Nonlinear Response of a Cylindrical Shell to an Impulsive Pressure

[+] Author and Article Information
E. G. Lovell

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

I. K. McIvor

Department of Engineering Mechanics, University of Michigan, Ann Arbor, Mich.

J. Appl. Mech 36(2), 277-284 (Jun 01, 1969) (8 pages) doi:10.1115/1.3564621 History: Received July 15, 1968; Revised December 26, 1968; Online September 14, 2011


When a circular cylindrical shell (plane strain) is subjected to a uniform radial impulse, the resulting circular mode may be unstable. In such a case flexural motion is excited, resulting in rather large displacements and stress. A previous nonlinear analysis [1]1 used a linear inextensionality constraint and displacement representation for the flexural response. A formulation employing a nonlinear inextensionality constraint is presented in this paper, and a comparison is made with the earlier work. The most significant result is a fundamental difference between the equations of motion; in this analysis the nonlinear modal coupling is primarily inertial. The condition for stability of the circular mode is unaffected, but substantial differences may occur in the long-term (nonlinear) response.

Copyright © 1969 by ASME
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