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Analysis of Band Structure for 2D Acoustic Phononic Structure by BEM and the Block SS Method

H.F. Gao1, T. Matsumoto1, T. Takahashi1 and H. Isakari1
1 Department of Mechanical Science and Engineering, Nagoya University, Nagoya, Aichi, Japan.

Computer Modeling in Engineering & Sciences 2013, 90(4), 283-301. https://doi.org/10.3970/cmes.2013.090.283

Abstract

By its very basis, the block Sakurai-Sugiura (SS) method may be applied to solving nonlinear eigenvalue problem formulated by boundary integral equation. In this paper, the methodology of BEM combined with the block SS method is applied to the computation of band structures of phononic structures for acoustic problems. Since the conventional boundary integral equation yields the real fictitious eigenfrequencies when it is applied to an exterior problem of scatters, Burton-Miller’s method is employed to remove the real fictitious eigenfrequencies resulted by the boundary of the scatterers. The application of the method is demonstrated through analyses of band structures of homogenous and composite structures.

Keywords

phononic structure, band structure, block Sakurai-Sugiura method, BEM, eigenfrequencies.

Cite This Article

Gao, H., Matsumoto, T., Takahashi, T. (2013). Analysis of Band Structure for 2D Acoustic Phononic Structure by BEM and the Block SS Method. CMES-Computer Modeling in Engineering & Sciences, 90(4), 283–301.



This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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