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TECHNICAL PAPERS: Gas Turbines: Structures and Dynamics

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

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

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), 404-411 (Jun 09, 1999) (8 pages) doi:10.1115/1.1338950 History: Received May 04, 1999; Revised June 09, 1999
Copyright © 2001 by ASME
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References

Collins,  J. D., and Thomson,  W. T., 1969, “The Eigenvalue Problem for Structural Systems With Statistical Properties,” AIAA J., 7, pp. 642–648.
Shinozuka,  M., and Astill,  C. J., 1972, “Random Eigenvalue Problems in Structural Analysis,” AIAA J., 10, pp. 456–462.
Vaicaitis,  R., 1974, “Free Vibrations of Beams with Random Characteristics,” J. Sound Vib., 35, pp. 13–21.
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.
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.
Wei,  S. T., and Pierre,  C., 1988, “Localization Phenomena in Mistuned Assemblies With Cyclic Symmetry—Part I: Free Vibrations,” ASME J. Vib. Acoust. Stress Reliability Design, 110, pp. 429–438.
Griffin, J. H., 1997, personal communication.
Kruse, M. J., and Pierre, C., 1997, “An Experimental Investigation of Vibration Localization in Bladed Disks. Part II. Forced Response,” Presented at the 42nd International Gas Turbine and Aeroengine Congress and Exposition, Orlando, FL, ASME Paper 97-GT-502.
Kaiser, T., Hansen, R. S., Nguyen, N., Hampton, R. W., Muzzio, D., Chargin, M. K., Guist, R., Hamm, K., and Walker, L., 1994, “Experimental/Analytical Approach to Understanding Mistuning in a Transonic Wind Tunnel Compressor,” NASA Tech. Memo., No. 108833, pp. 1–13.

Figures

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 2 excited at the lowest tuned natural frequency corresponding to the rth engine order, ωr,1t.
Grahic Jump Location
Errors in the mean and in the standard deviation of the maximum amplitude of resonant response of the blade as functions of the standard deviation of the target properties. Randomized ML strategy, single-degree-of-freedom blade model excited at the tuned natural frequency corresponding to the 12th engine order, ω12t.
Grahic Jump Location
Errors (a) in the mean and (b) in the standard deviation of the maximum response of the mass m2 as functions of the relative difference of frequencies. ML, RMS and IRMS strategies, two-degree-of-freedom blade model 2 excited at the lowest tuned natural frequency corresponding to the zeroth engine order, ω0,1t.
Grahic Jump Location
Probability density function of the amplitude of the highest responding blade. Original parameters, estimated by ML and RMS approaches, single-degree-of-freedom blade model excited at the tuned natural frequency corresponding to the ninth engine order ω9t, uniform distribution of blade parameters.
Grahic Jump Location
Probability density function of the amplitude of the highest responding blade. Original parameters, estimated by ML and RMS approaches, single-degree-of-freedom blade model excited at the tuned natural frequency corresponding to the ninth engine order ω9t, measurement noise of standard deviation=0.25 percent.
Grahic Jump Location
Probability density function of the ratio of the modal displacements of masses 1 and 2, low frequency mode. Original parameters, estimated by ML and RMS approaches, two-degree-of-freedom blade model 1.
Grahic Jump Location
Probability density function of the ratio of the modal displacements of masses 1 and 2, low frequency mode. Original parameters, estimated by ML and RMS approaches, two-degree-of-freedom blade model 2.

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