Vibration of an Infinitely Extending Plate Resting on an Elastic Foundation

[+] Author and Article Information
Kazuyosi Ono

Kanazawa University, Kanazawa City, Isikawa, Japan

J. Appl. Mech 30(3), 355-362 (Sep 01, 1963) (8 pages) doi:10.1115/1.3636561 History: Received January 16, 1962; Revised December 28, 1962; Online September 16, 2011


Free vibrations and forced vibrations of an infinitely extending plate resting on an elastic foundation and carrying a mass are solved. Then the amplitudes of the free vibrations produced by an impulse applied to the mass on the plate are determined, and it is found that two kinds of vibration are produced in the plate: One is a free vibration and the other is a special vibration, which consists of an infinite number of free vibrations and resembles a damped oscillation.

Copyright © 1963 by ASME
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