This paper summarizes the development of a finite element rotordynamic solution used in a closed loop simulation for a magnetic bearing rotor system in a gas, turbine engine. A magnetic bearing controlled rotor is analyzed, and the state dynamics matrix [A], the shaft control influence matrix [B], and the sensor matrix [C] are constructed. Bode plots of the state-space transfer function are also constructed and compared to the results of the rotor dynamic model.

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Nelson, H. D., and McVaughn, J. M., 1976, “The Dynamics of Rotor-Bearing Systems Using Finite Elements,” ASME Journal of Engineering for Industry, May, pp. 593–603.
Scholten, J. R., 1997, “A Magnetic Bearing System for High Temperature Gas Turbine Applications,” Rotor Dynamics, Turbo Expo ’97, ASME, New York.
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