Chaotic dynamics of a bi-stable energy harvesting system with asymmetric potential well characteristics

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Journal of Vibration and Shock ›› 2020, Vol. 39 ›› Issue (18) : 54-59.

LI Haitao1,2，DING Hu2,3，CHEN Liqun2,3,4

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Abstract

In this paper, the homoclinic bifurcation for bi-stable energy harvesting system with asymmetric potential well is investigated. Firstly, the nonlinear dynamic model of the bi-stable energy harvesting system with gravitational parameters is established. Then an analytic expression of the homoclinic orbit is obtained by analyzing the asymmetrical potential well of the governing equation. Melnikov method is used to obtain the threshold of homoclinic bifurcation, and the criteria are verified by numerical method. When the excitation intensity is lower than the critical threshold predicted by Melnikov method, the response is restricted the single asymmetric potential well; as the excitation intensity is larger 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 bi-stable energy harvesting system with asymmetric potential well is higher than that of the energy harvesting system with symmetric potential well. Increasing gravity parameters will suppress the generation of chaotic response, leading to the gradual evolution from the coexistence of chaotic and periodic response to the coexistence of periodic response. The results of this study will expand the scope of nonlinear dynamics and provide a strategy for chaos response control.

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LI Haitao1,2，DING Hu2,3，CHEN Liqun2,3,4. Chaotic dynamics of a bi-stable energy harvesting system with asymmetric potential well characteristics[J]. Journal of Vibration and Shock, 2020, 39(18): 54-59

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