Analysis of nonlinear dynamics in a single magnetic pendulum driven by plate-magnet interaction

We analyzed theoretically the nonlinear dynamics of a strong magnetic pendulum consisting of a cylindrical neodymium magnet swinging into a metal plane. The heavy damping of oscillations of the pendulum is caused by eddy currents induced in the metal plate. In this paper, we proposed a mathematical model to describe the braking force acting on the magnetic pendulum and its nonlinear motion.