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TECHNICAL PAPERS: Gas Turbines: Structures and Dynamics

A Novel Limit Distribution for the Analysis of Randomly Mistuned Bladed Disks

[+] Author and Article Information
M. P. Mignolet, B. H. LaBorde

Department of Mechanical and Aerospace Engineering, Arizona State University, Tempe, AZ 85287-6106

C.-C. Lin

Department of Mechanical Engineering, Chungchou Institute of Technology, Yuanlin, Changhua Hsien, Taiwan, R.O.C

J. Eng. Gas Turbines Power 123(2), 388-394 (Jun 09, 2000) (7 pages) doi:10.1115/1.1339001 History: Received May 04, 2000; Revised June 09, 2000
Copyright © 2001 by ASME
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References

Whitehead,  D. S., 1966, “Effect of Mistuning on the Vibration of Turbomachines Blades Induced by Wakes,” J. Mech. Eng. Sci., 8, pp. 15–21.
Ewins,  D. J., 1969, “The Effects of Detuning Upon the Forced Vibrations of Bladed Disks,” J. Sound Vib., 9, pp. 65–79.
Huang,  W.-H., 1982, “Vibration of Some Structures with Periodic Random Parameters,” AIAA J., 20, pp. 1001–1008.
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.
Kielb,  R. E., and Kaza,  K. R. V., 1984, “Effects of Structural Coupling on Mistuned Cascade Flutter and Response,” ASME J. Eng. Gas Turbines Power, 106, pp. 17–24.
Kaza,  K. R. V., and Kielb,  R. E., 1985, “Vibration and Flutter of Mistuned Bladed-Disk Assemblies,” J. Propul., 1, pp. 336–344.
Basu,  P., and Griffin,  J. H., 1986, “The Effects of Limiting Aerodynamic and Structural Coupling in Models of Mistuned Bladed Disk Vibration,” ASME J. Vib., Acoust., Stress, Reliab. Des., 108, pp. 132–139.
Sinha,  A., 1986, “Calculating the Statistics of Forced Response of a Mistuned Bladed Disk Assembly,” AIAA J., 24, pp. 1797–1801.
Wei,  S.-T., and Pierre,  C., 1988, “Localization Phenomena in Mistuned Assemblies with Cyclic Symmetry. Part I. Free Vibrations,” ASME J. Vib., Acoust., Stress, Reliab. Des., 110, pp. 429–438.
Wei,  S.-T., and Pierre,  C., 1988, “Localization Phenomena in Mistuned Assemblies with Cyclic Symmetry. Part II. Forced Vibrations,” ASME J. Vib., Acoust., Stress, Reliab. Des., 110, pp. 439–449.
Sinha,  A., and Chen,  S., 1989, “A Higher Order Technique to Compute the Statistics of Forced Response of a Mistuned Bladed Disk,” J. Sound Vib., 130, pp. 207–221.
Mignolet,  M. P., and Lin,  C. C., 1993, “The Combined Closed Form-Perturbation Approach to the Analysis of Mistuned Bladed Disks,” ASME J. Turbomach., 115, pp. 771–780.
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.
Mignolet,  M. P., and Hu,  W., 1998, “Direct Prediction of the Effects of Mistuning on the Forced Response of Bladed Disks,” ASME J. Eng. Gas Turbines Power, 120, pp. 626–634.
Mignolet,  M. P., Hu,  W., and Jadic,  I., 2000, “On the Forced Response of Harmonically and Partially Mistuned Bladed Disks. II. Partial Mistuning and Applications,” Int. J. Rotating Mach., 6, pp. 43–56.
Papoulis, A., 1984, Probability, Random Variables, and Stochastic Processes, McGraw-Hill, New York.
Lin, C. C., 1994, “Forced Response of Mistuned Bladed Disks: Identification and Prediction,” Ph.D. Dissertation, Arizona State University.

Figures

Grahic Jump Location
One DOF per blade bladed disk model
Grahic Jump Location
Probability density functions of blade response, Gaussian and uniform distributions of stiffnesses, N=24,r=3, large coupling case. Monte Carlo (MC) simulations and limit distribution (LMT), Eq. (36).
Grahic Jump Location
Probability density functions of blade response, Gaussian and uniform distributions of stiffnesses, N=24,r=3, small coupling case. Monte Carlo (MC) simulations and limit distribution (LMT), Eq. (36).
Grahic Jump Location
Probability density functions of blade response, Gaussian distribution of stiffnesses, N=24,r=0, large coupling case. Monte Carlo (MC) simulations and limit distribution (LMT), Eq. (36).
Grahic Jump Location
Probability density functions of blade response, Gaussian distribution of stiffnesses, N=24,r=0, small coupling case. Monte Carlo (MC) simulations and limit distribution (LMT), Eq. (36).
Grahic Jump Location
Probability density function of blade response, Gaussian distribution of stiffnesses, nonconforming case, worst matching in the weak-to-strong coupling transition. Monte Carlo (MC) simulations and limit distribution (LMT), Eq. (36).
Grahic Jump Location
Three DOF per blade bladed disk model
Grahic Jump Location
Probability density function of response of DOF 1, Gaussian distribution of stiffnesses, N=72,r=9, 3 DOF model. Monte Carlo (MC) simulation and limit distribution (LMT), Eq. (36).
Grahic Jump Location
Probability density function of blade response, Gaussian distribution of stiffnesses, nonconforming case, c=0.7215 Ns/m, small coupling case. Monte Carlo (MC) simulations and limit distribution (LMT), Eq. (36).

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