A nonlinear energy sink with variable magnetic coupling
摘要
In this study, a nonlinear energy sink (NES) with an electromagnetic energy harvester is considered to mitigate structural vibration as well as to harvest energy. NES is housed within a linear oscillating system. The connection to the host structure is through springs that induce geometric nonlinearity. A magnet levitating through a coil is fixed to the NES. The coupling, connecting the mechanical subsystem and the electrical coil, is derived by calculating the electromagnetic flux change w.r.t. the relative location of the magnet to the coil. Two different magnetic configurations leading to different coupling coefficients reveal interesting insights into the harvester’s dynamics. Further, monostable and bistable potential wells are analyzed for different magnetic configurations. Dynamical analysis gives insights into selecting a suitable magnetic configuration for monostable and bistable configurations. In the bistable case, a novel analysis is conducted to determine the optimal equilibrium offset between stable points, revealing that maximum power is achieved when velocity–flux gradient interplay is maximized. Further, a comparison of overall performance between monostable and bistable NES is reported. Finally, the contributions of the NES and the energy harvester in dissipating the vibration of the host structure are discussed.