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.
Issue Section:Research Papers
Topics:Dynamic response, Membranes, Stress, Transients (Dynamics), Vibration
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