Point-Force Excitation of an Elastic Plate With an Embedded Cavity

[+] Author and Article Information
A. Boström, A. Karlsson

Institute of Theoretical Physics, Chalmers University of Technology, S-412 96 Göteborg, Sweden

J. Appl. Mech 52(4), 937-942 (Dec 01, 1985) (6 pages) doi:10.1115/1.3169172 History: Received June 01, 1984; Revised January 01, 1985; Online July 21, 2009


The propagation of elastic waves in a thick plate containing an embedded cavity is considered. The full elastodynamic equations are solved and both time-harmonic and pulse propagations are treated. The time-harmonic problem is solved using the null field approach, a method whose main characteristics are surface integral representations and expansions in spherical and planar vector wave functions. To obtain the pulse response, a Fourier integral in frequency is employed. Numerical examples are given showing the fields in both the time and frequency domains at a few selected locations on the plate surfaces when the plate is excited by a point force. Only low and intermediate frequencies are included and the pulse width is thus somewhat larger than the dimensions of the spheroidal cavity.

Copyright © 1985 by ASME
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