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Title: Mathematical model of a flexible asymmetrical rotor for active magnetic bearing reaction wheel
Authors: Polyakov, Miroslav
Lipovtsev, Anatoliy
Lyanzburg, Vladimir
Keywords: математические модели; роторы; колеса; подшипники; исполнительные механизмы; конечно-элементный анализ; программное обеспечение
Issue Date: 2018
Publisher: EDP Sciences
Citation: Polyakov M. Mathematical model of a flexible asymmetrical rotor for active magnetic bearing reaction wheel / M. Polyakov, A. Lipovtsev, V. Lyanzburg // MATEC Web of Conferences. — Les Ulis : EDP Sciences, 2018. — Vol. 158 : Space Engineering : VI International Forum for Young Scientists, April 26-28, 2018, Tomsk, Russia : [proceedings]. — [01025, 5 p.].
Abstract: 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 comparing the calculated Campbell diagrams with the results of the finite-element modal analysis, performed in the ANSYS software.
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