Analysis of Band Structure for 2D Acoustic PhononicStructure by BEM and the Block SS Method
Analysis of Band Structure for 2D Acoustic PhononicStructure by BEM and the Block SS Method
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DOI：
10.3970/cmes.2013.090.283
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发表时间：
2013
影响因子：
2.4
通讯作者：
H. Gao;T. Matsumoto;T. Takahashi;H. Isakari
中科院分区：
文献类型：
--
作者：
H. Gao;T. Matsumoto;T. Takahashi;H. Isakari
基于此，块Sakurai-Sugiura （SS）方法可用于求解由边界积分方程表示的非线性特征值问题。本文将边界元法与块SS法相结合的方法应用于声学问题声子结构带结构的计算。由于传统的边界积分方程在处理散射体的外部问题时会产生真实的虚拟特征频率，因此采用波顿-米勒法去除由散射体边界产生的真实虚拟特征频率。通过对均匀带结构和复合带结构的分析，说明了该方法的应用。
By its very basis, the block Sakurai-Sugiura (SS) method may be ap- plied 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 eigenfrequen- cies resulted by the boundary of the scatterers. The application of the method is demonstrated through analyses of band structures of homogenous and composite structures.