A comparative study of wave localization in locally resonant Thue–Morse, Rudin–Shapiro and Period-Doubling aperiodic structures

作     者：Zhizhong Yan Yangyang Wang Chuanzeng Zhang 

作者机构：School of Mathematics and Statistics Beijing Institute of Technology Department of Civil Engineering University of Siegen 

出 版 物：《Acta Mechanica Solida Sinica》 (固体力学学报（英文版）)

年 卷 期：2017年第30卷第3期

页      面：271-284页

核心收录：

学科分类：07[理学] 070205[理学-凝聚态物理] 08[工学] 080501[工学-材料物理与化学] 0805[工学-材料科学与工程（可授工学、理学学位）] 0802[工学-机械工程] 0703[理学-化学] 0701[理学-数学] 0801[工学-力学（可授工学、理学学位）] 0702[理学-物理学] 

基　　金：the financial support from the National Natural Science Foundation of China (No. 11002026, 11372039) Beijing Natural Science Foundation (No. 3133039) the Scientific Research Foundation for the Returned Overseas Chinese Scholars (No. 20121832001) 

主　　题：Phononic crystals Aperiodicity Wave localization Localization factor Transfer matrix method 

摘      要：The localization characteristics of the in-plane elastic waves in locally resonant aperiodic phononic crystals are examined in this study. In particular, the phononic crystals generated according to the Thue-Morse, Rudin-Shapiro and Period-Doubling sequences are theoretically investigated by using the extended transfer matrix method. For comparison, the binary and ternary locally resonant systems are considered, and their band structures are characterized by using the localization factors. Moreover, the influences of structural arrangement, material combination, incidence angle, number of components, length ratio, and random disorder on the band structures are also discussed. Some novel and interesting phenomena are observed and discussed.