Acta Mechanica Solida Sinica

, Volume 30, Issue 3, pp 271–284 | Cite as

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

  • Zhizhong Yan
  • Yangyang Wang
  • Chuanzeng Zhang


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.


Phononic crystals Aperiodicity Wave localization Localization factor Transfer matrix method 


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© The Chinese Society of Theoretical and Applied Mechanics and Technology 2017

Authors and Affiliations

  1. 1.School of Mathematics and StatisticsBeijing Institute of TechnologyBeijingPR China
  2. 2.Department of Civil EngineeringUniversity of SiegenSiegenGermany

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