非线性双稳态压电俘能系统在有界噪声与谐和激励下的Melnikov混沌运动阈值分析

摘要

In this paper the dynamic response of nonlinear bi?stable piezoelectric nonlinear energy harvester system subjected bounded noise and harmonic excitations is investigated. The condition of starting chaotic motion is ob?tained based on Melnikov method. The results of numerical simulation show that the system could transform intra?well motion to inter?well motion near to a certain threshold, which verified the availability of theoretical analysis. The numerical results show that the amplitude of bounded noise and impedance have a significantly influence on ho?moclinic bifurcation. The state of system will change from chaotic motion into periodic motion. Chaotic attractor area will increase by increasing the intensity of Wiener process parameter.%研究了在有界噪声与谐和激励作用下非线性双稳态压电俘能系统的动力学响应特性.基于随机Melnikov理论推导出了系统发生阱间混沌运动的条件.通过数值模拟发现系统在临界阈值处由单阱运动演变为双阱混沌运动并验证了理论分析的有效性.研究结果表明有界噪声幅值和阻抗对系统发生同宿分岔有较大影响,随着非线性阻尼系数增加,系统由混沌运动变为周期运动,Wiener过程强度参数越大,系统混沌吸引子的面积就越大.