Moving simulation of vibration systems using permanent magnets

Abstract

This paper presents results obtained in moving simulations for a new vibration system with permanent magnets. The magnetic field distributions, the force acting upon the permanent magnets and the vibration mechanism of the magneto-spring are made clear in solving the coupled problem of the magnetic field and motion equations. The developed magneto-spring works to keeping a constant resonance frequency without active control.

Modelling and Investigation of Energy Harvesting System Utilizing Magnetically Levitated Permanent Magnet

“…Models of the magnet movement in the magnetic spring are derived from Newton's second law, where the movement of the magnet depends on the forces acting on it [12,[17][18][19][20][21][22][23][24]. In the modeling of the magnet movement, authors are often focused on magnetic spring equation, not on the movement equation.…”

“…In [21] the force was calculated by subtraction of the repulsive force between two magnets and the force was derived from FEM calculation and 5th polynomial curve fitting. In [22] magnetic force was calculated using Maxwell's tensor method. In [23] magnet spring was used as a negative stiffness spring in addition to mechanical spring, magnetic spring force was derived using Ampere law.…”