Wave localization in two-dimensional porous phononic crystals with one-dimensional aperiodicity

Zhi Zhong Yan*, Chuanzeng Zhang

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

6 Citations (Scopus)

Abstract

The localization properties of in-plane elastic waves propagating in two-dimensional porous phononic crystals with one-dimensional aperiodicity are initially analyzed by introducing the concept of the localization factor that is calculated by the plane-wave-based transfer-matrix method in this paper. The band structures characterized by using localization factors are calculated for different phononic crystals by altering matrix material properties and geometric structure parameters. Numerical results show that the effect of matrix material properties on wave localization can be ignored, while the effect of geometric structure parameters is obvious. For comparison, the periodic porous system and Fibonacci system with rigid inclusion are also analyzed. It is found that the band gaps are easily formed in aperiodic porous system, but hard for periodic porous system. Moreover, compared with aperiodic system with rigid inclusion, the wider low-frequency band gaps appear in the aperiodic porous system.

Original languageEnglish
Pages (from-to)598-604
Number of pages7
JournalUltrasonics
Volume52
Issue number5
DOIs
Publication statusPublished - Jul 2012

Keywords

  • Aperiodic phononic crystal
  • Localization factor
  • Plane-wave-based transfer-matrix method

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