Abstract
AbstractA damped system eigenvalue analysis of acoustical cavities using the boundary element method is presented. The acoustic boundary element eigenproblem formulation found in the literature is extended to include sound absorption in acoustical cavities. A dissipative term is included in the eigenvalue matrix equation to account for boundary absorption. The resulting damped system eigenvalue problem is solved using a new Lanczos subspace algorithm for quadratic eigenproblems. Since the boundary element matrices are unsym‐metric, the Lanczos algorithm presented is in its most general form for unsymmetric quadratic eigenprob‐lems. Examples are presented to show the application of the method in computing the eigenfrequencies of acoustic cavities with sound absorption.
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