Mathematical model of a flexible asymmetrical rotor for active magnetic bearing reaction wheel

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Authors: Polyakov M. V., Lipovtsev A. A., Aleksanov A. A.

Annotation: The paper introduces the mathematical model of rotor for active magnetic bearing reaction/momentum wheels, used as actuator in spacecraft attitude and orbit control system. Developed model is used for estimation of critical speeds and forced oscillation magnitudes with a glance of the rotor modes. Rotor is considered as a two-mass system, consisting of a shaft and a rim, active magnetic bearings are assumed to be a linear elastic springs. The equations of the rotor motion are derived using the Lagrange equation. Developed model is verified by of the finite-element modal analysis, performed in the ANSYS software. comparing the calculated Campbell diagrams with the results

Keywords: electromagnetic bearing, critical speed, campbell diagram, reaction wheel