中国物理B ›› 2016, Vol. 25 ›› Issue (3): 34301-034301.doi: 10.1088/1674-1056/25/3/034301

所属专题： Virtual Special Topic — Acoustics

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

Wave propagation in beams with anti-symmetric piezoelectric shunting arrays

Sheng-Bing Chen(陈圣兵), Gang Wang(王刚)   

  1. 1. China Aerodynamics Research and Development Center, Mianyang 621000, China;
    2. State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, Hunan University, Changsha 410082, China
  • 收稿日期:2015-07-12 修回日期:2015-09-04 出版日期:2016-03-05 发布日期:2016-03-05
  • 通讯作者: Sheng-Bing Chen E-mail:shengbingchen@cardc.cn
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No. 51322502).

Wave propagation in beams with anti-symmetric piezoelectric shunting arrays

Sheng-Bing Chen(陈圣兵)1, Gang Wang(王刚)2   

  1. 1. China Aerodynamics Research and Development Center, Mianyang 621000, China;
    2. State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, Hunan University, Changsha 410082, China
  • Received:2015-07-12 Revised:2015-09-04 Online:2016-03-05 Published:2016-03-05
  • Contact: Sheng-Bing Chen E-mail:shengbingchen@cardc.cn
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No. 51322502).

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摘要： Piezoelectric shunting arrays are employed to control the wave propagation in flexible beams. Contrary to conventional symmetric configuration, a substrate beam with anti-symmetric shunting arrays is investigated by adapted transfer matrix method. Compared with symmetric scheme, the anti-symmetric one demonstrates some distinctive characteristics. Primarily, the longitudinal and flexural waves are coupled, so they are correlated and must be considered simultaneously. Moreover, the attenuation of flexural wave is much stronger in anti-symmetric scenario, while the longitudinal wave demonstrates the converse side. As a result, the anti-symmetric scheme can be utilized to improve the vibration isolation capability of shunting arrays. Finally, the theoretical analyses are validated by finite element simulations.

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

Abstract: Piezoelectric shunting arrays are employed to control the wave propagation in flexible beams. Contrary to conventional symmetric configuration, a substrate beam with anti-symmetric shunting arrays is investigated by adapted transfer matrix method. Compared with symmetric scheme, the anti-symmetric one demonstrates some distinctive characteristics. Primarily, the longitudinal and flexural waves are coupled, so they are correlated and must be considered simultaneously. Moreover, the attenuation of flexural wave is much stronger in anti-symmetric scenario, while the longitudinal wave demonstrates the converse side. As a result, the anti-symmetric scheme can be utilized to improve the vibration isolation capability of shunting arrays. Finally, the theoretical analyses are validated by finite element simulations.

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

中图分类号:  (Mathematical theory of wave propagation)

  • 43.20.Bi
43.40.+s (Structural acoustics and vibration) 62.30.+d (Mechanical and elastic waves; vibrations) 77.65.-j (Piezoelectricity and electromechanical effects)