A Boundary Element Method for Acoustic Scattering from Non-axisymmetric and Axisymmetric Elastic Shells
J. P. Agnantiaris; and D. Polyzos

doi:10.3970/cmes.2003.004.197
Source CMES: Computer Modeling in Engineering & Sciences, Vol. 4, No. 1, pp. 197-212, 2003
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Keywords 3-D acoustic scattering, Fluid-shell structure interaction, boundary elements, axisymmetry.
Abstract A Boundary Element Method (BEM), for the three-dimensional solution of both non-axisymmetric and axisymmetric coupled acoustic-elastic problems in the frequency domain, is presented. The present BEM makes use of the Burton and Miller integral equation for infinite acoustic spaces, while elastic structures are dealt with the standard boundary integral equation of elastodynamics. The axisymmetric formulation involves the use of the fast Fourier transform algorithm. Highly accurate numerical algorithms are used for the evaluation of singular integrals, while nearly singular integrals are treated, also with high accuracy, through the use of practical numerical techniques, for both the axisymmetric and non-axisymmetric cases. Two representative numerical examples are solved, that demonstrate the accuracy of the present BEM, while interesting observations are reported about its convergence properties, when arbitrarily shaped shell scatterers are under consideration.
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