中国物理B ›› 2009, Vol. 18 ›› Issue (6): 2404-2411.doi: 10.1088/1674-1056/18/6/048

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Theoretical and experimental investigations of flexural wave propagation in periodic grid structures designed with the idea of phononic crystals

温激鸿, 郁殿龙, 刘竞文, 肖勇, 温熙森   

  1. Institute of Mechatronical Engineering, National University of Defense Technology, Changsha 410073, China Key Lab of Photonic and Phononic Crystals (MOE), Changsha 410073, China
  • 收稿日期:2008-09-06 修回日期:2008-11-12 出版日期:2009-06-20 发布日期:2009-06-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No 50875255).

Theoretical and experimental investigations of flexural wave propagation in periodic grid structures designed with the idea of phononic crystals

Wen Ji-Hong(温激鸿)†, Yu Dian-Long(郁殿龙), Liu Jing-Wen(刘竞文), Xiao Yong(肖勇), and Wen Xi-Sen(温熙森)   

  1. Institute of Mechatronical Engineering, National University of Defense Technology, Changsha 410073, China; Key Lab of Photonic and Phononic Crystals (MOE), Changsha 410073, China
  • Received:2008-09-06 Revised:2008-11-12 Online:2009-06-20 Published:2009-06-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No 50875255).

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摘要： The propagation characteristics of flexural waves in periodic grid structures designed with the idea of phononic crystals are investigated by combining the Bloch theorem with the finite element method. This combined analysis yields phase constant surfaces, which predict the location and the extension of band gaps, as well as the directions and the regions of wave propagation at assigned frequencies. The predictions are validated by computation and experimental analysis of the harmonic responses of a finite structure with 11× 11 unit cells. The flexural wave is localized at the point of excitation in band gaps, while the directional behaviour occurs at particular frequencies in pass bands. These studies provide guidelines to designing periodic structures for vibration attenuation.

关键词: phononic crystal, phase constant surface, grid structure

Abstract: The propagation characteristics of flexural waves in periodic grid structures designed with the idea of phononic crystals are investigated by combining the Bloch theorem with the finite element method. This combined analysis yields phase constant surfaces, which predict the location and the extension of band gaps, as well as the directions and the regions of wave propagation at assigned frequencies. The predictions are validated by computation and experimental analysis of the harmonic responses of a finite structure with 11× 11 unit cells. The flexural wave is localized at the point of excitation in band gaps, while the directional behaviour occurs at particular frequencies in pass bands. These studies provide guidelines to designing periodic structures for vibration attenuation.

Key words: phononic crystal, phase constant surface, grid structure

中图分类号:  (Mechanical wave propagation (including diffraction, scattering, and dispersion))

  • 46.40.Cd
42.70.Qs (Photonic bandgap materials) 62.30.+d (Mechanical and elastic waves; vibrations)