心材密度及弹性模量对二维局域共振型声子晶体声波禁带的影响  

Effects of Mass Density and Elastic Module of Core Material on the Gap of Two-dimensional Phononic Crystal with Locally Resonant Structure

作　　者：赵宏刚[1] 刘耀宗[1] 温激鸿[1] 韩小云[1] 

机构地区：[1]国防科技大学机电工程与自动化学院机电工程研究所,湖南长沙410073

出　　处：《材料科学与工程学报》2005年第5期524-527,536,共5页Journal of Materials Science and Engineering

基　　金：国家973基础研究项目(51307)

摘　　要：局域共振型声子晶体由包覆软橡胶后的钢柱周期排列在树脂中形成。本文采用平面波展开法分别计算了该声子晶体在正方形和三角形点阵下的能带结构,分析了各点阵下心材密度和弹性模量对各模态(包括Z模态和XY模态)最低完全禁带的影响。结果发现,在心材弹性模量接近橡胶弹性模量而改变时,禁带上边界变化较大。但总的来说,当心材的密度(弹性模量)增大时,各模态上下边界频率降低(升高)。同时三角形排列下禁带宽度大于正方形排列。Steel cylinders coated by soft rubber are arrayed periodically in epoxy, which forms the locally resonant phononic crystal. The band structures and gap properties （including Z-mode and XY-mode） of square and triangular lattice are analyzed by plane wave expansion method. Then the lowest complete gap dependence on the mass density and elastic module of core cylinder＇ s material is invested, It is found that the top edge of the gap is easily changeable when varying the core elastic module near that of the rubber. Generally, the edges of the gaps get lower （higher） with the core density （ elastic module） increasing. And the gap of the triangular lattice is wider than that of the square array.

关 键 词：声子晶体 局域共振 完全禁带 

分 类 号：O481.1[理学—固体物理]