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RESEARCH PAPERS

Random Response of a Rigid Sphere Embedded in a Viscoelastic Medium and Related Problems

[+] Author and Article Information
A. I. Beltzer

Holon Center for Technological Education, 52 Golomb Street, P.O. Box 305, Holon, Israel

J. Appl. Mech 47(3), 499-503 (Sep 01, 1980) (5 pages) doi:10.1115/1.3153722 History: Received July 01, 1979; Revised January 01, 1980; Online July 21, 2009

Abstract

Random and harmonic responses are considered for a rigid movable sphere embedded in a viscoelastic medium. The solution takes into account the filtering effect of the viscoelastic medium on the traveling random waves. The sphere can be also randomly located with respect to a plane at which the spectral density of incident stochastic waves is prescribed. For a Maxwellian medium with small losses the exact stationary response is derived. The results regarding the nonstationary response of the sphere embedded in a Kelvin-Voight medium are obtained numerically. It is shown that the results obtained are applicable to the prediction of mechanical properties of composite materials, as well as to those of buried structures, when these objects are excited by incompletely known or random disturbances.

Copyright © 1980 by ASME
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