布拉格型声子晶体弦的横向振动带隙研究  

Study on the Lateral Band Gap of String of Phononic Crystals

作　　者：舒海生[1] 董立强 李世丹 刘伟[1] 林航 

机构地区：[1]哈尔滨工程大学机电工程学院,哈尔滨150001

出　　处：《人工晶体学报》2013年第9期1918-1923,共6页Journal of Synthetic Crystals

基　　金：国家自然科学基金资助项目(51375105);中国博士后科学基金资助项目(2012M520705);中央高校基本科研业务费自由探索计划基金资助项目(HEUCF120705);哈尔滨工程大学2011级研究生培养基金资助项目(00207001060906)

摘　　要：从弦的波动方程出发,采用传递矩阵法,分析了无限周期的布拉格型声子晶体弦的横向振动能带结构。研究表明布拉格型声子晶体弦具有横向振动带隙,弦内拉力对带隙特性有显著影响,可以方便地用于带隙调节。利用有限元软件和Matlab软件对有限周期的布拉格型声子晶体弦的横向振动传输特性分别进行了仿真和数值计算,结果表明带隙范围内表现出明显的振动衰减,不同拉力条件下的带隙变化也很好地验证了理论分析结果。Based on the wave equation of string, the phononic crystals string （PCS） was analyzed theoretically by means of transfer matrix method, and the band structure of infinite PCS was calculated numerically. The results show that PCS has lateral band gap and the tension of string has a significant influence on its frequency location and bandwidth which can be easily used to realize the adjustment of the band gap. The transmission characteristics of lateral vibration of finite PCS is further simulated with ANSYS 11.0 software and calculated with Mtalab software from which we know that ： the lateral vibration of the finite PCS can be attenuated distinctly in the band gap, and the variation of the bandwidth and frequency location of the band gap under different tensions in the string can testify the theoretical results .

关 键 词：声子晶体 弦 传递矩阵法 能带结构 带隙 

分 类 号：O731[理学—晶体学]