Dynamic Response of a Membrane With Both Curved and Straight Line Boundaries

[+] Author and Article Information
K. Nagaya

Department of Mechanical Engineering, Yamagata University, Yonezawa, Japan

J. Appl. Mech 46(3), 667-671 (Sep 01, 1979) (5 pages) doi:10.1115/1.3424624 History: Received January 01, 1979; Revised March 01, 1979; Online July 12, 2010


In this paper a method for solving vibration and dynamic response problems of a membrane having an arbitrary shaped boundary consisting of curved and straight lines is presented. The frequency equation for the arbitrary-shaped membrane is given, and the solution for the membrane subjected to general transient load is obtained in a generalized form. As a numerical example, the response of a parabolic membrane subjected to a uniformly distributed exponentially decaying load is investigated.

Copyright © 1979 by ASME
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