. Both viscous and material damping are treated. Numerical comparisons between approximate and exact forced vibration solutions are made to demonstrate the accuracy of the method.

Copyright © 1992 by The American Society of Mechanical Engineers
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