Affiliation:
1. Department of Mechanical Engineering, Yamagata University, Yonezawa, Japan
Abstract
This paper deals with vibration and dynamic response problems of an arbitrary-shaped membrane subjected to general dynamic loads. The exact solution for an equation of motion in terms of general dynamic loads is used, and the boundary conditions of the membrane are satisfied by means of the Fourier expansion method. The results of free vibration and dynamic response problems are shown in generalized forms for arbitrary-shaped membranes. As examples of these problems, free vibrations of elliptical and crescent-shaped membranes and dynamic responses of elliptical membranes to annular impact loads are discussed by applying the Laplace transform method. For some typical cases, the results obtained are compared with those of the exact method.
Subject
Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics
Cited by
35 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献