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周期波导中弹性波局部化问题的研究 被引量:4

Elastic Wave Localization in One-dimensional Periodic Wave-guides
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摘要 基于弹性波传递矩阵方法 ,对周期波导中弹性波局部化问题进行了分析研究。根据互易性原理和能量守恒定律 ,给出了结构弹性波传递矩阵的一般表达式。采用两种求解局部化因子的计算方法 ,分别计算了谐和与失谐周期波导中的局部化因子 ,并对其进行了分析讨论。本文对周期波导中波传播与振动局部化的分析方法和计算结果可用于结构的优化设计。 In this paper, based on the method of wave transfer matrix, elastic wave localization in periodic wave guide is studied. According to reciprocity and conservation of energy, a general formulation of wave transfer matrix is presented. Two kinds of methods for solving localization factor are given. As examples, localization factors of ordered and disordered periodic wave guides are respectively calculated and discussed. The method and results in this paper for solving the problem of wave and vibration mode localization in periodic wave guide can be used in the optimum design of such kind of structure.
机构地区 哈尔滨工业大学
出处 《应用力学学报》 CAS CSCD 北大核心 2002年第4期47-51,共5页 Chinese Journal of Applied Mechanics
基金 国家自然科学基金资助项目 (19972 0 18)
关键词 周期波导 弹性波 传递矩阵 LYAPUNOV指数 局部化因子 Periodic wave guide, elastic wave, transfer matrix, Lyapunov exponent, localization factor.
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参考文献17

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二级参考文献2

  • 1胡海昌,多自由度结构固有振动理论,1987年
  • 2刘济科,博士学位论文,1993年

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