【作者】 王毅泽； 李凤明； 黄文虎；

【Author】 WANG Yi-ze, LI Feng-ming* ,HUANG Wen-hu (School of Astronautics, Harbin Institute of Technology, Harbin 150001, China)

【机构】 哈尔滨工业大学,航天学院；

【摘要】 本文研究了失谐声子三组元晶体结构中的波动局部化问题。根据界面处力与位移的连续条件,推导了结构中相邻子结构间的传递矩阵,根据Bloch理论,得到弹性波带隙结构,给出了结构中局部化因子的表达式。作为算例,计算了结构的带隙特性和局部化因子。计算结果表明,三组元与二组元结构在低频段内的带隙结构基本吻合,而在高频段内存在差异;结构的失谐程度越大,频率通带区间内的局部化因子值越大,局部化程度越强,分析结果对于声子晶体结构的优化设计和振动控制具有理论参考价值。更多还原

【Abstract】 In this paper, the wave localization in disordered three component phononic crystals are studied. According to the mechanical and displacement continuity conditions, the transfer matrix between two consecutive sub-structures is derived. Based on the Bloch theory, the band gaps of elastic waves is obtained. The expression for the localization factors in disordered periodic structures is presented by means of the variables in mechanical and displacement fields. As an example, numerical results of the band gaps and localization factors are calculated. It can be seen from the results that in low frequency regions, the characteristic of three phononic crystals is accordance with that of two component structure, however, in higher frequency regions, these characteristics are different. The larger disordered degree of the structures is, the larger the localization factors or the stronger the wave localizations is. The conclusions have theoretical significance for optimization design and vibration control.更多还原