Analysis on vibration characteristics of large-size rectangular piezoelectric composite plate based on quasi-periodic phononic crystal structure

doi:10.1088/1674-1056/ac3649

中国物理B ›› 2022, Vol. 31 ›› Issue (5): 54302-054302.doi: 10.1088/1674-1056/ac3649

Analysis on vibration characteristics of large-size rectangular piezoelectric composite plate based on quasi-periodic phononic crystal structure

Li-Qing Hu(胡理情), Sha Wang(王莎), and Shu-Yu Lin(林书玉)

Shaanxi Key Laboratory of Ultrasonics, Institute of Applied Acoustics, Shaanxi Normal University, Xi'an 710119, China

收稿日期:2021-09-09 修回日期:2021-10-12 出版日期:2022-05-14 发布日期:2022-04-27
通讯作者: Shu-Yu Lin,E-mail:sylin@snnu.edu.cn E-mail:sylin@snnu.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos.11674206,11874253,and 12174240) and the Fundamental Research Funds for the Central Universities,China (Grant No.020CBLY003).

Analysis on vibration characteristics of large-size rectangular piezoelectric composite plate based on quasi-periodic phononic crystal structure

Li-Qing Hu(胡理情), Sha Wang(王莎), and Shu-Yu Lin(林书玉)^†

Shaanxi Key Laboratory of Ultrasonics, Institute of Applied Acoustics, Shaanxi Normal University, Xi'an 710119, China

Received:2021-09-09 Revised:2021-10-12 Online:2022-05-14 Published:2022-04-27
Contact: Shu-Yu Lin,E-mail:sylin@snnu.edu.cn E-mail:sylin@snnu.edu.cn
About author:2021-11-4
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos.11674206,11874253,and 12174240) and the Fundamental Research Funds for the Central Universities,China (Grant No.020CBLY003).

摘要/Abstract

摘要： Based on the theory of composite materials and phononic crystals (PCs), a large-size rectangular piezoelectric composite plate with the quasi-periodic PC structure composed of PZT-4 and epoxy is proposed in this paper. This PC structure can suppress the transverse vibration of the piezoelectric composite plate so that the thickness mode is purer and the thickness vibration amplitude is more uniform. Firstly, the vibration of the model is analyzed theoretically, the electromechanical equivalent circuit diagram of three-dimensional coupled vibration is established, and the resonance frequency equation is derived. The effects of the length, width, and thickness of the piezoelectric composite plate at the resonant frequency are obtained by the analytical method and the finite element method, the effective electromechanical coupling coefficient is also analyzed. The results show that the resonant frequency can be changed regularly and the electromechanical conversion can be improved by adjusting the size of the rectangular piezoelectric plate. The effect of the volume fraction of the scatterer on the resonant frequency in the thickness direction is studied by the finite element method. The band gap in X and Y directions of large-size rectangular piezoelectric plate with quasi-periodic PC structures are calculated. The results show that the theoretical results are in good agreement with the simulation results. When the resonance frequency is in the band gap, the decoupling phenomenon occurs, and then the vibration mode in the thickness direction is purer.

关键词: composite materials, rectangular piezoelectric plate, coupled vibration, band gap

Abstract: Based on the theory of composite materials and phononic crystals (PCs), a large-size rectangular piezoelectric composite plate with the quasi-periodic PC structure composed of PZT-4 and epoxy is proposed in this paper. This PC structure can suppress the transverse vibration of the piezoelectric composite plate so that the thickness mode is purer and the thickness vibration amplitude is more uniform. Firstly, the vibration of the model is analyzed theoretically, the electromechanical equivalent circuit diagram of three-dimensional coupled vibration is established, and the resonance frequency equation is derived. The effects of the length, width, and thickness of the piezoelectric composite plate at the resonant frequency are obtained by the analytical method and the finite element method, the effective electromechanical coupling coefficient is also analyzed. The results show that the resonant frequency can be changed regularly and the electromechanical conversion can be improved by adjusting the size of the rectangular piezoelectric plate. The effect of the volume fraction of the scatterer on the resonant frequency in the thickness direction is studied by the finite element method. The band gap in X and Y directions of large-size rectangular piezoelectric plate with quasi-periodic PC structures are calculated. The results show that the theoretical results are in good agreement with the simulation results. When the resonance frequency is in the band gap, the decoupling phenomenon occurs, and then the vibration mode in the thickness direction is purer.

Key words: composite materials, rectangular piezoelectric plate, coupled vibration, band gap

中图分类号: (Structural acoustics and vibration)

43.40.+s

43.35.+d (Ultrasonics, quantum acoustics, and physical effects of sound) 63.20.D- (Phonon states and bands, normal modes, and phonon dispersion) 63.20.-e (Phonons in crystal lattices)

Li-Qing Hu(胡理情), Sha Wang(王莎), and Shu-Yu Lin(林书玉). Analysis on vibration characteristics of large-size rectangular piezoelectric composite plate based on quasi-periodic phononic crystal structure[J]. 中国物理B, 2022, 31(5): 54302-054302.

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Analysis on vibration characteristics of large-size rectangular piezoelectric composite plate based on quasi-periodic phononic crystal structure

Analysis on vibration characteristics of large-size rectangular piezoelectric composite plate based on quasi-periodic phononic crystal structure

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