Resonance modes and gap formation in a two-dimensional solid phononic crystal

被引：43
作者：
Zhao, HG [1 ]
Liu, YZ
Wang, G
Wen, JH
Yu, DL
Han, XY
Wen, XS
机构：
[1] Natl Univ Def Technol, Inst Mechatron Engn, Changsha 410073, Peoples R China
[2] Natl Univ Def Technol, PBG Res Ctr, Changsha 410073, Peoples R China
来源：
PHYSICAL REVIEW B | 2005年 / 72卷 / 01期
关键词：
D O I：
10.1103/PhysRevB.72.012301
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
The resonance modes near the edges of the first absolute band gap of a two-dimensional solid phononic crystal with an epoxy host are investigated in this paper. A rotary resonance mode, induced by the joint effect of the Bragg and Mie scattering, is observed near the bottom of the gap. The gap, resulting from the interaction between the rigid-body resonance and the effective homogeneous medium, coalesces with the Bragg gap, which leads to the formation of a wide gap. Then a simple analytical model is introduced to give a physically intuitive account of the rotary resonance. Finally, the effects of the array and the filling fraction on the band gap are explained by the conditions for occurrence of the resonance.
引用
收藏
页数：4
相关论文
共 13 条
  • [1] Convergence problem of plane-wave expansion method for phononic crystals
    Cao, YJ
    Hou, ZL
    Liu, YY
    [J]. PHYSICS LETTERS A, 2004, 327 (2-3) : 247 - 253
  • [2] Two-dimensional phononic crystals studied using a variational method:: Application to lattices of locally resonant materials -: art. no. 144301
    Goffaux, C
    Sánchez-Dehesa, J
    [J]. PHYSICAL REVIEW B, 2003, 67 (14)
  • [3] INTERPRETATION OF THE BAND-STRUCTURE RESULTS FOR ELASTIC AND ACOUSTIC-WAVES BY ANALOGY WITH THE LCAO APPROACH
    KAFESAKI, M
    ECONOMOU, EN
    [J]. PHYSICAL REVIEW B, 1995, 52 (18): : 13317 - 13331
  • [4] ACOUSTIC BAND-STRUCTURE OF PERIODIC ELASTIC COMPOSITES
    KUSHWAHA, MS
    HALEVI, P
    DOBRZYNSKI, L
    DJAFARIROUHANI, B
    [J]. PHYSICAL REVIEW LETTERS, 1993, 71 (13) : 2022 - 2025
  • [5] Locally resonant sonic materials
    Liu, ZY
    Zhang, XX
    Mao, YW
    Zhu, YY
    Yang, ZY
    Chan, CT
    Sheng, P
    [J]. SCIENCE, 2000, 289 (5485) : 1734 - 1736
  • [6] Lattice resonances of a planar array of spherical inclusions: An experimental study
    Maslov, K
    Kinra, VK
    Henderson, BK
    [J]. MECHANICS OF MATERIALS, 1999, 31 (03) : 175 - 186
  • [7] Formation of absolute frequency gaps in three-dimensional solid phononic crystals
    Sainidou, R
    Stefanou, N
    Modinos, A
    [J]. PHYSICAL REVIEW B, 2002, 66 (21): : 1 - 4
  • [8] SIGALAS MM, 1992, J SOUND VIB, V2
  • [9] Vasseur JO, 2002, PHYS REV E, V65, DOI 10.1103/PhysRevE.65.056608
  • [10] Experimental and theoretical evidence for the existence of absolute acoustic band gaps in two-dimensional solid phononic crystals
    Vasseur, JO
    Deymier, PA
    Chenni, B
    Djafari-Rouhani, B
    Dobrzynski, L
    Prevost, D
    [J]. PHYSICAL REVIEW LETTERS, 2001, 86 (14) : 3012 - 3015
12