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RESEARCH PAPERS

Axisymmetric Elastic Waves Excited by a Point Source in a Plate

[+] Author and Article Information
R. L. Weaver, Yih-Hsing Pao

Department of Theoretical and Applied Mechanics, Cornell University, Ithaca, N.Y. 14853

J. Appl. Mech 49(4), 821-836 (Dec 01, 1982) (16 pages) doi:10.1115/1.3162623 History: Received May 01, 1981; Revised March 01, 1982; Online July 21, 2009

Abstract

The response of an infinite elastic plate to dynamic loading is presented by the method of superposition of normal modes, a method particularly appropriate in the intermediate and far field. The method is compared with the method of integral transforms. Explicit expressions are given for the case of loading by a concentrated vertical step force. These expressions are evaluated numerically over a range of distances from 4 to 40 plate thicknesses. The numerical results are compared with qualitative stationary phase analyses and with the exact results of generalized ray theory.

Copyright © 1982 by ASME
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