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Flexural-wave-generation using a phononic crystal with a piezoelectric defect

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Abstract

This paper proposes a method to amplify the performance of a flexural-wave-generation system by utilizing the energy-localization characteristics of a phononic crystal (PnC) with a piezoelectric defect and an analytical approach that accelerates the predictions of such wave-generation performance. The proposed analytical model is based on the Euler-Bernoulli beam theory. The proposed analytical approach, inspired by the transfer matrix and S-parameter methods, is used to perform band-structure and time-harmonic analyses. A comparison of the results of the proposed approach with those of the finite element method validates the high predictive capability and time efficiency of the proposed model. A case study is explored; the results demonstrate an almost ten-fold amplification of the velocity amplitudes of flexural waves leaving at a defect-band frequency, compared with a system without the PnC. Moreover, design guidelines for piezoelectric-defect-introduced PnCs are provided by analyzing the changes in wave-generation performance that arise depending on the defect location.

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Acknowledgements

The authors would like to acknowledge the support of Dongguk University Research Fund of 2023.

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Authors and Affiliations

  1. Department of Mechanical, Robotics, and Energy Engineering, Dongguk University, Seoul, 04620, Republic of Korea

    S. H. Jo

  2. Department of Mechanical Engineering, Seoul National University, Seoul, 08826, Republic of Korea

    D. Lee

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  1. S. H. Jo
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  2. D. Lee
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Correspondence to S. H. Jo.

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The authors declare no conflict of interest.

Project supported by the Basic Science Research Program through the National Research Foundation of Korea, funded by the Ministry of Education (No. 2022R1I1A1A0105640611)

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Jo, S.H., Lee, D. Flexural-wave-generation using a phononic crystal with a piezoelectric defect. Appl. Math. Mech.-Engl. Ed. 44, 1241–1262 (2023). https://doi.org/10.1007/s10483-023-3015-7

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  • DOI: https://doi.org/10.1007/s10483-023-3015-7

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