Research on the Periodic Solutions of the Rotor - ABMs System

Active Magnetic Bearings (AMBs) have been widely used in industry, aeronautics and astronautics for some significant advantages. The sensor is one of the important parts of the electromagnetic bearing system, the features of the sensor can affect the performance of the whole system. The nonlinear electromagnetic force may cause the considerable oscillations of the rotor with some parametric excitation. Thus, the research on characters of the nonlinear dynamics and the stability for the rotor-ABMs system has practical implication. The works in this current study focus on the study of the existence of the periodic solution, the numerical simulation of the solution and the stability of the periodic solution. Firstly, we present the motion equations of the rotorABMs system, by applying the multiple method of scale to the equations, we have the average equations and we get the sufficient condition of the existence of the periodic solution through using transformations, the Poincare mapping and the Melnikov function. Then, we have the phase diagrams by using the Matlab calculation software; we also analyze the phase diagrams which were under different parameters. The simulation results demonstrate the theory of the paper is correct. Copyright © 2014 IFSA Publishing, S. L.