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TECHNICAL PAPERS

Analytical Formulation of Friction Interface Elements for Analysis of Nonlinear Multi-Harmonic Vibrations of Bladed Disks

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

Imperial College of Science, Technology and Medicine, Center of Vibration Engineering, Mechanical Engineering Department, London SW7 2BX, UK

J. Turbomach 125(2), 364-371 (Apr 23, 2003) (8 pages) doi:10.1115/1.1539868 History: Received January 22, 2002; Online April 23, 2003
Copyright © 2003 by ASME
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References

Tworzydlo,  W. W., Cecot,  W., Oden,  J. T., and Yew,  C. H., 1998, “Computational Micro- and Macroscopic Models of Contact and Friction: Formulation, Approach and Applications,” Wear, 220, pp. 113–140.
Griffin,  J. H., 1990, “A Review of Friction Damping of Turbine Blade Vibration,” Int. J. Turbo and Jet Engines, No. 7, pp. 297–307.
Cardona,  A., Coune,  T., Lerusse,  A., and Geradin,  M., 1994, “A Multiharmonic Method for Non-Linear Vibration Analysis,” Int. J. Numer. Methods Eng., 37, pp. 1593–1608.
Griffin,  J. H., 1980, “Friction Damping of Resonant Stresses in Gas Turbine Engine Airfoils,” ASME J. Eng. Power, 102, pp. 329–333.
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.
Sextro, W., 1996, “The Calculation of the Forced Response of Shrouded Blades with Friction Contacts and Its Experimental Verification,” Proc., 2nd European Nonlinear Oscillation Conference, Prague, September pp. 9–13.
Csaba, Gabor, “Modelling of a Microslip Friction Damper Subjected to Translation and Rotation,” ASME Paper No. 99-GT-149.
Pierre,  C., Ferri,  A. A., and Dowell,  E. H., 1985, “Multi-Harmonic Analysis of Dry Friction Damped Systems Using an Incremental Harmonic Balance Method,” ASME J. Appl. Mech., 52, pp. 958–964.
Cameron,  T. M., and Griffin,  J. H., 1989, “An Alternating Frequency/Time Domain Method for Calculating Steady Response of Nonlinear Dynamic Systems,” ASME J. Appl. Mech., 56, pp. 149–154.
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.
Yang,  B. D., Chu,  M. I., and Menq,  C. H., 1998, “Stick-Slip-Separation Analysis and Non-Linear Stiffness and Damping Characterization of Friction Contacts Having Variable Normal Load,” J. Sound Vib., 210(4), pp. 461–481.
Chen, J. J., and Menq, C. H., 1999, “Prediction of Periodic Response of Blades Having 3-D Nonlinear Shroud Constraints,” ASME Paper 99-GT-289, pp. 1–9.

Figures

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Friction interface element
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Forced response for different gap values
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Influence of stiffness coefficient, ky, on forced response for different gap values: (a) g=5; (b) g=0; (c) g=−5
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Forced response for different values of static component in the variable normal load
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Forced response of the system with friction damper for different amplitudes of the normal load variation
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Amplitudes of harmonic components of the multiharmonic motion (case of fy=300+400 cos τ)
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Illustration of the computational efficiency
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Forced response of 2DOF system with the friction damper
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Finite element model of a sector of a high-pressure turbine-bladed disk and nodes of friction contact
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Natural frequencies of the bladed disk analyzed
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Forced response of the high-pressure turbine-bladed disk with a friction damper (solid line) and without a friction damper (dashed line) for different numbers of engine orders

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