In the field of rotor balancing, the traditional influence coefficient method is often employed along with weighted least squares in order to reduce amplitude vibrations, typically at selected rotating speeds such as critical or operating ones. Usually, these weights are manually selected by the operator. In this paper, an automatic procedure for the balancing mass estimation based on robust regression methods is introduced. The analysis is focused on high breakdown-point and bounded-influence estimators. The effectiveness and robustness of the proposed balancing procedure are shown by means of simulations of a 180 MW gas turbo generator of a power plant.
Issue Section:
Technical Briefs
1.
Coakley
, C. W.
, and Hettmansperger
, T. P.
, 1993, “A Bounded Influence, High Breakdown, Efficient Regression Estimator
,” J. Am. Stat. Assoc.
0162-1459, 88
, pp. 872
–880
.2.
Adams
, M. L.
, 2001, Rotating Machinery Vibration: From Analysis to Trouble Shooting
, Marcel Dekker
, New York
.3.
Muszyńska
, A.
, 2005, Rotordynamics
, CRC
, Boca Raton, FL
.4.
Allaire
, P. E.
, Foiles
, W. C.
, and Gunter
, E. J.
, 2000, “Min-Max Optimum Flexible Rotor Balancing Compared to Weighted Least Squares
,” Proceedings of the Seventh International Conference on Vibrations in Rotating Machinery, IMechE
, Nottingham, UK, pp. 141
–148
.5.
Fox
, J.
, 2002, An R and S-PLUS Companion to Applied Regression
, Sage
, Thousand Oaks, CA
.6.
Huber
, P. J.
, 1981, Robust Statistic
, Wiley
, New York
.7.
Pennacchi
, P.
, 2008, “Robust Estimate of Excitations in Mechanical Systems Using M-Estimators—Theoretical Background and Numerical Applications
,” J. Sound Vib.
0022-460X, 310
(4–5
), pp. 923
–946
.8.
Rousseeuw
, P. J.
, and Yohai
, V.
, 1984, “Robust Regression by Means of S-Estimators
,” Robust and Nonlinear Time Series Analysis
, J.
Franke
, W.
Härdle
, and D.
Martin
, eds., Lecture Notes in Statistics
, No. 26
, Springer-Verlag
, Berlin
, pp. 256
–272
.9.
Yohai
, V. J.
, 1987, “High Breakdown-Point and High Efficiency Robust Estimates for Regression
,” Ann. Stat.
0090-5364, 15
(2
), pp. 642
–656
.10.
Croux
, C.
, Haesbroeck
, G.
, and Joossens
, K.
, 2008, “Logistic Discrimination Using Robust Estimators: An Influence Function Approach
,” Can. J. Stat.
0319-5724, 36
(1
), pp. 157
–174
.Copyright © 2010
by American Society of Mechanical Engineers
You do not currently have access to this content.