Dynamic Model of a 5-Axis Magnetic Bearing System with Flexible Rotor

This paper describes the derivation of a nonlinear ordinary differential equation model for a flexible rotor supported by magnetic bearings. The model is based on a finite element formulation which divides the rotor into flexible Euler-Bernoulli beam elements. In addition to the Euler-Bernoulli assumption, the derivation assumes no axial deformation, no internal damping, and no mass unbalance. The derived model can be readily implemented in Matlab for purposes of time-domain simulation.