Nonlinear Dynamics of Magnetic Gears Using Two Fidget Spinners
DOI:
https://doi.org/10.47611/jsrhs.v13i3.7709Keywords:
magnetic gear, nonlinear oscillation, fidget spinner, permanent magnet, Biot-Savart law, Lorentz forceAbstract
Magnetic gears, massive in scale or largely simplified, exhibit highly nonlinear and chaotic behaviour. We investigate the underlying phenomenon of rotation of fidget spinners with Neodymium (Nd) magnets placed at their ends through a theoretical and experimental lens. A simplified model is proposed, combining both the mechanics (i.e. nonlinear vibration of rotary mass-spring-damper system) and electromagnetics (i.e. Bio-Savart law and Larentz force) of such gears. We derive a governing equation using Newton’s law and basic electromagnetic theories, solve it numerically via simulation, and explore rotation angle dissipation. Key parameters are then compared and matched across theory and experiment. This research has been motivated by one of the problems proposed for IYPT (International Young Physicists’ Tournament) 2024.
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Purcell, E. M., & Morin, D. J. (2013). Electricity and magnetism. Cambridge university press.
Ravaud, R., Lemarquand, G., Babic, S., Lemarquand, V., & Akyel, C. (2010). Cylindrical magnets and coils: Fields, forces, and inductances. IEEE Transactions on Magnetics, 46(9), 3585-3590. https://doi.org/10.1109/TMAG.2010.2049026
Taniguchi, T. (2018). An analytical computation of magnetic field generated from a cylinder ferromagnet. Journal of Magnetism and Magnetic Materials, 452, 464-472.
Tlali, P. M., Wang, R. J., & Gerber, S. (2014, September). Magnetic gear technologies: A review. In 2014 International Conference on Electrical Machines (ICEM) (pp. 544-550). IEEE. https://doi.org/10.1109/ICELMACH.2014.6960233
Vila, J., Paulino, G. H., & Ruzzene, M. (2019). Role of nonlinearities in topological protection: Testing magnetically coupled fidget spinners. Physical Review B, 99(12), 125116. https://doi.org/10.1103/PhysRevB.99.125116
Vokoun, D., Beleggia, M., Heller, L., & Šittner, P. (2009). Magnetostatic interactions and forces between cylindrical permanent magnets. Journal of magnetism and Magnetic Materials, 321(22), 3758-3763. https://doi.org/10.1016/j.jmmm.2009.07.030
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