This paper deals with the characterization of the blade manufacturing geometric tolerances in order to get a given level of amplification in the forced response of a mistuned bladed-disk. The theory is based on the use of a nonparametric probabilistic model of blade random uncertainties. The dispersion parameters controlling the nonparametric model are estimated as a function of the geometric tolerances. The industrial application is devoted to the mistuning analysis of a 22 blades wide chord fan stage. Centrifugal stiffening due to rotational effects is also included. The results obtained validate the efficiency and the reliability of the method on three-dimensional bladed disks.
Issue Section:
Gas Turbines: Structures and Dynamics
1.
Thomas
, D.
, 1979
, “Dynamics of Rotationally Periodic Structures
,” Int. J. Numer. Methods Eng.
, 14
, pp. 81
–102
.2.
Ohayon, R., and Soize, C., 1998, Structural Acoustics and Vibration, Academic Press, San Diego, CA.
3.
Whitehead
, D.
, 1966
, “Effects of Mistuning on the Vibration of Turbomachine Blades Induced by Wakes
,” J. Mech. Eng. Sci.
, 8
, pp. 15
–21
.4.
Ewins
, D.
, 1969
, “The Effects of Detuning Upon the Forced Vibrations of Bladed Disks
,” J. Sound Vib.
, 9
, pp. 65
–69
.5.
Dye
, R.
, and Henry
, T.
, 1969
, “Vibration Amplitudes of Compressor Blades Resulting From Scatter in Blade Natural Frequencies
,” ASME J. Eng. Power
, 91
, pp. 182
–187
.6.
Lin
, C.-C.
, and Mignolet
, M.
, 1997
, “An Adaptative Perturbation Scheme for the Analysis of Mistuned Bladed Disks
,” ASME J. Eng. Gas Turbines Power
, 119
, pp. 153
–160
.7.
Mignolet
, M.
, Lin
, C.-C.
, and LaBorde
, B.
, 2001
, “A Novel Limit Distribution for the Analysis of Randomly Mistuned Bladed Disks
,” ASME J. Eng. Gas Turbines Power
, 123
, pp. 388
–394
.8.
Griffin
, J.
, and Hoosac
, T.
, 1984
, “Model Development and Statistical Investigation of Turbine Blade Mistuning
,” ASME J. Vib., Acoust., Stress, Reliab. Des.
, 106
, pp. 204
–210
.9.
Sinha
, A.
, and Chen
, S.
, 1989
, “A Higher Order to Compute the Statistics of Forced Response of a Mistuned Bladed Disk Assembly
,” J. Sound Vib.
, 2
, pp. 207
–221
.10.
Yang
, M.-T.
, and Griffin
, J.
, 2001
, “A Reduced-Order Model of Mistuning Using a Subset of Nominal System Modes
,” ASME J. Eng. Gas Turbines Power
, 123
, pp. 893
–900
.11.
Castanier
, M.
, Ottarson
, G.
, and Pierre
, C.
, 1997
, “A Reduced Order Modeling Technique for Mistuned Bladed Disks
,” ASME J. Vibr. Acoust.
, 119
, pp. 439
–447
.12.
Bladh
, R.
, Castanier
, M.
, and Pierre
, C.
, 2001
, “Component-Mode-Based Reduced Order Modeling Techniques for Mistuned Bladed Disks-Part 1: Theoretical Models
,” ASME J. Eng. Gas Turbines Power
, 123
, pp. 89
–99
.13.
Petrov
, E.
, Sanliturk
, K.
, and Ewins
, D.
, 2002
, “A New Method for Dynamic Analysis of Mistuned Bladed Disks Based on the Exact Relationship Between Tuned and Mistuned Systems
,” ASME J. Eng. Gas Turbines Power
, 124
, pp. 586
–597
.14.
Seinturier, E., Dupont, C., Berthillier, M., and Dumas, M., 2002, “A New Aeroelastic Model for Mistuned Bladed Disks,” AIAA Paper No. 2002-1533.
15.
Soize
, C.
, 2000
, “A Nonparametric Model of Random Uncertainties for Reduced Matrix Models in Structural Dynamics
,” Probab. Eng. Mech.
, 15
, pp. 277
–294
.16.
Soize
, C.
, 2001
, “Maximum Entropy Approach for Modeling Random Uncertainties in Transient Elastodynamics
,” J. Acoust. Soc. Am.
, 109
, pp. 1979
–1996
.17.
Soize, C., 2001, “Nonlinear Dynamical Systems With Nonparametric Model of Random Uncertainties,” E-journal from Resonance Publication (http://www.resonancepub.com), Vol. 1, pp. 1–38.
18.
Capiez-Lernout, E., and Soize, C., 2003, “Specifying Manufacturing Tolerances for a Given Amplification Factor: A Nonparametric Probabilistic Methodology,” in American Society of Mechanical Engineers, International Gas Turbine Institute, Turbo Expo (Publication) IGTI, Vol. 4, pp. 183–194.
19.
Benfield
, W.
, and Hruda
, R.
, 1971
, “Vibration Analysis of Structures by Component Mode Substitution
,” AIAA J.
, 9
, pp. 1255
–1261
.20.
Seinturier, E., Lombard, J.-P., Berthillier, M., and Sgarzi, O., 2002, “Turbine Mistuned Forced Response Prediction Comparison With Experimental Results,” in American Society of Mechanical Engineers, International Gas Turbine Institute, Turbo Expo (Publication) IGTI, Vol. 4, pp. 943–952.
21.
Craig
, R.
, and Bampton
, M.
, 1968
, “Coupling of Substructures for Dynamic Analyses
,” AIAA J.
, 6
, pp. 1313
–1319
.22.
Soize
, C.
, 2003
, “Uncertain Dynamical Systems in the Medium-Frequency Range
,” ASCE J. Eng. Mech.
, 129
, pp. 1017
–1027
.23.
Soize
, C.
, and Chebli
, H.
, 2003
, “Random Uncertainties Model in Dynamic Substructuring Using a Nonparametric Probabilistic Model
,” ASCE J. Eng. Mech.
, 129
, pp. 449
–457
.24.
Capiez-Lernout
, E.
, and Soize
, C.
, 2004
, “Nonparametric Modeling of Random Uncertainties of Mistuned Bladed Disks
,” ASME J. Eng. Gas Turbines Power
, 126
, pp. 610
–618
.25.
Capiez-Lernout
, E.
, and Soize
, C.
, 2003
, “Probabilistic Model of Random Uncertainties in Structural Dynamics for Mistuned Bladed-Disks
,” Me´c. Ind.
, 4
, pp. 585
–594
.Copyright © 2005
by ASME
You do not currently have access to this content.