基于局部基本解法的声子晶体带隙分析

Phononic Crystal Band Gap Analysis based on Local Fundamental Solution

声子晶体作为一种复合材料在近年来发展迅速,因其独特的带隙特性而受到人们的广泛关注。本文将局部基本解法引入到声子晶体带隙特性计算和分析中,利用局部基本解法计算了不同声子晶体的能带结构、响应谱,分析了材料参数、散射体形状、填充率对声子晶体带隙的影响。结果显示:散射体材料、形状的不同对声子晶体带隙影响较大,散射体填充率的变化对带隙的影响较为明显。局部基本解法在声子晶体计算和分析中有较好的鲁棒性和准确性。

Phononic crystals as a kind of composite materials developed rapidly in the past two decades,and has been widely studied concerned due to its unique band gap characteristics.In this paper,a semi-analytical method based on local collocation technique and fundamental solutions,Localized Method of Fundamental Solutions(LMFS),is introduced for the calculation of acoustic properties of phononic crystals.The band structure and response spectrum of different phononic crystals are calculated by using the LMFS,and the effect of material parameters,scatterer shape and filling fraction on the band gap of phononic crystals are analysed.The results show that the different scatterer materials and shapes have great influence on the band gap of phononic crystals,and the change of scatterer filling fraction has obvious influence on the band gap.LMFS has good robustness and accuracy in the calculation and analysis of phononic crystals.