摘要
为了提高线性压电振动能量采集器的输出特性,在线性压电振动能量采集器悬臂梁末端引入Duffing非线性磁力,构造了一种双稳态非线性压电振动能量采集器;综合考虑能量采集器的动态振型与轴向应变分布情况,建立了系统非线性机电耦合集总参数运动控制模型,并利用4阶、5阶Runge-Kutta算法对能量采集器的非线性振动特性进行了数值模拟;利用谐波平衡法计算获得了能量采集器的幅频响应方程,数值分析了激励频率、激励幅值以及磁铁间距等对系统非线性振动特性的影响,发现双稳态运动可以极大地提高能量采集器的频率响应范围和能量采集效率,并且能量采集器在低频、低幅值激励情况下可以产生大幅值周期运动;最后,通过实验对数值计算结果进行了验证。
In order to improve the output performances of the linear piezoelectric vibration energy harvester(PVEH),a bistable nonlinear PVEH was developed by adding a Duffing nonlinear magnetic force to a tip end of thelinear PVEH. The governing motion of the nonlinear electromechanical lumped parameter of the bistable PVEH wasderived with considering the dynamic shape and the axial strain of the cantilevered beam of the linear PVEH,a fouror five order Runge-Kutta algorithm was used to analyze the dynamic behaviors. The frequency responding functionwas derived with the resonant balance method;the effects of the exciting frequency,the exciting amplitude and thedistance between the two magnets were numerically studied. The research results have shown that the bistable mo-tion can not only improve the operating frequency wideband and the energy harvesting efficiency,but also easilymake it move in a periodic large-amplitude orbit under a low exciting frequency and amplitude. At last,some experi-ments are carried out to testify the validity of the numerical results.
出处
《传感技术学报》
CAS
CSCD
北大核心
2015年第10期1494-1502,共9页
Chinese Journal of Sensors and Actuators
基金
国家自然科学基金项目(51277165)
浙江省自然科学基金项目(LY15F010001
Y1080037)
浙江省教育厅项目(Y201223050)
浙江工商大学青年人才计划项目(QY11-23)
关键词
压电能量采集器
非线性振动特性
双稳态行为
Duffing非线性磁力
Piezoelectric energy harvester
nonlinear vibration characteristics
bistable behavior
Duffing nonlinear magnetic force
