Abstract
A simple method to establish the normal mode functions of finite periodic panels with various end-boundary conditions is presented. These functions are then subsequently made use of to estimate the response characteristics of one- and two-dimensional finite periodic panels subjected to acoustic pressure fields. The results obtained are consistent with existing ones. The essential advantage of the present method is that it requires less computer time and memory for the solution of the Galerkin equations than the finite element method. However, to establish these equations the algebra involved is more than that used for simple polynomial functions. The method has the capability to predict the response at higher frequencies, where simple polynomials fail to do so. Critical conditions for the maximum peak responses for one- and two-dimensionalfinite periodic structures are discussed. These results are useful for the design of periodically supported panels subjected to jet noise and random convected pressure fields.
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