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Tuning of band gaps for a two-dimensional piezoelectric phononic crystal with a rectangular lattice

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Abstract

In this paper, the elastic wave propagation in a two-dimensional piezoelectric phononic crystal is studied by considering the mechanic–electric coupling. The generalized eigenvalue equation is obtained by the relation of the mechanic and electric fields as well as the Bloch–Floquet theorem. The band structures of both the in-plane and anti-plane modes are calculated for a rectangular lattice by the plane-wave expansion method. The effects of the lattice constant ratio and the piezoelectricity with different filling fractions are analyzed. The results show that the largest gap width is not always obtained for a square lattice. In some situations, a rectangular lattice may generate larger gaps. The band gap characteristics are influenced obviously by the piezoelectricity with the larger lattice constant ratios and the filling fractions.

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Authors and Affiliations

  1. School of Astronautics, Harbin Institute of Technology, P. O. Box 137, 150001, Harbin, China

    Yize Wang, Fengming Li & Wenhu Huang

  2. Department of Mechanical Sciences and Engineering, Tokyo Institute of Technology, 2-12-1, O-okayama, Meguro-ku, Tokyo, 152-8552, Japan

    Fengming Li & Kikuo Kishimoto

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

    Yuesheng Wang

Authors
  1. Yize Wang
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  2. Fengming Li
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  3. Yuesheng Wang
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  4. Kikuo Kishimoto
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  5. Wenhu Huang
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Correspondence to Yize Wang.

Additional information

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

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Wang, Y., Li, F., Wang, Y. et al. Tuning of band gaps for a two-dimensional piezoelectric phononic crystal with a rectangular lattice. Acta Mech Sin 25, 65–71 (2009). https://doi.org/10.1007/s10409-008-0191-9

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  • DOI: https://doi.org/10.1007/s10409-008-0191-9

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