非线性双稳态压电俘能系统阱间阱内运动谐波分析
Harmonic Analysis of a Bistable Piezoelectric Energy Harvester on Intrawell and Interwell Oscillations

首先对压电俘能系统进行了平衡点分岔分析，证明其具有非线性双稳态特性，并且得到系统的运动方程。再采用谐波平衡法对双稳态压电俘能系统进行分析，推导出了激励幅值、激励频率、响应幅值及输出功率之间的解析关系式，预测了结构的阱内、阱间动力学响应。分析了阻尼、阻抗、激励幅值、激励频率等参数对响应幅值及输出功率的影响。结果表明，阻尼、阻抗对能量获取频带宽度、响应幅值有较大影响。系统阱间、阱内运动均有高、低能量态共存现象，不同激励幅值和激励频率下存在最优阻抗使得输出功率最大。
Firstly, the equilibrium bifurcation analysis of the piezoelectric system proves its nonlinear bistable characteristics, and also obtains the equations of motion. Then, the harmonic balance method is applied to derive relationship of the excitation amplitude, excitation frequency, response amplitude and output power. It could predict dynamic responses of the intrawell and interwell oscillations of the bistable piezoelectric energy harvester. The effects of the parameters, such as damping, impedance, excitation amplitude and excitation frequency on the response amplitude and output power, are analyzed. The results show that the damping and impedance have a great influence on the width and the amplitude of the energy harvester. There exist the high and low energy states for intrawell and interwell oscillations. The maximum power could be got by adjusting impedance under the excitation with different amplitudes and frequencies