Effects of Geometric Imperfections on Vibrations of Biaxially Compressed Rectangular Flat Plates

[+] Author and Article Information
David Hui, A. W. Leissa

Department of Engineering Mechanics, The Ohio State University, Columbus, Ohio 43210

J. Appl. Mech 50(4a), 750-756 (Dec 01, 1983) (7 pages) doi:10.1115/1.3167141 History: Received September 01, 1982; Revised April 01, 1983; Online July 21, 2009


This paper deals with the effects of geometric imperfections on the vibration frequencies of simply supported flat plates under in-plane uniaxial or biaxial compression. The analysis is based on a solution of the nonlinear von Kármán equations for finite deflections, incorporating the influence of an initial geometric imperfection. It is found that significant increase in the vibration frequencies may occur for imperfection amplitude of the order of a fraction of the plate thickness, even in the absence of in-plane forces.

Copyright © 1983 by ASME
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