一维声子晶体中横波带隙的控制研究

摘要

Based on the lumped mass method, the calculation matrix about the transverse wave band gap in one-dimensional phonon crystal compounded of glass and silicone rubber is established. By numerical calculation and simulation with MATLAB, the band gap properties of the phonon crystal, caused by such parameters as lattice constant, component ratio, density, shear modulus, Young's modulus and Poisson's ratio, are studied. The results show that the inlfuences on the band gap caused by the lattice constants, the component ratio, Poisson's ratio, shear modulus and Young's modulus of the silicone rubber are more obvious, while the inlfuences caused by other parameters are less obvious or even negligible.%文章以玻璃和硅橡胶构成的一维声子晶体为研究对象，采用集中质量法建立横波在晶体中传播的能带特性计算矩阵。应用MATLAB软件进行编程，数值计算和模拟了两种材料的晶格常数、组分比、密度、剪切模量、杨氏模量及泊松比等参数的变化对带隙的影响。结果显示，材料的晶格常数和硅橡胶的组分比、泊松比、剪切模量及杨氏模量对带隙的影响最为明显，其他参数的影响较小甚至没有。