A class of expansion functions for finite elastic plates in structural acoustics

Problems in structural acoustics involving finite plates can be formulated using integral equation methods. The unknown function within the integral equation must satisfy the plate edge conditions, and hence appropriate expansion functions must be used. The expansion functions we develop are aimed at treating a wide class of problems. Once such functions are found, the solution process and numerical implementation are relatively straightforward. The speed of convergence to ``exact'' comparison solutions is fast even in the singular limit of high frequencies and wide plates. A set of expansion functions with the required properties is constructed and some illustrative problems are treated.

Co-authored with Stefan Llewellyn-Smith.

J. Acoustical Soc. America, 106, 3128--3134, 1999