Forced Axisymmetric Motions of Circular Elastic Plates

[+] Author and Article Information
R. S. Weiner

Bell Telephone Laboratories, Inc., Whippany, N. J.

J. Appl. Mech 32(4), 893-898 (Dec 01, 1965) (6 pages) doi:10.1115/1.3627332 History: Received November 13, 1964; Online September 15, 2011


Axisymmetric motions of a circular elastic plate are considered here according to the Poisson-Kirchhoff plate theory. A concentric ring loading of arbitrary time dependence is examined and used to construct solutions for a concentrated central load and for a uniform pressure loading. The boundary of the plate is considered to be elastically built-in in a manner that prevents transverse edge motion and provides a restoring edge moment linearly related to edge rotation. Thus, limiting cases are a clamped plate and a simply supported plate. Finally, a discussion relating this work to the integral-transform approach of Sneddon is presented to enable physical interpretation and generalization of his approach.

Copyright © 1965 by ASME
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