中国物理B ›› 2011, Vol. 20 ›› Issue (11): 116301-116301.doi: 10.1088/1674-1056/20/11/116301

• CONDENSED MATTER: STRUCTURAL, MECHANICAL, AND THERMAL PROPERTIES • 上一篇    下一篇

Acoustic band pinning in the phononic crystal plates of anti-symmetric structure

蔡琛1, 祝雪丰1, 陈谦1, 梁彬1, 程建春1, 袁樱2   

  1. (1)Key Laboratory of Modern Acoustics, Ministry of Education, and Institute of Acoustics, Nanjing University, Nanjing 210093, China; (2)School of Mathematics and Physics, Jiangsu Teachers University of Technology, Changzhou 213001, China
  • 收稿日期:2011-04-27 修回日期:2011-06-01 出版日期:2011-11-15 发布日期:2011-11-15
  • 基金资助:
    Project supported by the National Basic Research Program of China (Grant No. 2010CB327803), the National Natural Science Foundation of China (Grant Nos. 10874086, 10834009, and 10904068), the Science Foundation of the Ministry of Education of China (Grant No. 705017), and the Fundamental Research Funds for the Central Universities, China (Grant No. 1085020401).

Acoustic band pinning in the phononic crystal plates of anti-symmetric structure

Cai Chen(蔡琛)a), Zhu Xue-Feng(祝雪丰)a), Chen Qian(陈谦)a), Yuan Ying(袁樱)b), Liang Bin(梁彬) a), and Cheng Jian-Chun(程建春)a)†   

  1. a Key Laboratory of Modern Acoustics, Ministry of Education, and Institute of Acoustics, Nanjing University, Nanjing 210093, China; b School of Mathematics and Physics, Jiangsu Teachers University of Technology, Changzhou 213001, China
  • Received:2011-04-27 Revised:2011-06-01 Online:2011-11-15 Published:2011-11-15
  • Supported by:
    Project supported by the National Basic Research Program of China (Grant No. 2010CB327803), the National Natural Science Foundation of China (Grant Nos. 10874086, 10834009, and 10904068), the Science Foundation of the Ministry of Education of China (Grant No. 705017), and the Fundamental Research Funds for the Central Universities, China (Grant No. 1085020401).

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摘要： Acoustic bands are studied numerically for a Lamb wave propagating in an anti-symmetric structure of a one-dimensional periodic plate by using the method of supercell plane-wave expansion. The results show that all the bands are pinned in pairs at the Brillouin zone boundary as long as the anti-symmetry remains and acoustic band gaps (ABGs) only appear between certain bands. In order to reveal the relationship between the band pinning and the anti-symmetry, the method of eigenmode analysis is introduced to calculate the displacement fields of different plate structures. Further, the method of harmony response analysis is employed to calculate the reference spectra to verify the accuracy of numerical calculations of acoustic band map, and both the locations and widths of ABGs in the acoustic band map are in good agreement with those of the reference spectra. The investigations show that the pinning effect is very sensitive to the anti-symmetry of periodic plates, and by introducing different types of breakages, more ABGs or narrow pass bands will appear, which is meaningful in band gap engineering.

Abstract: Acoustic bands are studied numerically for a Lamb wave propagating in an anti-symmetric structure of a one-dimensional periodic plate by using the method of supercell plane-wave expansion. The results show that all the bands are pinned in pairs at the Brillouin zone boundary as long as the anti-symmetry remains and acoustic band gaps (ABGs) only appear between certain bands. In order to reveal the relationship between the band pinning and the anti-symmetry, the method of eigenmode analysis is introduced to calculate the displacement fields of different plate structures. Further, the method of harmony response analysis is employed to calculate the reference spectra to verify the accuracy of numerical calculations of acoustic band map, and both the locations and widths of ABGs in the acoustic band map are in good agreement with those of the reference spectra. The investigations show that the pinning effect is very sensitive to the anti-symmetry of periodic plates, and by introducing different types of breakages, more ABGs or narrow pass bands will appear, which is meaningful in band gap engineering.

Key words: Lamb wave, phononic crystal, anti-symmetric structure, band structures

中图分类号:  (Phonons in crystal lattices)

  • 63.20.-e
62.65.+k (Acoustical properties of solids) 43.20.+g (General linear acoustics)