Dynamic behavior comparison of a gravity-induced magnetic rolling pendulum energy harvester with mono- and bistable potentials
School of Aero Engine, Zhengzhou University of Aeronautics, 450046, Zhengzhou, China
2 School of Mechanics and Safety Engineering, Zhengzhou University, 450001, Zhengzhou, China
3 Engineering Technology Research Center of Henan Province for MEMS Manufacturing and Applications, Zhengzhou University, 450001, Zhengzhou, China
4 Institute of Intelligent Sensing, Zhengzhou University, 450001, Zhengzhou, China
Accepted: 25 June 2023
Published online: 3 July 2023
Due to the merits of small damping, magnetic rolling pendulum (MRP) has been widely applied in the area of energy harvesting to scavenge energy from vibration with low frequencies. For an MRP harvester, the gravity of the rolling magnet will play different roles on the nonlinear dynamics when the harvester is arranged horizontally and vertically. Therefore, the nonlinear dynamic behaviors of a gravity-induced MRP energy harvester with mono- and bistable potentials are compared in this study. The electromechanical model is derived and the output is estimated based on finite element analysis. Two configurations with different magnetic forces are taken into account, and this ensures that systems with mono- and bistable potentials are all considered. The nonlinear dynamics of the system subjected to harmonic excitation are compared by applying the response under constant and sweep frequency excitation with a level of 0.3 g. Numerical results indicate that the gravity of the rolling magnet can be applied to adjust the response frequency range, and the bistable configuration with shallow potentials is preferred at low frequencies. Furthermore, the multiple vibrational patterns of the bistable configuration are exhibited and identified by applying phase orbit, Poincaré map, frequency spectrum, recurrence plot, and 0–1 test. Overall, the application of gravity to achieve multistable vibration at lower frequencies would offer new ideas and methods for the design and optimization of nonlinear harvesters.
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