中国物理B ›› 2005, Vol. 14 ›› Issue (12): 2522-2528.doi: 10.1088/1009-1963/14/12/025

• CLASSICAL AREAS OF PHENOMENOLOGY • 上一篇    下一篇

Local resonant characteristics of a layered cylinder embedded in the elastic medium

秦波, 陈久久, 程建春   

  1. State Key Laboratory of Modern Acoustic and Institute of Acoustics,Nanjing University, Nanjing 210093, China
  • 收稿日期:2005-02-02 修回日期:2005-06-27 出版日期:2005-12-20 发布日期:2005-12-20
  • 基金资助:
    Project supported by the Funds for outstanding Youth Researchers from the National Natural Science Foundation of China (Grant No 10125417) and the State Key Development Program for Basic Research of China (Grant No 51307).

Local resonant characteristics of a layered cylinder embedded in the elastic medium

Qin Bo (秦波), Chen Jiu-Jiu (陈久久), Cheng Jian-Chun (程建春)   

  1. State Key Laboratory of Modern Acoustic and Institute of Acoustics,Nanjing University, Nanjing 210093, China
  • Received:2005-02-02 Revised:2005-06-27 Online:2005-12-20 Published:2005-12-20
  • Supported by:
    Project supported by the Funds for outstanding Youth Researchers from the National Natural Science Foundation of China (Grant No 10125417) and the State Key Development Program for Basic Research of China (Grant No 51307).

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摘要： Three kinds of resonant modes of a single layered circular elastic cylinder embedded in the elastic medium are analysed by considering the oscillation of the scatter's core, based on the fact that the core moves as a rigid body when the shell material is very compliant. The resonant frequencies of the single resonator acquired by our method are in good agreement with those calculated by the local interaction simulation approach (LISA) for the local resonant phononic crystal. Therefore, the local resonant characteristics of a single layered circular elastic cylinder can be used to evaluate the resonant frequencies of the phononic crystal. The effects of the geometrical and physical parameters of the shell and the core are also studied in details. This work is significant for designing the locally resonant phononic crystal based on the local resonant characteristics of the single resonator, and the resonant frequencies can be tuned by selecting the geometrical sizes and the materials.

Abstract: Three kinds of resonant modes of a single layered circular elastic cylinder embedded in the elastic medium are analysed by considering the oscillation of the scatter's core, based on the fact that the core moves as a rigid body when the shell material is very compliant. The resonant frequencies of the single resonator acquired by our method are in good agreement with those calculated by the local interaction simulation approach (LISA) for the local resonant phononic crystal. Therefore, the local resonant characteristics of a single layered circular elastic cylinder can be used to evaluate the resonant frequencies of the phononic crystal. The effects of the geometrical and physical parameters of the shell and the core are also studied in details. This work is significant for designing the locally resonant phononic crystal based on the local resonant characteristics of the single resonator, and the resonant frequencies can be tuned by selecting the geometrical sizes and the materials.

Key words: elastic wave, local resonance, layered cylinder

中图分类号:  (Acoustical properties of solids)

  • 62.65.+k
42.70.Qs (Photonic bandgap materials) 43.20.Ks (Standing waves, resonance, normal modes)