基于Euler Bernoulli理论的压电系统集中参数模型修正  

Modification of Lumped-parameter Model of Piezoelectric Systems based on Euler Bernoulli Theory

作　　者：宋伟志[1] 周辉[1] 张晨骏 陈智勇[1] 赵海军[1,2] 岳遂录 SONG Weizhi;ZHOU Hui;ZHANG Chenjun;CHEN Zhiyong;ZHAO Haijun;YUE Suilu(Luoyang Institute of Science and Technology, Luoyang 471023, Henan China;Tianjin University of Technology and Education, Tianjin 300222, China)

机构地区：[1]洛阳理工学院,河南洛阳471023 [2]天津职业技术师范大学,天津300222

出　　处：《噪声与振动控制》2019年第2期42-46,共5页Noise and Vibration Control

基　　金：国家自然科学基金联合基金资助项目(U1604141);河南省自然科学基金资助项目(162300410197);河南省科技攻关资助项目(182102310043);洛阳理工学院预研资助项目(2017YZY13)

摘　　要：针对压电俘能系统悬臂梁结构集中参数模型的局限性,引入Euler Bernoulli梁振动模型。通过分析两模型在振动时相对位移传递率发现,集中参数模型在基础激励情况下,传递率峰值存在较大偏差。理论分析Euler Bernoulli及集中参数模型在1阶模态附近位移传递率函数,对集中参数模型进行修正。仿真及有限元结果表明修正后的集中参数模型相对位移传递率峰值与Euler Bernoulli模型在低阶模态吻合良好。The Euler-Bernoulli beam vibration model is introduced for the limitation of the lumped-parameter model of cantilever structures in piezoelectric energy capture systems. The relative displacement transfer rates of the Euler-Bernoulli beam model and the lumped-parameter model under base excitation are analyzed. The results show that the relative error of the transfer rate peak value resulted from the lumped-parameter model in predicting the relative motion at the tip of the beam is very large. Then, the displacement transfer functions near the first-order modal of the two models are analyzed theoretically. According to the results, the lumped-parameter model is modified. The simulation and finite element analysis results show that the peak value of the relative displacement transmissibility of the modified lumped-parameter model agrees well with the Euler Bernoulli model in low-order modes.

关 键 词：振动与波 集中参数模型 EULER BERNOULLI 模型 相对位移传递率 修正 

分 类 号：TH113.1[机械工程—机械设计及理论] TN384[电子电信—物理电子学]