Abstract

This paper deals with some numerical experiments on the determination of natural frequencies of vibration of doubly connected membranes of complicated boundary shape. Finite element results are compared with values obtained using an approximate method which consists of constructing appropriate coordinate functions which identically satisfy the boundary conditions and use of a variational approach to generate a simple frequency equation. The results are in good agreement with values previously published in the open literature which have been calculated using a conformal mapping-variational approach.

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