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TECHNICAL PAPERS

Adaptive Control of Active Balancing Systems for Speed-Varying Rotors Using Feedforward Gain Adaptation Technique

[+] Author and Article Information
Kwang-Keun Shin, Jun Ni

Department of Mechanical Engineering, The University of Michigan, Ann Arbor, MI 48109

J. Dyn. Sys., Meas., Control 123(3), 346-352 (Jun 05, 1999) (7 pages) doi:10.1115/1.1388015 History: Received June 05, 1999
Copyright © 2001 by ASME
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References

Van de Vegte,  J., 1964, “Continuous Automatic Balancing of Rotating System,” J. Mech. Eng. Sci., 6, No. 3, pp. 264–269.
Van de Vegte,  J., and Lake,  R. T., 1978, “Balancing of Rotating System during Operation,” J. Sound Vib., 57, No. 2, pp. 225–235.
Gosiewski,  Z., 1985, “Automatic Balancing of Flexible Rotors, Part I: Theoretical Background,” J. Sound Vib., 100, No. 4, pp. 551–567.
Gosiewski, Z., 1987, “Automatic Balancing of Flexible Rotors, Part II: Synthesis of System,”
Lee,  C.-W., and Kim,  Y.-D., 1987, “Modal Balancing of Flexible Rotors during Operation: Design and Manual Operation of Balancing Head,” Proc. Inst. Mech. Eng., 201, No. C5, pp. 349–355.
Lee,  C.-W., and Kim,  Y.-D., 1990, “Automatic Modal Balancing of Flexible Rotors during Operation: Computer Controlled Balancing Head,” Proc. Inst. Mech. Eng., 204, No. C1, pp. 19–27.
Dyer, S. W., and Ni, J., 1999, “Adaptive Influence- Coefficient Control of Single-Plane Active Balancing Systems,” ASME-IMECE, Symposium on Sensors and Controls, Nashville, TN, Paper No. 98-k- 1345 (symp).
Knospe,  C. R., Hope,  R. W., Tamer,  S. M., and Fedigan,  S. J., 1996, “Robustness of Adaptive Unbalance Control of Rotors with Magnetic Bearings,” J. Sound Vib., 2, pp. 33–52.
Åström, K. J., and Wittenmark, B., 1995, Adaptive Control, 2nd ed., Addison Wesley, NY.
Khalil, H. K., 1996, Nonlinear Systems, 2nd ed., Prentice-Hall, NJ.
Darlow, M. S., 1989, Balancing of High-Speed Machinery, Springer-Verlag, New York.
Meirovitch, L., 1967, Analytical Methods in Vibrations, MacMillan, NY.

Figures

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Principle of active balancer
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Modified feedforward gain adaptation problem
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Jeffcott rotor with active balancer
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Block diagram of Jeffcott rotor
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Control block diagram of adaptive active balancing system for Jeffcott rotor
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Speed profile of the Jeffcott rotor
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Controlled vibration of the Jeffcott rotor with different gains
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Actuator movements of the Jeffcott rotor for different gains
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General description of a flexible rotor
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Control block diagram of adaptive active balancing system for flexible rotor
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Simulation model (flexible rotor)
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Mode shapes and natural frequencies of the simulation model
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Controlled vibration of the flexible rotor with different control gains
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Actuator movements of the flexible rotor for different gains

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