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

doi:10.1007/s10483-023-3015-7

摘要/Abstract

摘要： This paper proposes a method to amplify the performance of a flexuralwave-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 timeharmonic 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 defectband frequency, compared with a system without the PnC. Moreover, design guidelines for piezoelectric-defect-introduced PnCs are provided by analyzing the changes in wavegeneration performance that arise depending on the defect location.

关键词: phononic crystal(PnC), defect, wave-generation, flexural wave, analytical model

Abstract: This paper proposes a method to amplify the performance of a flexuralwave-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 timeharmonic 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 defectband frequency, compared with a system without the PnC. Moreover, design guidelines for piezoelectric-defect-introduced PnCs are provided by analyzing the changes in wavegeneration performance that arise depending on the defect location.

Key words: phononic crystal(PnC), defect, wave-generation, flexural wave, analytical model

中图分类号:

S. H. JO, D. LEE. Flexural-wave-generation using a phononic crystal with a piezoelectric defect[J]. Applied Mathematics and Mechanics (English Edition), 2023, 44(8): 1241-1262.

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