中国物理B ›› 2006, Vol. 15 ›› Issue (8): 1843-1848.doi: 10.1088/1009-1963/15/8/036

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Accurate evaluation of lowest band gaps in ternary locally resonant phononic crystals

邵丽晖1, 王　刚2, 刘耀宗2, 温激鸿2   

  1. (1)Astronaut Center of China, Beijing 100094, China; (2)Institute of Mechatronical Engineering, National University of Defense Technology,Changsha 410073,China;Photonic/Phononic Band Gap Research Center, National University of Defense Technology, Changsha 410073,China
  • 收稿日期:2005-09-16 修回日期:2006-04-29 出版日期:2006-08-20 发布日期:2006-08-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No 50575222) and the State Key Development Program for Basic Research of China (Grant No 51307).

Accurate evaluation of lowest band gaps in ternary locally resonant phononic crystals

Wang Gang(王刚)a)b)†, Shao Li-Hui(邵丽晖)c), Liu Yao-Zong(刘耀宗)a)b), and Wen Ji-Hong(温激鸿)a)b)   

  1. a Institute of Mechatronical Engineering, National University of Defense Technology, Changsha 410073, China; b Photonic/Phononic Band Gap Research Center, National University of Defense Technology, Changsha 410073, Chinab Astronaut Center of China, Beijing 100094, China
  • Received:2005-09-16 Revised:2006-04-29 Online:2006-08-20 Published:2006-08-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No 50575222) and the State Key Development Program for Basic Research of China (Grant No 51307).

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摘要： Based on a better understanding of the lattice vibration modes, two simple spring--mass models are constructed in order to evaluate the frequencies on both the lower and upper edges of the lowest locally resonant band gaps of the ternary locally resonant phononic crystals. The parameters of the models are given in a reasonable way based on the physical insight into the band gap mechanism. Both the lumped-mass methods and our models are used in the study of the influences of structural and the material parameters on frequencies on both edges of the lowest gaps in the ternary locally resonant phononic crystals. The analytical evaluations with our models and the theoretical predictions with the lumped-mass method are in good agreement with each other. The newly proposed heuristic models are helpful for a better understanding of the locally resonant band gap mechanism, as well as more accurate evaluation of the band edge frequencies.

关键词: phononic crystals, locally resonant, analog model

Abstract: Based on a better understanding of the lattice vibration modes, two simple spring--mass models are constructed in order to evaluate the frequencies on both the lower and upper edges of the lowest locally resonant band gaps of the ternary locally resonant phononic crystals. The parameters of the models are given in a reasonable way based on the physical insight into the band gap mechanism. Both the lumped-mass methods and our models are used in the study of the influences of structural and the material parameters on frequencies on both edges of the lowest gaps in the ternary locally resonant phononic crystals. The analytical evaluations with our models and the theoretical predictions with the lumped-mass method are in good agreement with each other. The newly proposed heuristic models are helpful for a better understanding of the locally resonant band gap mechanism, as well as more accurate evaluation of the band edge frequencies.

Key words: phononic crystals, locally resonant, analog model

中图分类号:  (Photonic bandgap materials)

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