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Wave localization in randomly disordered periodic layered piezoelectric structures

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Abstract

Considering the mechnoelectrical coupling, the localization of SH-waves in disordered periodic layered piezoelectric structures is studied. The waves propagating in directions normal and tangential to the layers are considered. The transfer matrices between two consecutive unit cells are obtained according to the continuity conditions. The expressions of localization factor and localization length in the disordered periodic structures are presented. For the disordered periodic piezoelectric structures, the numerical results of localization factor and localization length are presented and discussed. It can be seen from the results that the frequency passbands and stopbands appear for the ordered periodic structures and the wave localization phenomenon occurs in the disordered periodic ones, and the larger the coefficient of variation is, the greater the degree of wave localization is. The widths of stopbands in the ordered periodic structures are very narrow when the properties of the consecutive piezoelectric materials are similar and the intervals of stopbands become broader when a certain material parameter has large changes. For the wave propagating in the direction normal to the layers the localization length has less dependence on the frequency, but for the wave propagating in the direction tangential to the layers the localization length is strongly dependent on the frequency.

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Authors and Affiliations

  1. Department of Aerospace Science and Mechanics, Harbin Institute of Technology, Harbin, 150001, China

    Fengming Li

  2. Institute of Engineering Mechanics, Beijing Jiaotong University, Beijing, 100044, China

    Yuesheng Wang

  3. School of Aerospace Engineering and Mechanics, TongJi University, Shanghai, 200092, China

    Chao Hu

  4. Department of Aerospace Engineering and Mechanics, Harbin Institute of Technology, Harbin, 150001, China

    Wenhu Huang

Authors
  1. Fengming Li
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  2. Yuesheng Wang
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  3. Chao Hu
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  4. Wenhu Huang
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Corresponding author

Correspondence to Fengming Li.

Additional information

The project supported by National Natural Science Foundation of China (10632020, 10672017 and 20451057).

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Li, F., Wang, Y., Hu, C. et al. Wave localization in randomly disordered periodic layered piezoelectric structures. Acta Mech Sin 22, 559–567 (2006). https://doi.org/10.1007/s10409-006-0035-4

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  • DOI: https://doi.org/10.1007/s10409-006-0035-4

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