Transient Response of a Circular Cylinder of Arbitrary Thickness, in an Elastic Medium, to a Plane Dilatational Wave

[+] Author and Article Information
Hyman Garnet, Jacques Crouzet-Pascal

Research Department, Grumman Aircraft Engineering Corporation, Bethpage, N. Y.

J. Appl. Mech 33(3), 521-531 (Sep 01, 1966) (11 pages) doi:10.1115/1.3625117 History: Received May 04, 1965; Revised December 21, 1965; Online September 15, 2011


The response of a hollow cylinder of arbitrary thickness, embedded in an elastic medium, to a transient plane pressure wave is presented. The solution is valid within the scope of the linear theory of elasticity. The technique for obtaining the solutions relies upon (a) the construction of a train of incident pulses from steady-state components, where each pulse represents the time history of the transient stress in the incident wave, and (b) the existence of a physical mechanism which, between pulses, restores the disturbed particles of the cylinder and the surrounding medium to an unstrained state of rest. The validity of the technique is demonstrated by (a) comparisons with published data for limiting cases and (b) results obtained for a broad range of values of cylinder and surrounding medium parameters. The influence on the cylinder response of liner thickness and cylinder-medium impedance mismatch, when the incident wave is a step pulse, is investigated.

Copyright © 1966 by ASME
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