RESEARCH PAPERS: Mechanisms Papers

Dynamic Response of Pressurized Thin Cylindrical Shells Subjected to Torsional Loads

[+] Author and Article Information
P. G. Kessel, N. K. Liao

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

J. Eng. Ind 95(3), 797-802 (Aug 01, 1973) (6 pages) doi:10.1115/1.3438228 History: Received June 06, 1972; Online July 15, 2010


This paper presents a theoretical analysis of the transient and steady-state response of a thin cylindrical shell of finite length, simply supported at both ends, under a uniform initial biaxial stress and subjected to either a circumferentially tangential harmonic point force of a sinusoidally distributed harmonic line load acting in the circumferential direction. The analyses are based on both Flugge’s and Donnell’s theories. Numerical results of the steady-state response are presented for both theories to illustrate the effects of various relevant parameters on the dynamic deflection, and to provide a direct comparison between Donnell’s and Flugge’s theories for dynamic loadings. This paper establishes the range of shell geometry for which Donnell’s equations give satisfactory results in predicting the steady-state response. The dynamic behavior after the first resonant frequency and the effect of initial stress on the dynamic response are also pointed out.

Copyright © 1973 by ASME
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