| Considering the actuality of electro-magnetic bearing-rotor (EMBR) system, the magnetic force and the dynamic behaviors of the EMBR system is investigated in this paper. Studying works are as follows:1) The features of the Five-freedom EMBR are researched. Using the Two-variables Taylor series, the specific formula of magnetic force can be spread as the base of going into the effect of magnetic force on EMBR system and its dynamic behaviors.2) The numerical methods to analyze dynamic characteristics of the EMBR system is talked about. To the natural bearing-rotor system, the different three kind of numerical methods (central-quality method, beam-element method and finite element method) are applied. Numerical analysis is used to gain natural frequencies and modes of the system in distinct measures, compare and select the best way to use.3) The dynamic characteristics of the EMBR system supported by linear magnetic force are analyzed. Using the finite element methods to study the natural and linear bearing EMBR system, the inherent frequencies and modes are obtained.4) Considering the non-linear magnetic force, the dynamic behaviors of 4he EMBR system is investigated. Applying Poincare Mapping, Hopfbifurcation theory and Floquet stability theory to non-linear EMBR system, the corresponding bifurcation behaviors is researched. Selecting PD control, Hopf bifurcation theory and CPNF way is used to study the dynamic characteristics of equilibrium and periodic solution. The numerical value results by simulation are given.(5)In order to discuss the dynamic behaviors and stabilities of the EMBR system deeply, theory research is carried out:1The application of CPNF way in imbalance EMBR system periodic solution. 2 The application of Poincare-Cell-Mapping way in EMBR system global dynamic characteristics.
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