The Inflation and Contact Constraint of a Rectangular Mooney Membrane

[+] Author and Article Information
W. W. Feng, P. Huang

Department of Mechanical Engineering, Carnegie-Mellon University, Pittsburgh, Pa.

J. T. Tielking

Highway Safety Research Institute, The University of Michigan, Ann Arbor, Mich.

J. Appl. Mech 41(4), 979-984 (Dec 01, 1974) (6 pages) doi:10.1115/1.3423494 History: Received January 01, 1974; Revised April 01, 1974; Online July 12, 2010


This paper presents a minimum energy solution for the deformed configuration of an edge-bonded rectangular membrane loaded with uniform pressure and contacting a frictionless rigid constraint. A technique borrowed from optimization theory is employed to derive a potential energy functional which contains the contact constraint condition with no increase in the number of independent functions. This energy functional is minimized by a series of geometrically admissible, continuous, coordinate functions with constant coefficients determined by the Ritz procedure. The variable-metric method, as generalized by Fletcher and Powell, is used to find the coefficients in the energy minimizing series solutions. The results presented show the contact boundary and the distortion of a square gridwork laid on the undeformed membrane.

Copyright © 1974 by ASME
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