Applied Mathematics and Mechanics >
Analytical modeling of piezoelectric meta-beams with unidirectional circuit for broadband vibration attenuation
Received date: 2024-03-20
Online published: 2024-09-27
Supported by
the National Natural Science Foundation of China(U2141244);the National Natural Science Foundation of China(11932011);the National Natural Science Foundation of China(12393781);the National Natural Science Foundation of China(12121002);the National Natural Science Foundation of China(12202267);Project supported by the National Natural Science Foundation of China (Nos. U2141244, 11932011, 12393781, 12121002, and 12202267)
Copyright
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.
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, 2024 , 45(10) : 1665 -1684 . DOI: 10.1007/s10483-024-3155-9
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