Longitudinal Impact of a Semi-Infinite, Cylindrical, Viscoelastic Shell

[+] Author and Article Information
R. B. Testa

Columbia University, New York, N. Y.

H. H. Bleich

Institute of Flight Structures, Columbia University, New York, N. Y.

J. Appl. Mech 32(4), 813-820 (Dec 01, 1965) (8 pages) doi:10.1115/1.3627320 History: Received January 18, 1965; Revised April 28, 1965; Online September 15, 2011


The response of a semi-infinite, cylindrical, viscoelastic shell to longitudinal impact is studied using the Laplace transform. The evaluation by asymptotic methods for large values of time also gives error estimates defining the range of applicability. It is found that, at sufficiently large distances from the point of impact, the oscillatory character of the response of an elastic shell to longitudinal impact is suppressed by viscous effects, resulting in nearly identical solutions for a viscoelastic shell and for an infinitely thin viscoelastic rod of the same material. In addition, it is shown that the solutions for shell and rod, with limitations, are also nearly identical for smaller values of time, where nonasymptotic solutions for the rod apply.

Copyright © 1965 by ASME
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