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 

机构地区：[1]School of Mathematics and Statistics, Beijing Institute of Technology [2]Department of Civil Engineering, University of Siegen

出　　处：《Acta Mechanica Solida Sinica》2017年第3期271-284,共14页固体力学学报（英文版）

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)

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.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.

关 键 词：Phononic crystals Aperiodicity Wave localization Localization factor Transfer matrix method 

分 类 号：O735[理学—晶体学]