The Analysis of Melnikov Chaotic Motion Threshold of Nonlinear Bistable Piezoelectric Energy Harvester System Subjected Bounded Noise and Harmonic Excitation

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 obtained 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 homoclinic 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.