Application of Reissner’s Variational Principle to Cantilever Plate Deflection and Vibration Problems

[+] Author and Article Information
H. J. Plass

Defense Research Laboratory, The University of Texas, Austin, Tex.

J. H. Gaines

The University of Texas, Austin, Tex.

C. D. Newsom

Boeing Airplane Company, Wichita, Kan.

J. Appl. Mech 29(1), 127-135 (Mar 01, 1962) (9 pages) doi:10.1115/1.3636444 History: Received December 02, 1960; Online September 16, 2011


A variational principle due to E. Reissner has been rewritten in a form which is applicable to small deflection problems for thin plates. The modified principle is used to obtain approximations to static deflection and vibration problems of square and skew cantilever plates of uniform thickness.

Copyright © 1962 by ASME
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