带有非对称势能阱特性的双稳态能量采集系统混沌动力学分析

The homoclinic bifurcation of a bi-stable energy harvesting system with asymmetric potential well characteristics was investigated. Firstly, the nonlinear dynamic model of a bi-stable energy harvesting system with gravitational parameters was established. Then an analytic expression for the homoclinic orbit was derived by analyzing the asymmetrical potential well of the governing equation. The Melnikov method was used to obtain the threshold of homoclinic bifurcation, and the criteria were verified by a numerical method. When the excitation intensity is lower than the critical threshold predicted by the Melnikov method, the response is restricted in the single asymmetric potential well; as the excitation intensity is higher than the critical threshold, the bifurcation will trigger the double well response. The results show that the gravity parameter and the damping effect have an influence on the bifurcation threshold curve. The threshold value of the bi-stable energy harvesting system with asymmetric potential well characteristics is higher than that with symmetric potential well characteristics. Increasing gravity parameters will suppress the generation of chaotic response, leading to the gradual evolution from the coexistence of chaotic-periodic responses to the coexistence of periodic-periodic responses. The results will expand the scope of nonlinear dynamics and provide a strategy for chaotic response control.