一维声子晶体中横波带隙的控制研究  

A Study on the Control of the Transverse Wave Band Gap in One-dimensional Phonon Crystal

作　　者：唐启祥[1] 邱学云[1] 胡家光[1] 

机构地区：[1]文山学院信息科学学院,云南文山663099

出　　处：《文山学院学报》2015年第3期74-77,共4页Journal of Wenshan University

基　　金：云南省教育厅科学研究基金项目"一维周期性弹性材料结构传输特性的研究"(2014Y474);云南省科技计划青年项目"基于结构变换的声子晶体带隙结构研究"(2014FD055);文山学院科研基金项目"一维嵌套式变组元声子晶体带隙特性及应用研究"(15WSY14)

摘　　要：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。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＆#39;s modulus and Poisson＆#39;s ratio, are studied. The results show that the inlfuences on the band gap caused by the lattice constants, the component ratio, Poisson＆#39;s ratio, shear modulus and Young＆#39;s modulus of the silicone rubber are more obvious, while the inlfuences caused by other parameters are less obvious or even negligible.

关 键 词：一维声子晶体 带隙控制 横波 集中质量法 玻璃 硅橡胶 

分 类 号：O734[理学—晶体学]