中国物理B ›› 2013, Vol. 22 ›› Issue (7): 74301-074301.doi: 10.1088/1674-1056/22/7/074301

• ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS • 上一篇    下一篇

Tunable band gaps in acoustic metamaterials with periodic arrays of resonant shunted piezos

陈圣兵, 温激鸿, 王刚, 温熙森   

  1. Laboratory of Science and Technology on Integrated Logistics Support, National University of Defense Technology, Changsha 410073, China;Key Laboratory of Photonic and Phononic Crystal of Ministry of Education, National University of Defense Technology, Changsha 410073, China
  • 收稿日期:2012-09-25 修回日期:2012-11-14 出版日期:2013-06-01 发布日期:2013-06-01
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 50905182 and 51175501).

Tunable band gaps in acoustic metamaterials with periodic arrays of resonant shunted piezos

Chen Sheng-Bing (陈圣兵), Wen Ji-Hong (温激鸿), Wang Gang (王刚), Wen Xi-Sen (温熙森)   

  1. Laboratory of Science and Technology on Integrated Logistics Support, National University of Defense Technology, Changsha 410073, China;Key Laboratory of Photonic and Phononic Crystal of Ministry of Education, National University of Defense Technology, Changsha 410073, China
  • Received:2012-09-25 Revised:2012-11-14 Online:2013-06-01 Published:2013-06-01
  • Contact: Chen Sheng-Bing E-mail:nudt_chen@163.com
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 50905182 and 51175501).

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摘要： Periodic arrays of resonant shunted piezoelectric patches are employed to control the wave propagation in a two-dimensional (2D) acoustic metamaterial. The performance is characterized by the finite element method. More importantly, we propose an approach to solving the conventional issue of nonlinear eigenvalue problem, and give a convenient solution to the dispersion properties of 2D metamaterials with periodic arrays of resonant shunts in this article. Based on this modeling method, the dispersion relations of a 2D metamaterial with periodic arrays of resonant shunted piezos are calculated. The results show that the internal resonances of the shunting system split the dispersion curves, thereby forming a locally resonant band gap. However, unlike the conventional locally resonant gap, the vibrations in this locally resonant gap are unable to be completely localized in oscillators consisting of shunting inductors and piezo-patches.

关键词: piezoelectric shunting, metamaterial, phononic, band gaps

Abstract: Periodic arrays of resonant shunted piezoelectric patches are employed to control the wave propagation in a two-dimensional (2D) acoustic metamaterial. The performance is characterized by the finite element method. More importantly, we propose an approach to solving the conventional issue of nonlinear eigenvalue problem, and give a convenient solution to the dispersion properties of 2D metamaterials with periodic arrays of resonant shunts in this article. Based on this modeling method, the dispersion relations of a 2D metamaterial with periodic arrays of resonant shunted piezos are calculated. The results show that the internal resonances of the shunting system split the dispersion curves, thereby forming a locally resonant band gap. However, unlike the conventional locally resonant gap, the vibrations in this locally resonant gap are unable to be completely localized in oscillators consisting of shunting inductors and piezo-patches.

Key words: piezoelectric shunting, metamaterial, phononic, band gaps

中图分类号: 

  • 43.20+g
02.60.-x (Numerical approximation and analysis)