类三角晶格固/固型声子晶体的带隙特性研究∗

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 com-posed of circular steel rods in epoxy are investigated by a plane 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-ep-oxy phononic crystals with triangle-like lattices can open some the wider band gaps in the large frequency ran-ges.The maximum values of the band gaps in the lower frequencies are obtained if choosing the normalized radi-us 0.38 and 0.28.These findings of band gaps would provide the theoretical evidence to design new types of iso-lated materials.