二维声子晶体薄板的振动特性  

VIBRATION PROPERTY OF TWO DIMENSION PHONONIC CRYSTALS THIN PLATE

作　　者：郁殿龙[1] 刘耀宗[1] 王刚[1] 温激鸿[1] 邱静[1] 

机构地区：[1]国防科技大学机电工程研究所,长沙410073

出　　处：《机械工程学报》2006年第2期150-154,共5页Journal of Mechanical Engineering

基　　金：国家973计划基金资助项目(51307)

摘　　要：从薄板的振动方程出发,利用平面波展开法,给出了无限周期结构的二维声子晶体薄板的振动能带结构。发现二维声子晶体薄板存在振动带隙,但是与二维声子晶体xy模态的能带结构有区别。利用有限元法,对有限周期结构的声子晶体薄板振动频率响应进行仿真。在带隙频率范围内,频率响应存在较大衰减。并且给出了带隙内和带隙外两个频率点的波场分布。周期结构薄板中存在的振动带隙为声子晶体在减振方面的应用提供了一种新思路。Based on the vibrational equation of the thin plate, the band structure for the two-dimensional phononic crystals thin plate composed of two kind of material is provided by using plane wave expansion method. The composite materials thin plate exhibiting vibration band gap is found. But it is different from the xy mode band structure of two-dimensional phononic crystals. For the finite periodic structure thin plate, the vibration frequency response by finite element method is simulated. The frequency ranges of sharp drop in frequency response curve show good agreement with the band gaps. The wave field distribution of the frequency both in band gap and out of band gap is calculated in order to describe the vibration property of the phononic crystal thin plate. The existence of band gaps in the periodic structures thin plate gives a new idea in vibration eontrol application of phononic crystals.

关 键 词：声子晶体 薄板 振动带隙 

分 类 号：O321[理学—一般力学与力学基础] TH113[理学—力学]