[1]王留运,熊滨生,王兴..任意散射体二维声子晶体的带结构计算方法[J].郑州大学学报(工学版),2006,27(02):113-116.[doi:10.3969/j.issn.1671-6833.2006.02.029]
　Wang Liuyun,Xiong Binsheng,Wang Xing.A method for calculating the band structure of a two-dimensional phonon crystal of an arbitrary scatterer[J].Journal of Zhengzhou University (Engineering Science),2006,27(02):113-116.[doi:10.3969/j.issn.1671-6833.2006.02.029]

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任意散射体二维声子晶体的带结构计算方法()

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《郑州大学学报(工学版)》[ISSN:1671-6833/CN:41-1339/T]

卷:

27

期数:

2006年02期

页码:

113-116

栏目:

出版日期:

1900-01-01

文章信息/Info

Title:

A method for calculating the band structure of a two-dimensional phonon crystal of an arbitrary scatterer

作者:

王留运; 熊滨生; 王兴.

郑州大学机械工程学院,河南,郑州,450002, 防空兵指挥学院基础部,河南,郑州,450052

Author(s):

Wang Liuyun; Xiong Binsheng; Wang Xing

关键词:

声子晶体;  弹性波带隙;  平面波展开

Keywords:

phonon crystals;  elastic wave band gap;  Planar wave unfolding

DOI:

10.3969/j.issn.1671-6833.2006.02.029

文献标志码:

A

摘要:

通过将二维任意形状散射体的声子晶体单元离散化,采用数值积分的方法,解决了其结构函数求解中的积分问题,从而改进了现有的平面波算法,使之能够计算二维任意单元结构正方晶格声子晶体的带结构.通过对比采用传统的以及本文中改进的平面波算法分别计算得到的规则单元结构声子晶体的带结构,验证了文中算法的正确性.采用文中改进的平面波算法,可方便地对二维声子晶体的单元结构进行拓扑优化,从而改进其带隙特性.

Abstract:

By discretizing the phonon crystal elements of the two-dimensional arbitrarily shaped scatterer, the numerical integration method is used to solve the integration problem in the solution of its structural function, so as to improve the existing plane wave algorithm, which can calculate the band structure of the two-dimensional arbitrary element structure square lattice phonon crystal. By comparing the band structure of phonon crystals with the regular element structure calculated by the traditional and improved plane wave algorithms in this paper, the correctness of the proposed algorithm is verified. The improved plane wave algorithm can be used to optimize the element structure of two-dimensional phonon crystals, so as to improve their bandgap characteristics.

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