Abstract
The free vibration analysis of general convex polygonal membranes is carried out. The selected based functions for the analysis are wave-type functions which propagate in one direction and vary sinusoidally in the other direction. The key feature of the present technique is to use the base functions that satisfy the governing differential equation exactly, so that only the boundary conditions need to be satisfied. If base functions are not chosen carefully, the dependence problem of the base functions may occur and a technique to select independent base functions is suggested.
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