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Wave localization in randomly disordered periodic piezoelectric rods

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Abstract

The wave propagation in periodic and disordered periodic piezoelectric rods is studied in this paper. The transfer matrix between two consecutive unit cells is obtained according to the continuity conditions. The electromechanical coupling of piezoelectric materials is considered. According to the theory of matrix eigenvalues, the frequency bands in periodic structures are studied. Moreover, by introducing disorder in both the dimensionless length and elastic constants of the piezoelectric ceramics, the wave localization in disordered periodic structures is also studied by using the matrix eigenvalue method and Lyapunov exponent method. It is found that tuned periodic structures have the frequency passbands and stopbands and localization phenomenon can occur in mistuned periodic structures. Furthermore, owing to the effect of piezoelectricity, the frequency regions for waves that cannot propagate through the structures are slightly increased with the increase of the piezoelectric constant.

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Authors and Affiliations

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

    Fengming Li, Yuesheng Wang & Ali Chen

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  1. Fengming Li
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  2. Yuesheng Wang
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  3. Ali Chen
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Project supported by the National Science Fund of Distinguished Young Scholars (No.10025211), the NJTU Paper Foundation (No.PD250) and the China Postdoctoral Science Foundation.

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Li, F., Wang, Y. & Chen, A. Wave localization in randomly disordered periodic piezoelectric rods. Acta Mech. Solida Sin. 19, 50–57 (2006). https://doi.org/10.1007/s10338-006-0606-8

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  • DOI: https://doi.org/10.1007/s10338-006-0606-8

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