A New Observation System for Nonlinear Localized Oscillation Using Commercially Available Magnet

This paper proposes an Intrinsic Localized Mode (ILM) observation device using a magnetic spring made of a ring-shaped NdFeB magnet. Utilizing magnetic springs composed of ring-shaped magnets in equipment improves the availability of nonlinear springs. We made a holder to obtain the desired nonlinear spring characteristics. The relation between the magnetic repulsive force acting on the magnetic spring and the displacement of the magnetic spring was found to be a cubic function from magnetic field analysis and measurements. This result is equivalent to the lattice interactions in the Fermi Pasta Ulam (FPU) -β lattice. The excitation of ILM using the proposed magnetic spring is found to be theoretically feasible. Numerical simulation of ILM in MATLAB/Simulink using measured magnetic repulsive forces successfully observed localized vibrations. The simulation results show that the ILM can be observed with the proposed system.