Vibrations of Moderately Elliptic Clamped Plates: A Perturbation Scheme for Eigenvalues

[+] Author and Article Information
R. Parnes

Department of Solid Mechanics, Materials and Structures, Tel Aviv University, 69978 Ramat Aviv, Israel

J. Appl. Mech 58(3), 724-728 (Sep 01, 1991) (5 pages) doi:10.1115/1.2897254 History: Received November 24, 1987; Revised November 22, 1988; Online March 31, 2008


Frequencies of vibration of an elliptic plate, clamped along the edge, are determined by means of a perturbation scheme based on a boundary perturbation method (B.P.M.). Eigenvalues are obtained corresponding to higher modes of vibration containing elliptic nodes, in addition to the fundamental mode. Comparison with previously derived values in the fundamental mode reveals that the present scheme leads to accurate results for moderately elliptic plates.

Copyright © 1991 by The American Society of Mechanical Engineers
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