Investigation of negative resistance shunt damping for the vibration control of a plate

In this study, vibration isolation of a plate is investigated by using an electromagnetic shunt damping vibration isolator. The isolator consists of a box-shaped spring, a permanent magnet, an electromagnet, and a shunt circuit. The two ends of the electromagnet connect the negative resistance shunt impedance to constitute a circuit. In principle, the negative resistance shunt impedance could improve the damping force by canceling the inherent resistance of the electromagnet. The governing equation of the plate is established according to Hamilton's principle and Galerkin's method. The numerical simulation is conducted and the result demonstrates that the isolator with the negative resistance shunt circuit is able to dampen the vibration of the plate. What's more, an interesting phenomenon is that the negative resistance shunt influences the natural frequencies of the coupling system.