Global Dynamics of the Vibrating System of a Tristable Piezoelectric Energy Harvester

Yijun Zhu and Huilin Shang ()
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Yijun Zhu: School of Mechanical Engineering, Shanghai Institute of Technology, Shanghai 201418, China
Huilin Shang: School of Mechanical Engineering, Shanghai Institute of Technology, Shanghai 201418, China

Mathematics, 2022, vol. 10, issue 16, 1-22

Abstract: Global dynamics of a piezoelectric energy harvester with tristable potential is investigated. The dynamical model of a cantilever beam energy harvester is considered; its static bifurcation is also discussed. Multiple intra-well attractors and their basins of attraction are presented to discuss the mechanism of multistability and its initial sensitivity. Moreover, the Melnikov method is applied to present the conditions for global bifurcations and the induced complex dynamics. The results show that the variation of coefficients of the polynomial may affect the number and shapes of potential wells, while the increase of the excitation amplitude may trigger multistability around one equilibrium, initial-sensitive jump, inter-well attractor and chaos. The results may provide some theoretical reference for increasing the working performance of energy harvesters.

Keywords: energy harvester; multistability; basin of attraction; fractal; chaos; global bifurcation (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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