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TECHNICAL PAPERS: Gas Turbines: Structures and Dynamics

Identification of Mistuning Characteristics of Bladed Disks From Free Response Data—Part I

[+] Author and Article Information
M. P. Mignolet, A. J. Rivas-Guerra

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

J. P. Delor

Vehicle Dynamics and Mechanisms, General Motors Corporation, 2000 Centerpoint Parkway, Pontiac, MI 48341-3147

J. Eng. Gas Turbines Power 123(2), 395-403 (Jun 09, 1999) (9 pages) doi:10.1115/1.1338949 History: Received May 04, 1999; Revised June 09, 1999
Copyright © 2001 by ASME
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References

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.
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.
Basu,  P., and Griffin,  J. H., 1986, “The Effect of Limiting Aerodynamic and Structural Coupling in Models of Mistuned Bladed Disk Vibration,” ASME J. Vib., Acoust., Stress, Reliab. Des., 108, pp. 132–139.
Lin,  C. C., and Mignolet,  M. P., 1996, “Effects of Damping and Damping Mistuning on the Forced Vibration Response of Bladed Disks,” J. Sound Vib., 193, pp. 525–543.
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 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.
Castanier,  M. P., Ottarson,  G., and Pierre,  C., 1997, “A Reduced Order Modeling Technique for Mistuned Bladed Disks,” ASME J. Vibr. Acoust., 119, pp. 439–447.
Yang,  M. T., and Griffin,  J. H., 1997, “A Reduced Order Approach for the Vibration of Mistuned Bladed Disk Assemblies,” ASME J. Eng. Gas Turbines Power, 119, pp. 161–167.
Mignolet,  M. P., Lin,  C. C., and LaBorde,  B. H., 2001, “A Novel Limit Distribution for the Analysis of Randomly Mistuned Bladed Disks,” ASME J. Eng. Gas Turb. Power, 123, pp. 388–394.
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., and Lin,  C. C., 1997, “Identification of Structural Parameters in Mistuned Bladed Disks,” ASME J. Vibr. Acoust., 119, pp. 428–438.
Benjamin, J. R., and Cornell, C. A., 1970, Probability, Statistics, and Decision for Civil Engineers, McGraw-Hill, New York.
Lutes, L. D., and Sarkani, S., 1997, Stochastic Analysis of Structural and Mechanical Vibrations, Prentice–Hall, Englewood Cliffs.
Rivas-Guerra, A. J., 1997, “Identification of Mistuning Characteristics in Reduced Order Models of Bladed Disks,” M.S. thesis, Arizona State University.
Delor, J. P., 1998, “Formulation and Assessment of Identification Strategies of Mistuned Bladed Disk Models from Free Response Data,” M.S. thesis, Arizona State University.
Thomas,  D. L., 1979, “Dynamics of Rotationally Periodic Structures,” Int. J. Numer. Methods Eng., 14, pp. 81–102.

Figures

Grahic Jump Location
Two-degree-of-freedom per blade disk models
Grahic Jump Location
Single-degree-of-freedom per blade disk model
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Errors (a) in the mean and (b) in the standard deviation of the maximum amplitude of resonant response of the blade. ML, RMS, and IRMS approaches, single-degree-of-freedom blade model excited at the tuned natural frequency corresponding to the rth engine order, ωrt.
Grahic Jump Location
Probability density function of the amplitude of the highest responding blade. Original parameters, estimated by ML, RMS, and IRMS approaches, single-degree-of-freedom blade model excited at the tuned natural frequency corresponding to the ninth engine order, ω9t.
Grahic Jump Location
Errors (a) in the mean and (b) in the standard deviation of the maximum response of the mass m2. ML, ML with first mode fixed (mf), RMS and IRMS strategies, two-degree-of-freedom blade model 1 excited at the lowest tuned natural frequency corresponding to the rth engine order, ωr,1t.
Grahic Jump Location
Probability density function of the maximum amplitude of response of the mass m2. Original parameters, estimated by ML, RMS, an IRMS approaches two-degree-of-freedom blade model 1 excited at the lowest tuned natural frequency corresponding to the ninth engine order, ω9,1t.
Grahic Jump Location
Probability density function of the maximum amplitude of response of the mass m2. Original parameters, estimated by ML and RMS approaches, two-degree-of-freedom blade model 1 excited in a ninth engine order excitation in a frequency sweep around the corresponding lowest tuned frequency, ω∊⌊0.95ω9,1t,1.05ω9,1t⌋.

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