On the Use of Beam Functions for Problems of Plates Involving Free Edges

[+] Author and Article Information
S. F. Bassily

RCA, Montreal, P. Q., Canada

S. M. Dickinson

The University of Western Ontario, London, Ontario, Canada

J. Appl. Mech 42(4), 858-864 (Dec 01, 1975) (7 pages) doi:10.1115/1.3423720 History: Received August 01, 1974; Revised April 01, 1975; Online July 12, 2010


The inadequacy of beam vibration mode shapes when used in the Ritz method to obtain approximate solutions for flexural problems concerning plates involving free edges is demonstrated. A new set of functions, related to beam mode shapes, is postulated which allows considerably more accurate treatment of such plates. Several numerical examples concerning static deflection and free vibration of plates involving free edges are examined and serve to illustrate the applicability and accuracy of the new functions and to further demonstrate the inadequacy of the ordinary beam functions.

Copyright © 1975 by ASME
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