摘要
为了揭示三稳态压电振动能量采集器非对称势能阱的产生机理及其对采集器动力学特性的影响机制,考虑采集器压电悬臂梁大扰度几何非线性和末端磁铁重力效应,利用能量法和Hamilton原理建立了三稳态压电振动能量采集器的非线性动力学模型。仿真研究了几何非线性和磁铁重力对系统静态解分岔、势能阱特性及其动力学响应特性的影响规律,结果表明几何非线性和磁铁重力使压电振动能量采集器产生附加的三阶和五阶非线性刚度及重力势能,导致非对称势能阱的产生。非对称势能阱不仅有利于提高三稳态压电振动能量采集器的有效工作频带和能量转换效率,还可以降低采集器对环境振动强度的要求使其在较低激励加速度下可以进入高能轨道运动。实验验证了理论仿真结果的正确性。
In order to reveal the generation mechanism of the asymmetrical potential wells and its effects on the dynamic characteristics of the tri-stable piezoelectric energy harvester(TPEH),the nonlinear dynamic model of the TPEH is derived with the energy method and Hamilton principle by considering the geometric nonlinearity of the cantilever beam and the gravitation of the tip magnet. The effects of the geometric nonlinearity and magnet gravity on the bifurcations of equilibrium solution, potential energy wells and the dynamic characteristics of the TPEH are studied by simulation. The results show that the geometric nonlinearity and the tip magnet gravity can introduce additional 3-order and 5-order nonlinear stiffness and gravitation potential energy into the TPEH,leading to the generation of the asymmetric potential wells, which is beneficial to improve the dynamic performances of the energy harvester as well as the frequency bandwidth and the power generation ability. The simulating results are validated by experimental results.
作者
鞠洋
郑友成
朱强国
李颍
赵泽翔
王光庆
JU Yang;ZHENG Youcheng;ZHU Qiangguo;LI Ying;ZHAO Zexiang;WANG Guangqing(School of Information and Electronic Engineering(Sussex Artificial Intelligence Institute),Zhejiang Gongshang University,Hangzhou Zhejiang 310018,China)
出处
《传感技术学报》
CAS
CSCD
北大核心
2021年第8期1051-1061,共11页
Chinese Journal of Sensors and Actuators
基金
国家自然科学基金项目(51777192)
浙江自然科学基金项目(LY20E070001)。
关键词
三稳态能量采集器
非对称势能阱
几何非线性
重力效应
动力学特性
tri-stable piezoelectric energy harvester
asymmetric potential wells
geometric nonlinearity
gravitational effect
dynamic characteristics