中国物理B ›› 2006, Vol. 15 ›› Issue (2): 266-271.doi: 10.1088/1009-1963/15/2/004

• GENERAL • 上一篇    下一篇

Flexural vibration band gaps in thin plates with two-dimensional binary locally resonant structures

郁殿龙, 王刚, 刘耀宗, 温激鸿, 邱静   

  1. Institute of Mechatronical Engineering, National University of Defense Technology, Changsha 410073, China;PBG Research Center, National University of Defense Technology,Changsha 410073, China
  • 收稿日期:2005-07-02 修回日期:2005-10-20 出版日期:2006-02-20 发布日期:2006-02-20
  • 基金资助:
    Project supported by the State Key Development Program for Basic Research of China (Grant No 51307) and the National Natural Science Foundation of China (Grant No 50575222).

Flexural vibration band gaps in thin plates with two-dimensional binary locally resonant structures

Yu Dian-Long (郁殿龙), Wang Gang (王刚), Liu Yao-Zong (刘耀宗), Wen Ji-Hong (温激鸿), Qiu Jing (邱静)   

  1. Institute of Mechatronical Engineering, National University of Defense Technology, Changsha 410073, China;PBG Research Center, National University of Defense Technology,Changsha 410073, China
  • Received:2005-07-02 Revised:2005-10-20 Online:2006-02-20 Published:2006-02-20
  • Supported by:
    Project supported by the State Key Development Program for Basic Research of China (Grant No 51307) and the National Natural Science Foundation of China (Grant No 50575222).

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摘要： The complete flexural vibration band gaps are studied in the thin plates with two-dimensional binary locally resonant structures, i.e. the composite plate consisting of soft rubber cylindrical inclusions periodically placed in a host material. Numerical simulations show that the low-frequency gaps of flexural wave exist in the thin plates. The width of the first gap decreases monotonically as the matrix density increases. The frequency response of the finite periodic thin plates is simulated by the finite element method, which provides attenuations of over 20dB in the frequency range of the band gaps. The findings will be significant in the application of phononic crystals.

Abstract: The complete flexural vibration band gaps are studied in the thin plates with two-dimensional binary locally resonant structures, i.e. the composite plate consisting of soft rubber cylindrical inclusions periodically placed in a host material. Numerical simulations show that the low-frequency gaps of flexural wave exist in the thin plates. The width of the first gap decreases monotonically as the matrix density increases. The frequency response of the finite periodic thin plates is simulated by the finite element method, which provides attenuations of over 20dB in the frequency range of the band gaps. The findings will be significant in the application of phononic crystals.

Key words: phononic crystals, flexural vibration, band gaps, locally resonant

中图分类号:  (Phonons in crystal lattices)

  • 63.20.-e
71.20.-b (Electron density of states and band structure of crystalline solids) 02.70.Dh (Finite-element and Galerkin methods)