Analytical modeling of piezoelectric meta-beams with unidirectional circuit for broadband vibration attenuation

doi:10.1007/s10483-024-3155-9

摘要/Abstract

Abstract:

Broadband vibration attenuation is a challenging task in engineering since it is difficult to achieve low-frequency and broadband vibration control simultaneously. To solve this problem, this paper designs a piezoelectric meta-beam with unidirectional electric circuits, exhibiting promising broadband attenuation capabilities. An analytical model in a closed form for achieving the solution of unidirectional vibration transmission of the designed meta-beam is developed based on the state-space transfer function method. The method can analyze the forward and backward vibration transmission of the piezoelectric meta-beam in a unified manner, providing reliable dynamics solutions of the beam. The analytical results indicate that the meta-beam effectively reduces the unidirectional vibration across a broad low-frequency range, which is also verified by the solutions obtained from finite element analyses. The designed meta-beam and the proposed analytical method facilitate a comprehensive investigation into the distinctive unidirectional transmission behavior and superb broadband vibration attenuation performance.

Key words: broadband vibration attenuation, efficient closed-form analytical solution, electromechanical coupling, piezoelectric material, vibration control

中图分类号:

34M03

. [J]. Applied Mathematics and Mechanics (English Edition), 2024, 45(10): 1665-1684.

Jiawei MAO, Hao GAO, Junzhe ZHU, Penglin GAO, Yegao QU. Analytical modeling of piezoelectric meta-beams with unidirectional circuit for broadband vibration attenuation[J]. Applied Mathematics and Mechanics (English Edition), 2024, 45(10): 1665-1684.

图/表 8

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