双稳态压电-电磁复合俘能器非线性动力学分析  

Nonlinear dynamic analysis of a bistable piezoelectric-electromagnetichybrid energy harvester

作　　者：梅杰 倪祥禄[1,2] 宋钢 陈定方 李立杰 MEI Jie;NI Xianglu;SONG Gang;CHEN Dingfang;LI Lijie(Institute of Intelligent Manufacturing and Control,Wuhan University of Technology,Wuhan 430063,China;School of Transportation and Logistics Engineering,Wuhan University of Technology,Wuhan 430063,China;College of Engineering,Swansea University,Swansea SA18EN,UK)

机构地区：[1]武汉理工大学智能制造与控制研究所,湖北武汉430063 [2]武汉理工大学交通与物流工程学院,湖北武汉430063 [3]英国斯旺西大学工程学院,英国斯旺西SA18EN

出　　处：《武汉科技大学学报》2024年第1期55-70,共16页Journal of Wuhan University of Science and Technology

基　　金：国家自然科学基金项目(51805395)。

摘　　要：提出一种基于聚偏氟乙烯(PVDF)压电材料的双稳态悬臂梁式压电-电磁复合俘能器结构。考虑到大变形时材料的几何非线性特点,基于Euler-Bernoulli梁理论和Hamilton原理建立系统分布式参数模型,采用Galerkin法与谐波平衡法给出响应解析解;利用MATLAB仿真分析激励频率、激励幅值、磁铁间距和负载电阻对系统输出性能的影响,并运用龙格-库塔法分析俘能器的非线性动力学特性;通过电路仿真研究悬臂梁在不同振动状态下的整流滤波特性。结果表明:随着激励幅值的提高,系统阱间运动的频率带宽会逐渐增大;存在一组最优的压电负载和电磁负载,使得系统输出总功率达到最大;负载的改变不会影响阱间运动的频带宽度;随着激励的增强,系统在混沌运动和周期运动间进行状态转换,可以利用标准桥式整流滤波电路进行周期运动时的能量采集,但该电路无法稳定收集混沌运动时的系统输出。A bistable piezoelectric-electromagnetic hybrid energy harvester was constructed with a cantilever beam consisting of polyvinylidene fluoride(PVDF)piezoelectric material and steel base as the vibrating structure.Considering the materials’geometric nonlinearity under large deformation,the distributed parameter model of the system was developed based on Euler-Bernoulli beam theory and Hamilton principle.Galerkin method and harmonic balance method were used to deduce the analytical solution of the system response.The influences of excitation frequency,excitation amplitude,magnet spacing and load resistance on the system output performances were elaborated by using MATLAB simulation,and the nonlinear dynamic characteristics of the energy harvester were analyzed by Runge-Kutta method.Finally,circuit simulation was carried out to study the rectification and filtering characteristics of the cantilever beam under different vibration conditions.The results show that the frequency bandwidth of interwell motion increases when the excitation amplitude rises.There is a set of optimal piezoelectric load and electromagnetic load,which enables the total output power of the system to reach the maximum.The change of load does not affect the bandwidth of interwell motion.As the excitation is enhanced,the system switches between chaotic motion and periodic motion.The standard bridge rectifier-filter circuit can harvest the energy during periodic motion,but cannot collect the system output stably during chaotic motion.

关 键 词：压电-电磁复合俘能器 双稳态 几何非线性 阱间运动 非线性动力学分析 

分 类 号：TN712.5[电子电信—电路与系统]