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TECHNICAL PAPERS

Multi-State Transient Rotor Vibration Control Using Sampled Harmonics

[+] Author and Article Information
P. S. Keogh, M. O. T. Cole, C. R. Burrows

Department of Mechanical Engineering, Faculty of Engineering and Design, University of Bath BA2 7AY, UK

J. Vib. Acoust 124(2), 186-197 (Mar 26, 2002) (12 pages) doi:10.1115/1.1448321 History: Received August 01, 2000; Revised September 01, 2001; Online March 26, 2002
Copyright © 2002 by ASME
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References

Palazzolo,  A. B., Lin,  R. R., Kasak,  A. K., and Alexander,  R. M., 1989, “Active Control of Transient Rotordynamic Vibration by Optimal Control Methods,” ASME J. Eng. Gas Turbines Power, 111, pp. 264–270.
Palazzolo,  A. B., Lin,  R. R., Alexander,  R. M., Kasak,  A. F., and Montague,  G. T., 1991, “Test and Theory for Piezoelectric Actuator-Active Vibration Control of Rotating Machinery,” ASME J. Vibr. Acoust., 113, pp. 167–175.
Viggiano, F., and Schweitzer, G., 1992, “Blade Loss Dynamics of a Magnetically Suspended Rotor,” Proceedings, 3rd International Symposium on Transport Phenomena and Dynamics of Rotating Machinery, Hawaii, pp. 53–68.
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Yae,  K. H., and Inman,  D. J., 1993, “Control-Oriented Order Reduction of Finite Element Model,” ASME J. Dyn. Syst., Meas., Control, 115, pp. 708–711.
Keogh,  P. S., Mu,  C., and Burrows,  C. R., 1995, “Optimized Design of Vibration Controllers for Steady and Transient Excitation of Flexible Rotors,” Proc. Inst. Mech. Eng., Part C: J. Mech. Eng. Sci., 209, pp. 155–168.
Burrows,  C. R., and Sahinkaya,  M. N., 1983, “Vibration Control of Multi-Mode Rotor-Bearing Systems,” Proc. R. Soc. London, Ser. A, 386, pp. 77–94.
Knospe,  C. R., Hope,  R. W., Fedigan,  S. J., and Williams,  R. D., 1995, “Experiments in the Control of Unbalanced Response using Magnetic Bearings,” Mechatronics, 5, pp. 385–400.
Knospe, C. R., Hope, R. W., Fedigan, S. J., and Williams, R. D., 1994, “New Results in the Control of Rotor Synchronous Vibration,” Proceedings, 4th International Conference on Magnetic Bearings, Zurich, pp. 119–124.
Keogh,  P. S., Burrows,  C. R., and Berry,  T., 1996, “On-Line Controller Implementation for Attentuation of Synchronous and Transient Rotor Vibration,” ASME J. Dyn. Syst., Meas., Control, 118, pp. 315–321.
Knospe,  C. R., Hope,  R. W., Fedigan,  S. J., and Williams,  R. D., 1997, “A Multitasking DSP Implementation of Adaptive Magnetic Bearing Control,” IEEE Trans. Control Syst. Technol., 5, pp. 230–238.
Knospe,  C. R., Tamer,  S. M., and Fedigan,  S. J., 1997, “Robustness of Adaptive Rotor Vibration Control to Structured Uncertainty,” ASME J. Dyn. Syst., Meas., Control, 119, pp. 243–250.
Shafai,  B., Beale,  S., LaRocca,  P., and Cusson,  E., 1994, “Magnetic Bearing Control Systems and Adaptive Force Balancing,” IEEE Control Syst. Mag., 14, pp. 4–13.
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Figures

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(a) Schematic representation of discrete transient vibration control using harmonic components (b) System control with error in pth harmonic transfer function
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(a) Flexible rotor/magnetic bearing system layout (b) Mass loss mechanism and transducer pair
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Rotor synchronous vibration measured at non-driven end bearing and disk
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System identification for speed A (a) synchronous component of input signal (b) measured synchronous component response (c) 4th order inverse plant model (d) 9th order inverse plant model
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Theoretical stability regions showing relative system errors that can be tolerated for stable controller operation (a) one cycle delay in control action (b) two cycle delay in control action
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Experimentally determined stability regions
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Measured mass loss response (15.7 g at 0.5 s) at speed A (a) no control (b) k1=0.7,d1=0.7 (c) k1=0.85,d1=0.808 (d) k1=0.6,d1=0.588
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Measured mass loss response (15.7 g at 0.5 s) with k1=0.7,d1=0.7 (a) Speed B (b) Speed C (c) Speed D
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Measured mass loss response at speed A with k1=0.7,d1=0.7. (a) 35.7 g at 0.5 s, uncontrolled (b) 35.7 g at 0.5 s, controlled (c) 70.0 g at 0.5 s, controlled.

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