FORCED TRANSIENT MOTION OF A RIGID BODY BONDED TO A DEFORMABLE CONTINUUM.

P. D. Chilton*, J. D. Achenbach

*Corresponding author for this work

Research output: Contribution to journalConference articlepeer-review

Abstract

The dynamic response of a rigid mass supported by a deformable continuum is investigated, for the case that the mass is subjected to a load of arbitrary time-dependence. The motion of the mass generates waves in the supporting continuum. The accompanying radiation of energy provides a damping mechanism for the motion of the mass. In this paper two-dimensional problems are investigated for which the wave motion in the supporting continuum is governed by a single wave equation. Two examples to which the results apply are, normal motions of a rigid line element which is supported by a stretched membrane, and antiplane motions of a rigid strip which is bonded to an elastic half space. The traction between the rigid body and the supporting continuum is determined in subsequent intervals of time, and the velocity and displacement of the mass are computed.

Original languageEnglish (US)
JournalAmerican Society of Mechanical Engineers (Paper)
Issue number75 -APMW-52
StatePublished - Jan 1 1975
EventUnknown conference -
Duration: Mar 25 1975Mar 27 1975

ASJC Scopus subject areas

  • Mechanical Engineering

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