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

TL;DR

This paper presents a theoretical analysis of the nonlinear dynamics of a magnetic pendulum influenced by eddy current damping, introducing a mathematical model to describe its motion and braking forces.

Contribution

It introduces a new mathematical model for the nonlinear dynamics and damping forces of a magnetic pendulum interacting with a metal plate.

Findings

The model accurately describes the damping effects due to eddy currents.

Nonlinear oscillation behavior is characterized by the proposed model.

The analysis provides insights into the pendulum's motion under strong magnetic interactions.

Abstract

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.