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失谐压电周期结构中波动的局部化
引用本文:陈阿丽,李凤明,汪越胜. 失谐压电周期结构中波动的局部化[J]. 振动工程学报, 2005, 18(3): 272-275
作者姓名:陈阿丽  李凤明  汪越胜
作者单位:北京交通大学土建学院工程力学研究所,北京,100044
基金项目:国家杰出青年基金(10025211),中国博士后科学基金资助
摘    要:针对压电周期结构中弹性波的局部化问题进行了研究。采用传递矩阵方法推导了结构中相邻单胞间的传递矩阵,采用W o lf方法给出了结构中局部化因子的表达式,给出了数值算例,并分析了压电材料各参数对局部化因子的影响。分析表明,对于不同的压电材料,结构中的频带性质和局部化程度有很大不同,可以通过调整结构的材料特性来改变弹性波的局部化程度,从而改变波动在结构中的传播特性。

关 键 词:弹性波  失谐周期结构  压电材料  局部化因子  Lyapunov指数
文章编号:1004-4523(2005)03-0272-04
收稿时间:2004-11-15
修稿时间:2005-03-31

Wave localization in disordered periodic piezoelectric structures
CHEN A-li,LI Feng-ming,WANG Yue-sheng. Wave localization in disordered periodic piezoelectric structures[J]. Journal of Vibration Engineering, 2005, 18(3): 272-275
Authors:CHEN A-li  LI Feng-ming  WANG Yue-sheng
Affiliation:Institute of Engineering Mechanics, School of Civil Engineering, Beijing Jiaotong University, Beijing 100044, China
Abstract:Localization of elastic waves in periodic piezoelectric structures is studied.The method of transfer matrix is used to obtain the transfer matrix between two consecutive unit cells in the structure.The expression of localization factor is given by Wolf algorithm,numerical examples are presented and the effects of various parameters of piezoelectric material on localization factor are analyzed.It can be seen that for the different material properties the characters of frequency band and the degree of localization in the structure are very different.By tuning the material properties of the structure,the degree of the localization can be changed.So,the characters of wave propagation in the structure can be changed.
Keywords:elastic waves  disordered periodic structure  piezoelectric material  localization factor  Lyapunov exponent
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