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Chinese Physics, 2006, Vol. 15(2): 266-271    DOI: 10.1088/1009-1963/15/2/004
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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)
Institute of Mechatronical Engineering, National University of Defense Technology, Changsha 410073, China;PBG Research Center, National University of Defense Technology,Changsha 410073, China
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.
Keywords:  phononic crystals      flexural vibration      band gaps      locally resonant  
Received:  02 July 2005      Revised:  20 October 2005      Accepted manuscript online: 
PACS:  63.20.-e (Phonons in crystal lattices)  
  71.20.-b (Electron density of states and band structure of crystalline solids)  
  02.70.Dh (Finite-element and Galerkin methods)  
Fund: 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).

Cite this article: 

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) Flexural vibration band gaps in thin plates with two-dimensional binary locally resonant structures 2006 Chinese Physics 15 266

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