A Multiparameter Perturbation Approach for the Vibration of Plates Subject to Arbitrary, Independent, In-Plane Loads

[+] Author and Article Information
S. F. Bassily

Aerospace Systems Group, RCA Ltd., St. Anne de Bellevue, Montreal, Quebec, Canada

S. M. Dickinson

The University of Western Ontario, London, Ontario, Canada

J. Appl. Mech 41(4), 1081-1086 (Dec 01, 1974) (6 pages) doi:10.1115/1.3423438 History: Received December 01, 1973; Revised April 01, 1974; Online July 12, 2010


A multiparameter perturbation approach for the solution of a class of differential equations is developed and is applied to the study of the vibration of rectangular plates under arbitrary in-plane loading fields describable by linear combinations of two or more independent loading parameters. The solution takes the form of a power series involving all the independent loading parameters and is valid over whole ranges of those parameters. Numerical results for fully clamped plates subject to uniform, combined, direct, and shear in-plane loads are presented in order to demonstrate the utility of the approach.

Copyright © 1974 by ASME
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