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| Eigenvalue analysis for acoustical cavity covered with porous materials by using the radial integration boundary element method |
| Received:October 11, 2013 Revised:February 23, 2014 |
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| DOI：10.7511/jslx201501021 |
| KeyWord:radial integration boundary element method three-dimensional sound field porous materials acoustic eigenvalue problem |
| Author | Institution |
| 屈伸 |
兰州交通大学 土木工程学院, 兰州 ;大连理工大学 工业装备结构分析国家重点实验室, 大连 |
| 陈浩然 |
大连理工大学 工业装备结构分析国家重点实验室, 大连 |
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| Abstract: |
| The traditional boundary element method has a well-known difficulty when calculating acoustic eigenvalue problems since the fundamental solution of the Helmholtz equation is dependent on the frequency.In this paper,the integral equation of acoustics Helmholtz equation is obtained by using the fundamental solution of Laplace equation,and then the radial integration method is presented to transform domain integrals to boundary integrals.The proposed method eliminates the frequency dependency of the coefficient matrices in the traditional boundary element method and the dependence on particular solutions of the particular integral method.By using polynomials approximating of surface acoustic admittance,the acoustic eigenvalue analysis procedure for acoustical cavity covered with porous materials resorts to a matrix polynomial problem instead of nonlinear transcendental eigenvalue forms.Several numerical examples are presented to demonstrate the validity and accuracy of the proposed approach. |