The Membrane Shell as an Underconstrained Structural System

[+] Author and Article Information
E. N. Kuznetsov

Department of General Engineering, University of Illinois at Urbana-Champaign, Urbana, Ill. 61801-2996

J. Appl. Mech 56(2), 387-390 (Jun 01, 1989) (4 pages) doi:10.1115/1.3176094 History: Received June 06, 1988; Revised September 27, 1988; Online July 21, 2009


Statical-kinematic analysis is employed to provide a new perspective on the structural behavior of membrane shells and the related limitations of the linear membrane theory. The obtained results include a resolution of an apparent paradox in the statics of membranes, a description and explanation of the peculiar behavior of toroidal membranes with an arbitrary cross-section, and a stronger version of a central theorem in the membrane theory.

Copyright © 1989 by ASME
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