摘要
基于弹性波传递矩阵方法,研究了失谐周期结构中弹性波与振动的局部化问题.给出了结构中弹性波传递矩阵的一般表达式,采用奇异值分解方法,分别计算了谐和与失谐周期结构中的局部化因子,并对其进行了分析讨论.对周期 结构中波传播与振动局部化的分析方法可用于结构的优化设计.
Based on the method of wave transfer matrix, the elastic wave and vibration localization in disordered periodic structures is studied. A general formulation of the wave transfer matrix is presented, and the localization factors of ordered and disordered periodic structures are, respectively, calculated and discussed by using the method of singular-value decomposition. The method in this paper for solving the problem of the wave and vibration localization in periodic structures can be used in the optimization of this kind of structures.
出处
《力学与实践》
CSCD
北大核心
2003年第3期35-38,共4页
Mechanics in Engineering
基金
国家自然科学基金项目(19972018)
国家重点基础研究规划项目(G1998020317)资助
关键词
失谐周期结构
弹性波
传递矩阵
局部化因子
振动
periodic structure, elastic wave, transfer ma- trix, Lyapunov exponent, localization factor
