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1998 - Draper Laboratory

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References[1] Nelson, H.D., “A Finite Rotating Shaft Element Using ReportERC Timoshenko Beam Theory,” Engineering ResearchCenter Report ERC-R-77023, Arizona State University,September 1977, p.61.[2] Nelson, H.D. and J.M. McVaughn, “The Dynamics of Rotor-Bearing Systems Using Finite Elements,” Trans. ASME,Journal of Engineering for Industry, May 1976, pp. 593-603.[3] Scholten, J.R., “A Magnetic Bearing System for HighTemperature Gas Turbine Applications,” published andpresented at IGTI, ASME, 1997.Free-Free Shaft100,000 lb/in (17.51x10 6 N/m) Bearing Stiffness-70,000 lb/in (-12.26x10 6 N/m) Starter-Generator StiffnessAmplitude 20log(x)0-100-20010 100 1000Frequency Hz(a)(d)0-rpm Rotor SpeedAmplitude 20log(x)0-100-20010 100 1000Frequency Hz00Amplitude 20log(x)-100-20010 100 1000Frequency HzAmplitude 20log(x)-100-20010 100 1000Frequency Hz(b)(e)13,400-rpm Rotor Speed00Amplitude 20log(x)-100-20010 100 1000Frequency Hz(c)Amplitude 20log(x)-10022,000-rpm Rotor Speed-20010 100 1000Frequency Hz(f)Figure 8. Bode plots of the rotor transfer function.Rotordynamic Modeling of an Actively Controlled Magnetic Bearing Gas Turbine Engine7

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