Vibrations of an Inextensible, Air-Inflated, Cylindrical Membrane

[+] Author and Article Information
R. H. Plaut, T. D. Fagan

Department of Civil Engineering, Virginia Polytechnic Institute and State University, Blacksburg, VA 24061

J. Appl. Mech 55(3), 672-675 (Sep 01, 1988) (4 pages) doi:10.1115/1.3125847 History: Received October 13, 1987; Revised February 01, 1988; Online July 21, 2009


Two-dimensional vibrations of a long cylindrical membrane are considered. The membrane is attached to a horizontal base along two generators and is inflated with air. It is assumed that the membrane material is inextensible. The weight of the membrane is included in the analysis. First, the equilibrium shape of the cross-section is determined, and then small vibrations about this configuration are studied. It is found that the vibration frequencies decrease as the membrane weight is increased.

Copyright © 1988 by ASME
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