Thickness Oscillations in Deformed Elastic Plate

[+] Author and Article Information
M. Hirao, H. Fukuoka

Department of Mechanical Engineering, Osaka University, Toyonaka, Osaka 560, Japan

J. Appl. Mech 46(3), 663-666 (Sep 01, 1979) (4 pages) doi:10.1115/1.3424623 History: Received September 01, 1978; Revised February 01, 1979; Online July 12, 2010


The theory of elastic waves superposed on finite deformation is applied to the study of thickness oscillations in a deformed elastic plate. Perturbation scheme, based on multiple scales, is employed to obtain a set of governing equations for the amplitudes of transverse thickness oscillations which are perpendicularly polarized with each other. It is shown that such oscillations, being strongly coupled by the initial deformation, undergo slow and sinusoidal amplitude modulation and slight shift in the resonance frequencies. The results suggest new techniques of experimental stress analysis.

Copyright © 1979 by ASME
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