Magneto-Mechanical Model of Passive Magnetic Axial Bearings versus the Eccentricity Error, Part I: Physical Mathematical Model

In this paper we illustrate a particular analytical numerical model of passive magnetic bearings with axial magnetization. The approach is based on the magnetic charges method. This method avoids the utilization of the finite element analysis. In relation to the system geometry, we find explicit formulations for computing magnetic fields by simple numerical integrations. A detailed magnetostatic model is developed and the nonlinearity of the magnetization vector M of the ring magnets can be considered by a very simple modification of the equations illustrated. The equations can be immediately implemented in a mathematical software and only few minutes are sufficient to obtain the results.