ANALYSIS OF NONLINEAR DYNAMICS OF A SINGLE MAGNETIC PENDULUM CONTROLLED BY THE INTERACTION OF A PLATE AND A MAGNET

Abstract

We theoretically analyzed the nonlinear dynamics of a magnetic pendulum. This pendulum consists of a cylindrical neodymium magnet oscillating toward a metal plane. The strong damping of the pendulum’s oscillations is caused by eddy currents induced in the metal plate. These currents generate a braking force that acts on the motion of the pendulum. In this paper, we proposed a mathematical model that describes the braking force acting on the magnetic pendulum and its nonlinear motion. The model takes into account the physical factors influencing the motion of the pendulum and makes it possible to determine how these factors affect the trajectory of motion. Such an approach is important for providing a theoretical basis and making predictions based on experimental observations.