Rotor stability is most commonly estimated using methods derived from a simple single degree of freedom system. When the modes of more complex systems, such as rotors, are closely spaced, we demonstrate that such methods can yield very poor estimates of the modal stability (damping ratio). Multiple output backward autoregression (MOBAR) is proposed as an alternative approach and is demonstrated to yield reasonably accurate estimates of modal damping even when modes are closely spaced. The performance of the MOBAR approach is then examined on an experimental rotor in tilt-pad bearings, demonstrating good performance in a realistic measurement setting.
Issue Section:
Gas Turbines: Structures and Dynamics
1.
API
, 2002, Axial and Centrifugal Compressors and Turboexpanders for Petroleum, Chemical and Gas Industry Services
, 7th ed., American Petroleum Institute
, Washington, DC
, Paper No. STD 617.2.
Maia
, N.
, and Silva
, J.
, eds., 1997, Theoretical and Experimental Modal Analysis
, Research Studies
, Baldock, England
.3.
Bucher
, I.
, Ewins
, D. J.
, and Robb
, D. A.
, 1996, ‘‘Modal Testing of Rotating Structures: Difficulties, Assumptions, and Practical Approach
,” Proceedings of the Sixth International Conference on Vibrations in Rotating Machinery, IMechE
, Oxford, England
, pp. 539
–562
.4.
Nordmann
, R.
, 1984, “Identification of Modal Parameters of an Elastic Rotor With Oil Film Bearings
,” ASME J. Vib., Acoust., Stress, Reliab. Des.
0739-3717, 106
, pp. 107
–112
.5.
Ljung
, L.
, 1999, System Identification: Theory for the User
, 2nd ed., Prentice-Hall
, Englewood Cliffs, NJ
.6.
Nordmann
, R.
, 1982, “Modal Parameter Identification and Sensitivity Analysis in Rotating Machinery
,” Proceedings of the Conference on Rotordynamic Problems in Power Plants, IFToMM
, Rome, Italy
, pp. 95
–102
.7.
Wohlrab
, R.
, 1976, “Einfluß der Lagerung auf die Laufstabilität Einfacher Rotoren mit Spalterregung
,” Konstruktion
, 28
, pp. 473
–478
.8.
Moore
, J. J.
, Walker
, S. T.
, and Kuzdzal
, M. J.
, 2002, ‘‘Rotordynamic Stability Measurement During Full-Load Full-Pressure Testing of a 6000 psi Re-Injection Centrifugal Compressor
,” Proceedings of the 31st Turbomachinery Symposium
, Texas A&M University
, pp. 29
–38
.9.
Phillips
, A. W.
, and Allemang
, R. J.
, 1996, ‘‘Single Degree-of-Freedom Modal Parameter Estimation Methods
,” Proceedings of the 14th International Modal Analysis Conference
, Honolulu, HI
, pp. 253
–260
.10.
Ewins
, D. J.
, 2000, Modal Testing: Theory, Practice and Application
, 2nd ed., Research Studies
, Baldock, England
.11.
Tasker
, F.
, and Chopra
, I.
, 1990, “Assessment of Transient Analysis Techniques for Rotor Stability Testing
,” J. Am. Helicopter Soc.
0002-8711, 35
(1
), pp. 39
–50
.12.
Kumaresan
, R.
, and Tufts
, D. W.
, 1982, “Estimating the Parameters of Exponentially Damped Sinusoids and Pole-Zero Modeling in Noise
,” IEEE Trans. Acoust., Speech, Signal Process.
0096-3518, ASSP-30
(6
), pp. 833
–840
.13.
Tasker
, F.
, and Chopra
, I.
, 1990, “Multi-Output Implementation of a Modified Sparse Time Domain Technique for Rotor Stability Testing
,” Proceedings of the Structures, Structural Dynamics and Materials Conference
, pp. 1871
–1884
, Paper No. AIAA-90-0946-CP, AIAA/ASME/ASCE/AHS.14.
Hung
, C. F.
, and Ko
, W. J.
, 2002, “Identification of Modal Parameters From Measured Output Data Using Vector Backward Autoregressive Model
,” J. Sound Vib.
, 256
(2
), pp. 249
–270
. 0022-460X15.
Kanki
, H.
, Fujii
, H.
, Hizume
, A.
, Ichimura
, T.
, and Yamamoto
, T.
, 1986. “Solving Nonsynchronous Vibration Problems of Large Rotating Machineries by Exciting Test in Actual Operating Condition
,” Proceedings of the International Conference on Rotordynamics IFToMM
, Tokyo, Japan
, pp. 221
–225
.16.
Baumann
, U.
, 1999, ‘‘Rotordynamic Stability Tests on High-Pressure Radial Compressors
,” Proceedings of the 28th Turbomachinery Symposium
, Texas A&M University
, pp. 115
–122
.17.
Cloud
, C. H.
, 2007, ‘‘Stability of Rotors Supported by Tilting pad Journal Bearings
,” Ph.D. thesis, University of Virginia, Charlottesville.18.
He
, M.
, 2003, ‘‘Thermoelastohydrodynamic Analysis of Fluid Film Journal Bearings
,” Ph.D. thesis, University of Virginia, Charlottesville.19.
Brockett
, T. S.
, and Barrett
, L. E.
, 1993, “Exact Dynamic Reduction of Tilting-Pad Bearing Models for Stability Analyses
,” STLE Tribol. Trans.
1040-2004, 36
(4
), pp. 581
–588
.Copyright © 2009
by American Society of Mechanical Engineers
You do not currently have access to this content.