High-Frequency Response of an Elastic Spherical Shell

[+] Author and Article Information
David Feit, M. C. Junger

Cambridge Acoustical Associates, Inc., Cambridge, Mass.

J. Appl. Mech 36(4), 859-864 (Dec 01, 1969) (6 pages) doi:10.1115/1.3564782 History: Received December 09, 1968; Revised April 22, 1969; Online September 14, 2011


The classical solution of the point-excited spherical shell, in the form of a normal-mode series, converges poorly for large frequencies. By applying the Watson-Sommerfeld transformation to this series, the response is expressed as a sum of only two terms. These terms can be interpreted, respectively, as the near-field response and propagating flexural wave field of an infinite flat plate, the latter term being multiplied by a factor whose maxima coincide with the natural frequencies of the shell.

Copyright © 1969 by ASME
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