类三角晶格固/固型声子晶体的带隙特性研究  

Study on band gaps of two-dimensional solid/solid phononic crystals with triangular-like lattices

作　　者：赵寰宇[1] 曹学勤[2] 宋卫宾[1] 许子龙[1] 

机构地区：[1]北京交通大学工程力学研究所,北京100044 [2]内蒙古农业大学理学院,呼和浩特010018

出　　处：《功能材料》2016年第9期9001-9006,共6页Journal of Functional Materials

基　　金：国家自然科学基金资助项目(11302021);中央高校基本科研业务费专项资金资助项目(2014JBM097);北京交通大学人才基金资助项目(2014RC001);天津市自然科学基金资助项目(15JCQNJC42600)

摘　　要：首先划分7种类三角晶格声子晶体按三角点阵排列,然后利用平面波展开法计算了类三角晶格钢/环氧声子晶体的反平面模态能带结构,讨论了带隙各向同性和归一化半径对低频带隙的影响。结果表明,类三角晶格钢/环氧声子晶体可以打开不同频率段较宽带隙;选取归一化半径分别为0.34和0.38,使低频带隙得到最大值。这些带隙特征为设计新型减振材料提供了理论依据。In this paper the seven types of two-dimensional triangle-like lattices are classified by simple triangular lattice.The band gaps of antiplane modes for two-dimensional phononic crystals with triangle-like lattices composed of circular steel rods in epoxy are investigated by aplane wave expansion method.The isotropic band gaps and effect of the normalized radius on the band gaps are discussed.The numerical results show that the steel-epoxy phononic crystals with triangle-like lattices can open some the wider band gaps in the large frequency ranges.The maximum values of the band gaps in the lower frequencies are obtained if choosing the normalized radius 0.38 and 0.28.These findings of band gaps would provide the theoretical evidence to design new types of isolated materials.

关 键 词：声子晶体 类三角晶格 带隙 归一化半径 

分 类 号：O347[理学—固体力学] TB533[理学—力学]