Experimental and Numerical Study of a Magnetic Pendulum
摘要
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.