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TECHNICAL PAPERS

Effects of the Nature of Excitation on the Response of a Mistuned Bladed Disk Assembly

[+] Author and Article Information
D. Cha, A. Sinha

Department of Mechanical Engineering, The Pennsylvania State University, University Park, PA 16802

J. Turbomach 124(4), 588-596 (Nov 07, 2002) (9 pages) doi:10.1115/1.1508385 History: Received March 04, 2002; Online November 07, 2002
Copyright © 2002 by ASME
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References

Sogliero,  G., and Srinivasan,  A. V., 1980, “Fatigue Life Estimates of Mistuned Blades Via a Stochastic Approach,” AIAA J., 18(3), pp. 318–323.
Griffin,  J. H., and Hoosac,  T. M., 1984, “Model Development and Statistical Investigation of Turbine Blade Mistuning,” ASME J. Vib., Acoust., Stress, Reliab. Des., 106, pp. 204–210.
Sinha,  A., 1986, “Calculating the Statistics of Forced Response of a Mistuned Bladed Disk Assembly,” AIAA J., 24(11), pp. 1797–1801.
Sinha,  A., and Chen,  S., 1989, “A Higher-Order Technique to Calculate the Statistics of Forced Response of a Mistuned Bladed Disk Assembly,” J. Sound Vib., 130(2), pp. 207–221.
Wei,  S.-T., and Pierre,  C., 1988, “Localization Phenomena in Mistuned Assemblies With Cyclic Symmetry—Part I: Free Vibration, Part II: Forced Vibration,” ASME J. Vib., Acoust., Stress, Reliab. Des., 110, pp. 429–449.
Lin,  C.-C., and Mignolet,  M. P., 1997, “An Adaptive Perturbation Scheme for the Analysis of Mistuned Bladed Disks,” ASME J. Eng. Gas Turbines Power, 119, pp. 153–160.
Whitehead,  D. S., 1998, “The Maximum Factor by Which Forced Vibration of Blades Can Increase Due to Mistuning,” ASME J. Eng. Gas Turbines Power, 120, pp. 115–119.
Cha, D., and Sinha, A., 1998, “Statistics of Response of a Mistuned Bladed Disk Assembly Subjected to White Noise and Narrow Band Excitation,” ASME Paper, 98-GT-379.
Whitehead, D. S., 1960, “The Analysis of Blade Vibration Due to Random Excitation,” Reports and Memoranda No. 3253, Cambridge Univ.
Haupt,  U., Rautenberg,  M., and Abdel-Hamid,  A. N., 1988, “Blade Excitation by Broad-Band Pressure Fluctuations in a Centrifugal Compressor,” ASME J. Turbomach., 110, pp. 129–137.
Minkiewicz, G., and Russler, P., 1997, “Dynamic Response of Low Aspect Ratio Blades in a Two Stage Transonic Compressor,” 33rd AIAA/ASME/SAE/ASEE/SME Joint Propulsion Conference and Exhibit, AIAA paper 97-3284.
Sanders, A. J., and Fleeter, S., 1997, “Variability of Rotor Wake Interactions and Airfoil Unsteady Aerodynamics,” Proc., ASME Aerospace Division, AD-Vol. 55, pp. 411–418.
Papoulis, A., 1966, Probability, Random Variables and Stochastic Processes, McGraw-Hill, New York, NY.
Sinha,  A., 1990, “Friction Damping of Random Vibration in Gas Turbine Engine Airfoils,” Int. J Turbo Jet Engines, 7, pp. 95–102.
MATLAB Manual, 1995 The MathWorks, Inc., MA.
Griffin,  J. H., and Sinha,  A., 1985, “The Interaction Between Mistuning and Friction in the Forced Response of Bladed Disk Assemblies,” ASME J. Eng. Gas Turbines Power, 107, pp. 205–211.
Huang,  W-H., 1981, “Free and Forced Vibration of Closely Coupled Turbomachinery Blades,” AIAA J., 19(7), pp. 918–924.
Cha, D., 1999, “Statistics of Response of a Mistuned and Frictionally Damped Bladed Disk Assembly Subjected to Random Excitation,” Ph.D. thesis, The Pennsylvania State University, University Park, PA.

Figures

Grahic Jump Location
Model of a bladed disk assembly
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(a) μRa as a function of ω, (b) σRaRa as a function of ω; (sinusoidal excitations with unknown amplitudes)
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(a) μR as a function of ωF, (b) σRR as a function of ωF; (correlated excitation, pattern 0)
Grahic Jump Location
(a) μR as a function of ωF, (b) σRR as a function of ωF; (correlated excitation, pattern 3)
Grahic Jump Location
The correlations of narrow-band excitation (a) case 1, (b) case 2, (c) case 3
Grahic Jump Location
(a) μR as a function of ωF, (b) σRR as a function of ωF; (uncorrelated excitations)
Grahic Jump Location
(a) μR as a function of ωF, (b) σRR as a function of ωF; (correlated excitations, case 1)
Grahic Jump Location
(a) μR as a function of ωF, (b) σRR as a function of ωF; (correlated excitations, case 2)
Grahic Jump Location
(a) μR as a function of ωF, (b) σRR as a function of ωF; (correlated excitations, case 3)
Grahic Jump Location
E[gẋT] as a function of ωF; (a) uncorrelated excitation, (b) correlated excitation, pattern 3

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