The problem of determining the maximum forced response vibration amplification that can be produced just by the addition of a small mistuning to a perfectly cyclical bladed disk still remains not completely clear. In this paper we apply a recently introduced perturbation methodology, the asymptotic mistuning model (AMM), to determine which are the key ingredients of this amplification process and to evaluate the maximum mistuning amplification factor that a given modal family with a particular distribution of tuned frequencies can exhibit. A more accurate upper bound for the maximum forced response amplification of a mistuned bladed disk is obtained from this description, and the results of the AMM are validated numerically using a simple mass-spring model.
Issue Section:
Gas Turbines: Structures and Dynamics
1.
Slater
, J.
, Minkiewicz
, R.
, and Blair
, A.
, 1999, “Forced Response of Bladed Disk Assemblies: A Survey
,” Shock Vib. Dig.
0583-1024, 31
, pp. 17
–24
.2.
Castanier
, M.
, and Pierre
, C.
, 2006, “Modeling and Analysis of Mistuned Bladed Disk Status and Emerging Directions
,” J. Propul. Power
0748-4658, 22
(2
), pp. 384
–396
.3.
Whitehead
, D.
, 1966, “Effect of Mistuning on the Vibration of Turbomachine Blades Induced by Wakes
,” J. Mech. Eng. Sci.
0022-2542, 8
(1
), pp. 15
–21
.4.
Han
, Y.
, and Mignolet
, M.
, 2007, ‘‘A Novel Perturbation-Based Approach for the Accurate Prediction of the Forced Response of Mistuned Bladed Disks
,” ASME Paper No. GT2007-27352.5.
Han
, Y.
, Xiao
, B.
, and Mignolet
, M.
, 2007, ‘‘Expedient Estimation of the Maximum Amplification Factor in Damped Mistuned Bladed Disks
,” ASME Paper No. GT2007-27353.6.
Petrov
, E.
, and Ewins
, D.
, 2003, “Analysis of the Worst Mistuning Patterns in Bladed Disk Assemblies
,” J. Turbomach.
0889-504X, 125
, pp. 623
–631
.7.
Ewins
, D.
, 1969, “The Effects of Detuning Upon the Forced Vibrations of Bladed-Disks
,” J. Sound Vib.
0022-460X, 9
(1
), pp. 65
–79
.8.
Sinha
, A.
, 1997, ‘‘Computation of the Maximum Amplitude of a Mistuned Bladed Disk Assembly via Infinity Norm
,” Proceedings of the 1997 ASME International Mechanical Engineering Congress and Exposition
, ASME
, New York
, Vol. AD-55
, pp. 427
–432
.9.
Kenyon
, J.
, and Griffin
, J.
, 2003, “Experimental Demonstration of Maximum Mistuned Bladed Disk Forced Response
,” ASME J. Turbomach.
0889-504X, 125
, pp. 673
–681
.10.
Kenyon
, J.
, Griffin
, J.
, and Feiner
, D.
, 2003, “Maximum Bladed Disk Forced Response From Distortion of a Structural Mode
,” J. Turbomach.
0889-504X, 125
, pp. 352
–363
.11.
Yang
, M.
, and Griffin
, J.
, 1997, “A Reduced Order Approach for the Vibration of Mistuned Bladed Disk Assemblies
,” ASME J. Eng. Gas Turbines Power
0742-4795, 119
, pp. 161
–167
.12.
Castanier
, M.
, Ottarson
, G.
, and Pierre
, C.
, 1997, “A Reduced Order Modeling Technique for Mistuned Bladed-Disks
,” J. Vibr. Acoust.
0739-3717, 119
(3
), pp. 439
–447
.13.
Yang
, M.
, and Griffin
, J.
, 2001, “A Reduced Order Model of Mistuning Using a Subset of Nominal Modes
,” ASME J. Eng. Gas Turbines Power
0742-4795, 123
, pp. 893
–900
.14.
Rivas-Guerra
, A.
, and Mignolet
, M.
, 2003, “Maximum Amplification of Blade Response Due to Mistuning: Localization and Mode Shape Aspects of the Worst Disks
,” ASME J. Turbomach.
0889-504X, 125
, pp. 442
–454
.15.
Feiner
, D.
, and Griffin
, J.
, 2002, “A Fundamental Model of Mistuning for a Single Family of Modes
,” ASME J. Turbomach.
0889-504X, 124
, pp. 597
–605
.16.
Feiner
, D.
, and Griffin
, J.
, 2004, “Mistuning Identification of Bladed Disks Using Fundamental Mistuning Model—Part I: Theory
,” ASME J. Turbomach.
0889-504X, 126
, pp. 150
–158
.17.
Feiner
, D.
, and Griffin
, J.
, 2004, “Mistuning Identification of Bladed Disks Using Fundamental Mistuning Model—Part II: Application
,” ASME J. Turbomach.
0889-504X, 126
, pp. 159
–165
.18.
Martel
, C.
, Corral
, R.
, and Llorens
, J.
, 2008, “Stability Increase of Aerodynamically Unstable Rotors Using Intentional Mistuning
,” ASME J. Turbomach.
0889-504X, 130
, p. 011006
.19.
Wilkinson
, J. H.
, 1988, “The Algebraic Eigenvalue Problem
,” Monographs on Numerical Analysis
, Oxford Science Publications, The Clarendon Press Oxford University Press
, New York
.20.
MacBain
, J.
, and Whaley
, P.
, 1984, “Maximum Resonant Response Mistuned Bladed Disks
,” ASME J. Vib., Acoust., Stress, Reliab. Des.
0739-3717, 106
, pp. 218
–223
.21.
Kenyon
, J.
, and Griffin
, J.
, 2003, “Forced Response of Turbine Engine Bladed Disks and Sensitivity to Harmonic Mistuning
,” ASME J. Turbomach.
0889-504X, 125
, pp. 113
–120
.22.
Whitehead
, D.
, 1998, “The Maximum Factor by Which Forced Vibration of Blades Can Increase Due to Mistuning
,” ASME J. Turbomach.
0889-504X, 120
, pp. 115
–119
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