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.

Issue Section:
Gas Turbines: Structures and Dynamics
Topics:
Gas turbines, Magnetic bearings, Modeling, Rotors, Dynamic models, Dynamics (Mechanics), Finite element analysis, Sensors, Simulation, Transfer functions
1.
Nelson, H. D., 1977, “A Finite Rotating Shaft Element Using Report ERC Timoshenko Beam Theory,” Engineering Research Center report no. ERC-R-77023, Arizona State University, Tempe, AZ, p. 61.
2.
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.
3.
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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Copyright © 1998
 by The American Society of Mechanical Engineers
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