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TECHNICAL PAPERS

Method for Analysis of Nonlinear Multiharmonic Vibrations of Mistuned Bladed Disks With Scatter of Contact Interface Characteristics

[+] Author and Article Information
E. P. Petrov, D. J. Ewins

Centre of Vibration Engineering, Mechanical Engineering Department, Imperial College London, South Kensington Campus, London SW7 7AZ, UK

J. Turbomach 127(1), 128-136 (Feb 09, 2005) (9 pages) doi:10.1115/1.1812781 History: Received October 01, 2003; Revised March 01, 2004; Online February 09, 2005
Copyright © 2005 by ASME
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References

Whitehead,  D. S., 1966, “Effect of Mistuning on the Vibration of Turbomachines Induced by Wakes,” J. Mich. Eng. , 8(1), pp. 15–21.
Dye,  R. C. F., and Henry,  T. A., 1969, “Vibration Amplitudes of Compressor Blades Resulting From Scatter in Blade Natural Frequencies,” ASME J. Eng. Power, 91, pp. 182–188.
Ewins,  D. J., 1969, “Effect of Detuning Upon the Forced Vibration of Bladed Discs,” J. Sound Vib., 9(1), pp. 65–79.
Ewins, D. J., 1991, “The Effects of Blade Mistuning on Vibration Response—A Survey,” IFToMM 4th International Conference on Rotordynamics, Prague, Czechoslovakia.
Slater,  J. C., Minkiewicz,  G. R., and Blair,  A. J., 1999, “Forced Response of Bladed Disk Assemblies—A Survey,” Shock Vib. Dig., 31(1), pp. 17–24.
Yang,  M.-T., and Griffin,  J. H., 2001, “A Reduced-Order Model of Mistuning Using a Subset of Nominal System Modes,” ASME J. Eng. Gas Turbines Power, 123, pp. 893–900.
Petrov,  E. P., Sanliturk,  K. Y., and Ewins,  D. J., 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, 122(3), pp. 586–597.
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Sanliturk,  K. Y., Imregun,  M., and Ewins,  D. J., 1997, “Harmonic Balance Vibration Analysis of Turbine Blades With Friction Dampers,” ASME J. Vibr. Acoust., 119, pp. 96–103.
Berthillier,  M., Dupont,  C., Mondal,  R., and Barrau,  R. R., 1998, “Blades Forced Response Analysis With Friction Dampers,” ASME J. Vibr. Acoust., 120, pp. 468–474.
Chen, J. J., and Menq, C. H., 1999, “Prediction of Periodic Response of Blades Having 3D Nonlinear Shroud Constraints,” ASME Paper No. 99-GT-289.
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Petrov,  E., and Ewins,  D., 2003, “Analytical Formulation of Friction Interface Elements for Analysis of Nonlinear Multi-Harmonic Vibrations of Bladed Discs,” ASME J. Turbomach., 125, pp. 364–371.
Petrov, E., and Ewins, D., 2002, “Analysis of Nonlinear Multiharmonic Vibrations of Bladed Discs With Friction and Impact Dampers,” Proc. 7th National Turbine Engine HCF Conference, May 14–17, 2002, Palm Beach Gardens, Florida, 11p.
Petrov, E. P., 2003, “A Method for Use of Cyclic Symmetry Properties in Analysis of Nonlinear Multiharmonic Vibrations of Bladed Discs,” Proc. of ASME Turbo Expo 2003, June, Atlanta, ASME, New York, ASME Paper No. GT-2003-38480.
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Petrov, E., and Ewins, D., 2003, “Analysis of Forced Response for Nonlinear Vibration of Mistuned Bladed Discs,” Proc. 8th National Turbine Engine HCF Conference, April 14–16, 2003, Monterey, CA.

Figures

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Possible sources of mistuning analyzed: (a) scatter of shroud contacts, (b) individual blade mistuning, and (c) scatters in root contact and underplatform damper properties
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A simplified model of the bladed disk
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Forced responses for all blades of the model with gap-type nonlinearity: (a) a tuned case, and (b) the structure is mistuned by gap alternation
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Forced responses for all blades of the model with friction dampers: a tuned case (a), and cases of the structure mistuned by scatters of the friction dampers’ stiffness (b) and normal load (c)
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Blade forced responses for the bladed turbine disk mistuned by the normal load at the UPD: (a) comparison with limiting linear case, and (b) scatter of blade FRFs
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Blade forced responses for the bladed turbine disk mistuned by stiffness of the UPD
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Forced responses of the bladed turbine disk mistuned by shroud gaps: (a) FRFs for all blades, and (b) envelope of the FRFs and comparison with a tuned case
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Maximum normalized amplitudes for each of the blades found over the first resonance frequency range
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Maximum amplification factors for different kinds of blade and interface mistuning
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Envelope of the maximum response levels of the bladed disk with frequency-mistuned blades and shroud contacts compared with the tuned responses

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