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Please use this identifier to cite or link to this item: http://ntour.ntou.edu.tw:8080/ir/handle/987654321/24344

Title: A new method for true and spurious eigensolutions of arbitrary cavities using the combined Helmholtz exterior integral equation formulation method
Authors: I. L. Chen;J. T. Chen;S. R. Kuo;M. T. Liang
Contributors: NTOU:Department of Harbor and River Engineering
Keywords: structural acoustics;Helmholtz equations;boundary-elements methods
Date: 2001
Issue Date: 2011-10-20T08:11:34Z
Publisher: Journal of the Acoustical Society of America
Abstract: abstract:Integral equation methods have been widely used to solve interior eigenproblems and exterior acoustic problems (radiation and scattering). It was recently found that the real-part boundary element method (BEM) for the interior problem results in spurious eigensolutions if the singular (UT) or the hypersingular (LM) equation is used alone. The real-part BEM results in spurious solutions for interior problems in a similar way that the singular integral equation (UT method) results in fictitious solutions for the exterior problem. To solve this problem, a Combined Helmholtz Exterior integral Equation Formulation method (CHEEF) is proposed. Based on the CHEEF method, the spurious solutions can be filtered out if additional constraints from the exterior points are chosen carefully. Finally, two examples for the eigensolutions of circular and rectangular cavities are considered. The optimum numbers and proper positions for selecting the points in the exterior domain are analytically studied. Also, numerical experiments were designed to verify the analytical results. It is worth pointing out that the nodal line of radiation mode of a circle can be rotated due to symmetry, while the nodal line of the rectangular is on a fixed position. (C) 2001 Acoustical Society of America.
Relation: 109(3), pp.982-998
URI: http://ntour.ntou.edu.tw/handle/987654321/24344
Appears in Collections:[河海工程學系] 期刊論文

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