On the Occurrence of Simultaneous Resonances in Parametrically-Excited Rectangular Plates

[+] Author and Article Information
G. L. Ostiguy, L. P. Samson, H. Nguyen

Dept. of Mechanical Engineering, Ecole Polytechnique, P.O. Box 6079, Station A, Montreal, Quebec, Canada, H3C 3A7

J. Vib. Acoust 115(3), 344-352 (Jul 01, 1993) (9 pages) doi:10.1115/1.2930355 History: Received September 01, 1991; Online June 17, 2008


The present work deals primarily with the problem of the occurrence of simultaneous resonances in parametrically-excited rectangular plates. The analysis is based on the dynamic analog of the von Karman’s large-deflection theory and the governing equations are satisfied using the orthogonality properties of the assumed functions. The temporal response of the damped system is determined by the generalized asymptotic method and various types of simultaneous resonances are investigated. An experimental investigation is performed to verify the analytical predictions and to possibly discover new phenomena not predicted by the theory. Experiments are conducted for four different sets of boundary conditions. Analytically defined simultaneous resonances are experimentally observed and isolated.

Copyright © 1993 by The American Society of Mechanical Engineers
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