Adaptive Influence Coefficient Control of Single-Plane Active Balancing Systems for Rotating Machinery

[+] Author and Article Information
Stephen W. Dyer

BalaDyne Corporation, Ann Arbor, MI 48108-2254

Jun Ni

Department of Mechanical Engineering, The University of Michigan, Ann Arbor, MI 48109-2136

J. Manuf. Sci. Eng 123(2), 291-298 (Feb 01, 2000) (8 pages) doi:10.1115/1.1349554 History: Received June 01, 1999; Accepted February 01, 2000
Copyright © 2001 by ASME
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Palazzolo, A. B., Jagannathan, S., Kascak, A. F., Montague, G. T., and Keraly, L. J., 1991, “Hybrid Active Vibration control of Rotorbearing Systems Using Piezoelectric Actuators,” DE-Vol. 38, Modal Analysis, Modeling, Diagnostics, and Control–Analytical and Experimental, ASME, pp. 227–240.
Lum,  K., Bernstein,  D. S., and Coppola,  V. T., 1996, “Adaptive Autocentering Control For An Active Magnetic Bearing Supporting A Rotor With Unknown Mass Imbalance,” IEEE Transactions on Control Systems Technology, 4, No. 5, pp. 587–597.
Bovik,  P., and Hogfors,  C., 1986, “Autobalancing of Rotors,” J. Sound Vib., 111, No. 3, pp. 429–440.
Van de Vegte,  J., 1964, “Continuous Automatic Balancing of Rotating Systems,” J. Mech. Eng. Sci., 6, No. 3, pp. 264–269.
Kaliszer,  H., and Orlowski,  M., 1988, “Microprocessor-Controlled Automatic Balancing Systems,” Inst. Mech. Eng., C313, pp. 109–115.
Van de Vegte,  J., and Lake,  R. T., 1978, “Balancing of Rotating Systems 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.
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., Joh,  Y. D., and Kim,  Y. D., 1990, “Automatic Modal Balancing of Flexible Rotors During Operation: Computer Controlled Balancing Head,” Proc. Inst. Mech. Eng., 204, pp. 19–25.
Bishop,  R. E. D., 1982, “On the Possibility of Balancing Rotating Flexible Shafts,” J. Eng. Sci., 24, No 4, pp. 215–220.
Genta, G., 1995, Vibration of Structures and Machines, 2nd Ed., Springer-Verlag, New York.
Shiau,  T. N., and Hwang,  J. L., 1993, “Generalized Polynomial Expansion Method for the Dynamic Analysis of Rotor-Bearing Systems,” ASME J. Eng. Gas Turbines Power, 115, pp. 209–217.
Genta,  G., and De Bona,  F., 1990, “Unbalance Response of Rotors: A Modal Approach with Some Extensions to Damped Natural Systems,” J. Sound Vib., 140, No. 1, pp. 129–153.
Macduff,  J. N., 1967, “A Procedure for Field Balancing Rotating Machinery,” Sound and Vibration, 1, No. 7, pp. 16–21.
Knospe,  C. R., Hope,  R. W., Tamer,  W. M., and Fedigan,  S. J., 1996, “Robustness of Adaptive Unbalance Control of Rotors With Magnetic Bearings,” J. Vib. Control, 2, pp. 33–52.
Knospe,  C. R., Hope,  R. W., Fedigan,  S. J., and Williams,  R. D., 1995, “Ex-periments in the Control of Unbalance Response Using Magnetic Bearings,” Mechatronics, 5, No. 4, pp. 385–400.
Dyer, S. W., Hackett, B. K., and Kerlin, J., 1998, “Electromagnetically Actuated Rotating Machine Unbalance Compensator,” U.S. Patent No. 5,757,662, May 26.
Harris, T. A., 1991, Rolling Bearing Analysis, 3rd Ed., Wiley, New York, p. 764.


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Schematic of active balancing system for high-speed machining spindles
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Vibration error signal demodulated to obtain the shaft rotation-synchronous frequency phasor
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Single-plane active balancing control stable for all values of (αc/c⁁) falling within the unit circle in the right half complex plane (R<1)
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Influence coefficient estimation performance for various values of the β “Forgetting Factor”
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Adaptive influence coefficient control block diagram
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Flow chart of experimental single-plane active balancing control system
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Experimental setup of single plane active balancing system on test spindle 2 mounted in a high-speed machining center
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Measured spindle housing vibration during active balancing of nonlinear system
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Measured time-frequency spectrum of spindle housing vibration showing broadband effect of active balancing of nonlinear system
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Measured spindle housing vibration during single-plane adaptive active balancing with inaccurate initial influence coefficient estimate
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Measured spindle housing vibration during single-plane active balancing after adaptive system “learning”
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Measured spindle housing vibration before and after adaptive active balancing at various spindle speeds (70 g-mm unbalance at tool tip)




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