Nonlinear Transient Response of a Floating Body on Magnetic Supports Subjected to an Electromagnetic Force

This paper discusses a nonlinear transient response of a floating body supported by a magnetic force which is generated between two magnets of the same poles. In this system there are two kinds of nonlinearity, one of which is due to the restoring force between maguets and the other is due to the load which is a function of the displacement of the body. To treat these nonlinearities the restoring force is assumed to be a partly linear spring and the load is treated by the successive iteration method. This paper also considers the general transient load, and applies a combination method of the Fourier expansion and the Laplace transform method given by Nagaya. Numerical calculations have been carried out for one of the models. To verify the present analysis, experimental tests have also been performed for the same model treated in the numerical calculation.