白噪声激励下双稳态压电发电系统的响应分析

The Response Analysis of Bistable Piezoelectric Power Generation System under White Noise Excitation

研究了白噪声激励下双稳态压电发电系统的响应特性。首先利用蒙特-卡罗法模拟高斯白噪声;然后利用数值模拟和实验的方法分别分析了噪声强度、负载阻抗和初始值对系统响应特性的影响。得到了噪声强度的增加会减少双稳态系统两个稳定平衡点之间的跳跃时间。通过给出大幅运动的吸引域说明初始值会影响系统的运动状态,从而影响输出功率,当电阻为19.1kΩ时,输出功率最大。

The response characteristics of bistable piezoelectric power generation system under white noise excitation are studied.Fristly,Gaussian white noise is simulated by monte-carlo method.Then,the effect of noise intensity,load impedance and initial value on the system response under random excitation is studied numerically and experimentally.The results show that the time interval of the jump between two equilibrium points is reduced as the noise intensity increasing.The initial value and impedance will influence motion of the system,being proved by drawing the attraction domain of large amplitude motion.At the load impedance about 19.1kΩ,the output power has a maximum.