Forced Plane Strain Motion of Cylindrical Shells—A Comparison of Shell Theory With Elasticity Theory

[+] Author and Article Information
P. S. Pawlik, H. Reismann

State University of New York at Buffalo, Buffalo, N. Y.

J. Appl. Mech 40(3), 725-730 (Sep 01, 1973) (6 pages) doi:10.1115/1.3423080 History: Received March 01, 1972; Online July 12, 2010


A radially directed load is suddenly applied to a portion of the outer surface of a circular cylindrical shell which responds in a state of plane strain. An analytical solution for the resulting dynamic response is obtained within the context of linear elasticity theory, Flügge shell theory, and an “improved” shell theory. A comparison of results for specific loading conditions indicates that the improved theory is far superior to the Flügge theory in terms of predicting both the magnitude and characteristics of the response. However, as expected, neither shell theory satisfactorily predicts the wave character of the initial response.

Copyright © 1973 by ASME
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