逆压电效应对双稳态压电俘能器的性能影响研究  

Research on the influence of inverse piezoelectric effect on the performance of bi-stable piezoelectric energy harvester

作　　者：李园芳 何孔智 张宇 康小方 LI Yuan-fang;HE Kong-zhi;ZHANG Yu;KANG Xiao-fang(School of Engineering,Anhui Agricultural University,Hefei 230036,China;School of Civil Engineering,Anhui Jianzhu University,Hefei 230601,China)

机构地区：[1]安徽农业大学工学院,合肥230036 [2]安徽建筑大学土木工程学院,合肥230601

出　　处：《计算力学学报》2023年第1期153-158,共6页Chinese Journal of Computational Mechanics

基　　金：安徽省教育厅自然科学重点项目(KJ2019A0747);安徽省自然科学基金资助项目(2008085QE245);安徽农业大学人才启动经费项目(rc412009)。

摘　　要：为了研究逆压电效应对压电俘能效果的具体影响,本文首先分析了双稳态压电俘能器的分布参数型能量表达式,然后应用广义Hamilton变分原理推导了该俘能系统的动力学方程,最后采用谐波平衡法获得了动力响应解析解。通过对比不同激励频率下的数值仿真结果,讨论了逆压电效应对俘能系统动力响应的影响规律。结果表明,逆压电效应在不同工况下对俘能效果的影响并非单纯起抑制作用,在一定激励强度的高频激励下,逆压电效应对俘能效果的影响起增强作用;弱强度激励下的俘能效果则全程受到抑制作用。In order to study the specific influence of the inverse piezoelectric effect on the piezoelectric energy harvesting efficiency,this paper analyzed the energy expressions of distributed parameter model of a bi-stable piezoelectric energy harvester.Then the dynamic equation of the energy harvesting system was derived using the generalized Hamilton variational principle.Finally,the analytical solutions of the dynamic response were obtained by applying harmonic balance method.The influence of the inverse piezoelectric effect on the dynamic response of the energy harvesting system was discussed by comparing the numerical simulation results under different excitation frequencies.The results show that the influence of the inverse piezoelectric effect on the piezoelectric energy harvesting efficiency under different working conditions is not simply a restraining effect.Under a high frequency excitation with a certain excitation intensity,the inverse piezoelectric effect enhances the piezoelectric energy harvesting efficiency.However,the energy harvesting effect under low excitation is suppressed throughout the whole process.

关 键 词：逆压电效应 双稳态 压电俘能器 谐波平衡法 

分 类 号：O322[理学—一般力学与力学基础]