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RESEARCH PAPERS

Dualities in Free Vibration of Minimum Surface Membranes

[+] Author and Article Information
B. Tabarrok, Liyong Tong

Department of Mechanical Engineering, University of Victoria, P.O. Box 3055 Victoria, BC, V8W 3P6, Canada

J. Appl. Mech 60(4), 1020-1026 (Dec 01, 1993) (7 pages) doi:10.1115/1.2900969 History: Received March 30, 1992; Revised October 07, 1992; Online March 31, 2008

Abstract

For the linear free vibration of minimum surface membranes, the governing equations and the associated variational functional are derived. Using the basic geometrical characteristics of any two minimum surface membranes, the analysis brings to light the existence of geometrically different surface membranes with identical surface areas, natural frequencies, and vibrating modes.

Copyright © 1993 by The American Society of Mechanical Engineers
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