Fundamental Frequency of Simply Supported Rectangular Plates With Linearly Varying Thickness

[+] Author and Article Information
F. C. Appl, N. R. Byers

Department of Mechanical Engineering, Kansas State University, Manhattan, Kan.

J. Appl. Mech 32(1), 163-168 (Mar 01, 1965) (6 pages) doi:10.1115/1.3625713 History: Received December 12, 1963; Online September 15, 2011


Upper and lower bounds for the fundamental eigenvalue (frequency) of a simply supported rectangular plate with linearly varying thickness are given for several taper ratios and plan geometries. These bounds were determined using a previously published method which yields convergent bounds. In the present study, all results have been obtained to within 0.5 percent maximum possible error.

Copyright © 1965 by ASME
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