Dynamic Response of Cylindrical Shells With Initial Stress and Subjected to General Three-Dimensional Surface Loads

[+] Author and Article Information
E. N. K. Liao

Nuclear Energy Systems, Westinghouse Electric Corporation, Pittsburgh, Pa.

P. G. Kessel

Department of Engineering Mechanics, University of Wisconsin, Madison, Wis.

J. Appl. Mech 38(4), 978-986 (Dec 01, 1971) (9 pages) doi:10.1115/1.3408985 History: Received April 01, 1970; Revised October 05, 1970; Online July 12, 2010


This paper presents general solutions for both Flügge’s and Donnell’s equations governing the displacements of the midsurface of a thin circular cylindrical shell, simply supported at both ends, of finite length, under initial twoway stress and subjected to general time-dependent surface loads. Analytical solutions are presented to the specific problems of a stationary radial point force and a stationary point couple. A numerical comparison of Donnell’s and Flügge’s theories is made for these specific problems for a wide variety of shell parameters including initial stress. It is found for the case of a dynamic point force or point couple that Donnell’s theory is satisfactory for thin and very short shells (h/a ≤ 0.01 and l/a ≤ 2).

Copyright © 1971 by ASME
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