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TECHNICAL PAPERS

Robust Optimal Influence-Coefficient Control of Multiple-Plane Active Rotor Balancing Systems

[+] Author and Article Information
Stephen W. Dyer

BalaDyne Corporation, 1665 Highland Drive, Ann Arbor, MI 48108-2254e-mail: sdyer@baladyne.com

Jianjun Shi

Industrial and Operations Engineering Department, The University of Michigan, Ann Arbor, MI 48109-2117e-mail: shihang@umich.edu

Jun Ni

Department of Mechanical Engineering, The University of Michigan, Ann Arbor, MI 48109-2136e-mail: junni@umich.edu

Kwang-Keun Shin

General Motors Corporation, P.O. Box 9055, Warren, MI 48090-9055e-mail: kwang-keun.shin@gm.com

J. Dyn. Sys., Meas., Control 124(1), 41-46 (Sep 17, 2001) (6 pages) doi:10.1115/1.1435622 History: Received September 17, 2001
Copyright © 2002 by ASME
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References

Vande Vegte,  J., and Lake,  R. T., 1978, “Balancing of Rotating Systems During Operation,” J. Sound Vib., 57, No. 2, pp. 225–235.
Pardivala, D., Dyer, S. W., and Bailey, C. D., 1998, “Design Modifications and Active Balancing On An Integrally Forged Steam Turbine Rotor To Solve Serious Reliability Problems,” Proceedings of the 27th Turbomachinery Symposium, Houston, Texas, Texas A & M University, pp. 67–75.
Bishop,  R. E. D., 1982, “On the Possibility of Balancing Rotating Flexible Shafts,” Journal of Engineering Science, 24, No. 4, pp. 215–220.
Lee,  C. W., Joh,  Y. D., and Kim,  Y. D., 1990, “Automatic Modal Balancing of Flexible Rotors During Operation: Computer Controlled Balancing Head,” Proceedings of the Institute of Mechanical Engineers, 204, pp. 19–25.
Knospe,  C. R., Hope,  R. W., Fedigan,  S. J., and Williams,  R. D., 1995, “Experiments in the Control of Unbalance Response Using magnetic Bearings,” Mechatronics, 5, No. 4, pp. 385–400.
Manchala, D. W., Palazzolo, A. B., Kascak, A. F., Montague, G. T., and Brown, G. V., 1994, “Active Vibration Control of Sudden Mass Imbalance in Rotating Machinery,” DE-Vol. 75, Active Control of Vibration and Noise, ASME, pp. 133–148.
Machala,  D., Palazzolo,  A., Kascak,  A., and Montague,  G., 1997, “Constrained Quadratic Programming, Active Control of Rotating Mass Imbalance,” J. Sound Vib., 205, No. 5, Sept. 4, pp. 561–580.
Goodman,  T. P., 1964, “A Least-Squares Method for Computing Balance Corrections,” ASME J. Ind., pp. 273–279.
Darlow, M. S., 1989, Balancing of High-Speed Machinery, Springer-Verlag, New York.
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.
Lewis, F. L., 1992, Applied Optimal Control & Estimation: Digital Design and Implementation, Prentice Hall, Englewood Cliffs, New Jersey.
Dyer, S. W., and Ni, J., 1999, “Adaptive Influence-Coefficient Control of Single-Plane Active Balancing Systems,” Manufacturing Science and Engineering, ASME-IMECE 1999, MED-10, pp. 747–755.

Figures

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Experimental flexible rotor test stand with active balancing devices installed in two axial planes
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Predicted mode shapes of flexible rotor test rig for first two critical speeds
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Predicted forced response deflected shape of rotor at 3100 rpm due to 245 g-mm unbalance at drive-end active balancing plane
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Comparitive results of single-plane and dual-plane active balancing
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Optimal control results with and without control effort penalty
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Optimal control results for inaccurate influence matrix estimate

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