Nonlinear Flexural Vibrations of a Clamped Circular Plate

[+] Author and Article Information
G. C. Kung

Power Systems, Westinghouse Electric Corporation, Lester, Pa.

Y.-H. Pao

Department of Theoretical and Applied Mechanics, Cornell University, Ithaca, N. Y.

J. Appl. Mech 39(4), 1050-1054 (Dec 01, 1972) (5 pages) doi:10.1115/1.3422827 History: Received June 10, 1971; Online July 12, 2010


Nonlinear flexural vibration of a circular plate clamped at its edge are investigated both experimentally and theoretically. The investigation has been restricted to the first axisymmetric mode. The time-dependent part of the nonlinear plate equations are reduced to Duffing’s equation by applying a one-term Ritz-Galerkin’s procedure. Test results are in good agreement with the theoretical calculations which indicate a non-linearity of hardening type for large amplitude vibrations. The period of vibration decreases by 35 percent when the amplitude is twice the thickness of the plate. The “jumps” in the amplitude-frequency response curves are observed to occur during a transition of a few seconds and are accompanied by a beating phenomenon.

Copyright © 1972 by ASME
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