Free Oscillations of Edge-Connected Simply Supported Plate Systems

[+] Author and Article Information
Eric E. Ungar

Bolt Beranek and Newman, Inc., Cambridge, Mass.

J. Eng. Ind 83(4), 434-439 (Nov 01, 1961) (6 pages) doi:10.1115/1.3664551 History: Received July 27, 1960; Online December 09, 2011


A simple semigraphical method for calculating the natural frequencies of two-plate systems is developed, a two-plate system being one made up of two rectangular plates simply supported at all edges and joined at a common edge. Charts for easy determination of the afore-mentioned natural frequencies are developed. One of these gives, as a by-product, the natural frequencies of rectangular plates (of any dimensions) having one edge clamped, the remaining three simply supported. It is demonstrated that the higher natural frequencies of two-plate systems are very nearly equal to those of the individual component plates. Equations for the mode shapes are also given.

Copyright © 1961 by ASME
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