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Acta Mechanica Solida Sinica

, Volume 21, Issue 6, pp 507–516 | Cite as

Wave propagation in two-dimensional disordered piezoelectric phononic crystals

  • Jinqiang Li
  • Fengming Li
  • Yuesheng Wang
  • Kikuo Kishimoto
Article

Abstract

The wave propagation is studied in two-dimensional disordered piezoelectric phononic crystals using the finite-difference time-domain (FDTD) method. For different cases of disorder, the transmission coefficients are calculated. The influences of disorders on band gaps are investigated. The results show that the disorder in the piezoelectric phononic crystals has more significant influences on the band gap in the low frequency regions than in the high frequency ones. The relation between the width of band gap and the direction of position disorder is also discussed. When the position disorder is along the direction perpendicular to the wave transmission, the piezoelectric phononic crystals have wider band gaps at low frequency regions than the case of position disorder being along the wave transmission direction. It can also be found that the effect of size disorder on band gaps is analogous to that of location disorder. When the perturbation coefficient is big, it has more pronounced effects on the pass bands in the piezoelectric phononic crystals with both size and location disorders than in the piezoelectric phononic crystals with single disorder. In higher frequency regions the piezoelectric effect reduces the transmission coefficients. But for larger disorder degree, the effects of the piezoelectricity will be reduced.

Key words

phononic crystal piezoelectricity position disorder band gap FDTD method 

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Copyright information

© The Chinese Society of Theoretical and Applied Mechanics and Technology 2008

Authors and Affiliations

  • Jinqiang Li
    • 1
  • Fengming Li
    • 1
    • 2
  • Yuesheng Wang
    • 3
  • Kikuo Kishimoto
    • 2
  1. 1.School of AstronauticsHarbin Institute of TechnologyHarbinChina
  2. 2.Department of Mechanical Sciences and EngineeringTokyo Institute of TechnologyTokyoJapan
  3. 3.Institute of Engineering MechanicsBeijing Jiaotong UniversityBeijingChina

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