Nonlinear Coupling between Magnetic Gears

Abstract: This study investigates the complex nonlinear coupling of magnetic gears arranged in proximity on a plane. Acknowledging the rich array of geometric and electromagnetic parameters involved, we initiate our exploration with a simplified model. By nondimensionalizing the key variables, we derive a novel nonlinear dynamics framework that abstracts away electromagnetic dependencies. Our approach includes analatic results, numerical simulations and experimental validation, emphasizing two distinct operational modes: free motion and constant driving motion. The findings highlight the intricate behaviors arising from these interactions, contributing to a deeper understanding of magnetic gear dynamics.