Abstract
A lab-scale experiment has been performed on a magnetic plane pendulum, which includes a permanent magnet that interacts with an electromagnet. For different supply voltages of the electromagnet, the free non-linear vibrations of the pendulum-magnet system were measured to demonstrate the influence of the distance-dependent magnetic interaction force on the response. Due to the presence of the electromagnet, a modulation of the pendulum’s natural frequency of approximately 10% is observed. When the magnetic interaction force is repulsive, the natural frequency increases, and when the magnetic interaction force is attractive, the natural frequency decreases. A mathematical model of a plane pendulum, which includes a simple expression for the magnetic interaction force, is formulated that successfully reproduces the measured modulation of the system’s natural frequency.
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Acknowledgements
This research is part of the FOX6000 project, which is funded by the Netherlands Enterprise Agency (RVO). The authors gratefully acknowledge the crucial contribution of Kees van Beek, Fred Schilperoort, and Peter de Vries of the Stevin II laboratory to the experimental work.
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Meijers, P.C., Atzampou, P., Metrikine, A.V. (2024). Experimental and Numerical Study of a Magnetic Pendulum. In: Lacarbonara, W. (eds) Advances in Nonlinear Dynamics, Volume I. ICNDA 2023. NODYCON Conference Proceedings Series. Springer, Cham. https://doi.org/10.1007/978-3-031-50631-4_59
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DOI: https://doi.org/10.1007/978-3-031-50631-4_59
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