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

作　　者：Jiawei MAO Hao GAO Junzhe ZHU Penglin GAO Yegao QU 

机构地区：[1]State Key Laboratory of Mechanical System and Vibration,Shanghai Jiao Tong University,Shanghai 200240,China

出　　处：《Applied Mathematics and Mechanics(English Edition)》2024年第10期1665-1684,共20页应用数学和力学（英文版）

基　　金：Project supported by the National Natural Science Foundation of China (Nos. U2141244, 11932011,12393781, 12121002, and 12202267);supported by the Oceanic Interdisciplinary Program of Shanghai Jiao Tong University(No.SL2021ZD104);the Science and Technology Cooperation Project of Shanghai Jiao Tong University&Inner Mongolia Autonomous Region-Action Plan of Shanghai Jiao Tong University for“Science and Technology Prosperity”(No.2022XYJG0001-01-08);the Industryuniversity-research Cooperation Fund of Shanghai Academy of Spaceflight Technology(No.USCAST2021-11);Shanghai Pujiang Program(No.22PJ1405300);Young Talent Reservoir of CSTAM(No.CSTAM2022-XSC-QN1);the Starting Grant of Shanghai Jiao Tong University(No.WH220402014).

摘　　要：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.

关 键 词：broadband vibration attenuation efficient closed-form analytical solution electromechanical coupling piezoelectric material vibration control 

分 类 号：O175.4[理学—数学]