A Method for Investigating Certain Eigenvalue Problems of the Buckling and Vibration of Plates

[+] Author and Article Information
H. D. Conway

Department of Engineering Mechanics, Cornell University, Ithaca, N. Y.

A. W. Leissa

Department of Engineering Mechanics, The Ohio State University, Columbus, Ohio

J. Appl. Mech 27(3), 557-558 (Sep 01, 1960) (2 pages) doi:10.1115/1.3644040 History: Received August 18, 1959; Online September 16, 2011


In a recent investigation, a method was given for the approximate solution of certain boundary-value problems. This method lends itself well to the use of the electronic digital computer and is extended here to investigate the eigenvalue problems of the buckling under two-dimensional hydrostatic loading and the vibration of thin plates. The two-dimensional hydrostatic buckling loads of clamped square and equilateral-triangular plates are found by this method, the values agreeing well with the results obtainable by other methods where these results are known.

Copyright © 1960 by ASME
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