Technical Brief

Modally Tuned Influence Coefficients for Low-Speed Balancing of Flexible Rotors

[+] Author and Article Information
Y. A. Khulief

Department of Mechanical Engineering,
King Fahd University of Petroleum & Minerals,
KFUPM Box 1767,
Dhahran 31261, Saudi Arabia
e-mail: khulief@kfupm.edu.sa

Wasiu Oke

Department of Mechanical Engineering,
King Fahd University of Petroleum & Minerals,
KFUPM Box 1767,
Dhahran 31261, Saudi Arabia
e-mail: wasiuad@kfupm.edu.sa

M. A. Mohiuddin

Data & Consulting Services,
Schlumberger Dhahran Tech Valley,
Dhahran 31261, Saudi Arabia
e-mail: MMohiuddin2@slb.com

1Corresponding author.

Contributed by the Design Engineering Division of ASME for publication in the JOURNAL OF VIBRATION AND ACOUSTICS. Manuscript received August 2, 2012; final manuscript received October 21, 2013; published online December 18, 2013. Assoc. Editor: Yukio Ishida.

J. Vib. Acoust 136(2), 024501 (Dec 18, 2013) (5 pages) Paper No: VIB-12-1220; doi: 10.1115/1.4025995 History: Received August 02, 2012; Revised October 21, 2013

The need to devise a low-speed balancing method for balancing high-speed rotors was recognized and addressed. In this paper, a scheme that combines both the influence coefficients and modal balancing techniques is presented. The scheme is developed for low-speed balancing of high-speed rotors, and relies on knowledge of the modal characteristics of the rotor. The conditions for applicability of the method were stated in the light of the experientially estimated rotor deflection mode shapes. An experimental test rig of a flexible rotor was constructed to verify the applicability and reliability of the low-speed balancing scheme.

Copyright © 2014 by ASME
Topics: Rotors
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Ehrich, R., 1980, “High Speed Balancing Procedure,” 9th Turbomachinery Symposium, Turbolab, Texas A&M University, College Station, TX, pp. 25–31.
Bishop, R. E., and Parkinson, A. G., 1963, “On the Isolation of Modes in the Balancing of Flexible Shafts,” Proc. Inst. Mech. Eng., 177, pp. 407–426. [CrossRef]
Lund, J. W., and Orcutt, F. K., 1967, “Calculation and Experiments on the Unbalance Response of a Flexible Rotor,” ASME J. Ind. Ser. B, 89(4), pp. 785–796. [CrossRef]
Parkinson, A. G., Darlow, M. S., and Smally, A. J., 1980, “A Theoretical Introduction to the Development of a Unified Approach to Flexible Rotor Balancing,” J. Sound Vibr., 68(4), pp. 489–506. [CrossRef]
Gnielka, P., 1983, “Modal Balancing of Flexible Rotors Without Test Runs: An Experimental Investigation,” J. Sound Vibr., 90(2), pp. 157–172. [CrossRef]
Morton, P. G., 1985, “Modal Balancing of Flexible Shafts Without Trial Weights,” Proc. Inst. Mech. Eng. Part C, 199(1), pp. 71–78. [CrossRef]
RiegerN., 1986, “Balancing of a Rigid and Flexible Rotor,” Shock Vibr. Monogr., No. 12.
Maxwell, S., 1993, “Recent Trends in Balancing Turbomachinery,” Symposium on Industrial Applications of Gas Turbines, Alberta, Canada, October 13–15.
Krodkiewski, J. M., Ding, J., and Zhang, N., 1994, “Identification of Unbalance Change Using a Nonlinear Mathematical Model for Rotor–Bearing Systems,” J. Vibr., 169, pp. 685–698. [CrossRef]
Xu, B., Qu, L., and Sun, R., 2000, “The Optimization Technique-Based Balancing of Flexible Rotors Without Test Runs,” J. Sound Vibr., 238(5), pp. 877–892. [CrossRef]
Kang, Y., Lin, T. W., Cheng, Y. J., Chang, Y. P., and Wang, C. C., 2008, “Optimal Balancing of Flexible Rotors by Minimizing the Condition Number of Influence Coefficients,” Mech. Machine Theory, 43, pp. 891–908. [CrossRef]
Villafane Saldarriaga, M., Steffen, Jr., V., Der Hagopian, J., and Mahfoud, J., 2011, “On the Balancing of Flexible Rotating Machines by Using an Inverse Problem Approach,” J. Vibr. Control, 17(7), pp. 1021–1033. [CrossRef]
Giordano, J., and Zorzi, E., 1986, “Balancing High-Speed Rotors at Low Speed,” NASA Tech Briefs, MFS-28130.
Speckhart, F. H., and Funderlic, R. E., 1989, “A Method for Using Transfer Matrix Methods for Balancing Flexible Rotors,” Advances in Design Automation, Montreal, Canada, September 17–21, ASME Design Engineering Division, DE-12730, 18(1), pp. 389–393.
Tan, S. G., and WangX. X., 1993, “A Theoretical Introduction to Low Speed Balancing of Flexible Rotors: Unification and Development of the Modal Balancing and Influence Coefficient Techniques,” J. Sound Vibr., 168(3), pp. 385–394. [CrossRef]
Shi, L., 2005, “A Modified Balancing Method for Flexible Rotors Based on Multi-Sensor Fusion,” J. Appl. Sci., 5(3), pp. 465–469. [CrossRef]
Rossi, C., 1995, “Unconventional Method for Flexible Rotors Balancing,” J. Theor. Appl. Mech., 1(33), pp. 83–97.


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Fig. 1

The instrumented test rig

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Fig. 2

The simulated rotor response

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Fig. 3

The rotor response at 600 rpm

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Fig. 4

The rotor running at 2500 rpm

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Fig. 5

The rotor running at 2500 rpm (after low-speed balancing at 600 rpm)

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Fig. 6

The rotor running at 7200 rpm

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Fig. 7

The rotor running at 7200 rpm (70.6 reduction after low-speed balancing at 600 rpm)




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