Computational methods for the acoustic modal analysis of an enclosed fluid with application to a loudspeaker cabinet
S. M. Kirkup and M. A. Jones
Applied Acoustics
Volume 48, Issue 4 , 1996, Pages 275-299
Computational methods for the acoustic modal analysis of an enclosed fluid are considered. The finite element method is outlined and methods based on the boundary integral equations are reviewed.
The discretization of the boundary integral equation results in a non-linear eigenvalue problem. However, through a polynomial approximation with respect to the wavenumber, the non-linear eigenvalue problem is reduced to a standard generalized eigenvalue problem. Methods based on this are applied to the test problems of the axisymmetric three-dimensional cases of a sphere and a cylinder.
The physical importance of the interior acoustic resonances of a loudspeaker is discussed. An acoustic modal analysis of an axisymmetric loudspeaker interior is carried out using this method and the results are compared with results from the finite element method and experimental results.
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