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RESEARCH PAPERS

On Vibrations of Pretwisted Rectangular Plates

[+] Author and Article Information
R. P. Nordgren

Institute of Engineering Research, University of California, Berkeley, Calif.

J. Appl. Mech 29(1), 30-32 (Mar 01, 1962) (3 pages) doi:10.1115/1.3636493 History: Received October 26, 1960; Online September 16, 2011

Abstract

This paper contains an analysis of the free vibrations of uniformly pretwisted rectangular plates, utilizing the exact equations of classical shallow-shell theory. Specifically, solutions are given (a) for two opposite edges simply supported and the other two free, and (b) for all four edges simply supported. Numerical results obtained for case (b) are compared with previous results for the torsional vibrations of pretwisted beams. A simple frequency equation is obtained for case (b), permitting a detailed study of the effects of both pretwist and longitudinal inertia.

Copyright © 1962 by ASME
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