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Wave localization in randomly disordered periodic layered piezoelectric structures

ISSN号：0567-7718
期刊名称：Acta Mechanica Sinica
时间：0
页码：559-567
语言：英文
分类：TB301[一般工业技术—材料科学与工程]
作者机构：[1]Department of Aerospace Science and Mechanics, Harbin Institute of Technology, Harbin 150001, China, [2]Institute of Engineering Mechanics, Beijing Jiaotong University, Beijing 100044, China, [3]School of Aerospace Engineering and Mechanics, TongJi University, Shanghai 200092, China, [4]Department of Aerospace Engineering and Mechanics, Harbin Institute of Technology, Harbin 150001, China
相关基金：The project supported by National Natural Science Foundation of China （10632020, 10672017 and 20451057）.
相关项目：声带隙材料和结构的波动力学特性分析及设计

作者： Huang, Wenhu|Hu, Chao|Li, Fengming|Wang, Yuesheng|

关键词：材料力学, 随机混乱周期分层压电结构, 波传播, 传播方式, Disordered periodic layered piezoelectric structures, Transfer matrix, Lyapunov exponent , Localization factor , Localization length

中文摘要：

就联合的 mechnoelectrical 而言，在混乱周期的分层的压电的结构的嘘波浪的本地化被学习。在对层正常、正切的方向宣传的波浪被考虑。在二个连续单位房间之间的转移矩阵根据连续性条件被获得。在混乱周期的结构的本地化因素和本地化长度的表情被介绍。为混乱周期的压电的结构，本地化因素和本地化长度的数字结果被介绍并且讨论。它能从结果被看见频率通带和站乐队为订的周期的结构出现，波浪本地化现象发生在混乱的周期的，并且变化的系数越大，波浪本地化的度是越多 greater。当连续压电的材料的性质是类似的，当某个材料参数有大变化时，站乐队的间隔变得更宽广时，在订的周期的结构的站乐队的宽度是很狭窄的。为在方向正常宣传到层的波浪，本地化长度在频率上有更少的依赖，要不是在对层正切的方向宣传本地化长度的波浪强烈依赖于频率。

英文摘要：

Considering the mechnoelectrical coupling, the localization of SH-waves in disordered periodic layered piezoelectric structures is studied. The waves propagating in directions normal and tangential to the layers are considered. The transfer matrices between two consecutive unit cells are obtained according to the continuity conditions. The expressions of localization factor and localization length in the disordered periodic structures are presented. For the disordered periodic piezoelectric structures, the numerical results of localization factor and localization length are presented and discussed. It can be seen from the results that the frequency passbands and stopbands appear for the ordered periodic structures and the wave localization phenomenon occurs in the disordered periodic ones, and the larger the coefficient of variation is, the greater the degree of wave localization is. The widths of stopbands in the ordered periodic structures are very narrow when the properties of the consecutive piezoelectric materials are similar and the intervals of stopbands become broader when a certain material parameter has large changes. For the wave propagating in the direction normal to the layers the localization length has less dependence on the frequency, but for the wave propagating in the direction tangential to the layers the localization length is strongly dependent on the frequency.

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