Modal analysis of acoustically-loaded structures via integral equation methods

Kirkup, Stephen Martin orcid iconORCID: 0000-0002-9680-7778 and Amini, S. (1991) Modal analysis of acoustically-loaded structures via integral equation methods. Computers & Structures, 40 (5). pp. 1279-1285. ISSN 00457949

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Official URL: http://dx.doi.org/10.1016/0045-7949(91)90398-6

Abstract

In this paper a numerical method for determining the modal properties of a structure in contact with an acoustic medium is explored. The acoustic field is reformulated as an integral equation. The application of collocation transforms the problem into one of solving a non-linear eigenvalue problem. Approximation of each matrix component by a quadratic polynomial in the wavenumber range transforms this into a standard generalized linear eigenvalue problem. The numerical method is applied to the two-dimensional problem of a square with one face assuming dynamic properties, the other faces are rigid with the acoustic field lying exterior to the square. A set of tests are carried out and results given.


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