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TECHNICAL PAPERS: Gas Turbines: Structures and Dynamics

A Reduced-Order Model of Mistuning Using a Subset of Nominal System Modes

[+] Author and Article Information
M.-T. Yang, J. H. Griffin

Department of Mechanical Engineering, Carnegie Mellon University, Pittsburgh, PA 15213

J. Eng. Gas Turbines Power 123(4), 893-900 (Mar 01, 1999) (8 pages) doi:10.1115/1.1385197 History: Received October 01, 1998; Revised March 01, 1999
Copyright © 2001 by ASME
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References

Whitehead,  D. S., 1966, “Effect of Mistuning on the Vibration of Turbomachine Blades Induced by Wakes,” J. Mech. Eng. Sci., 8, pp. 15–21.
Ewins,  D. J., and Han,  Z. S., 1984, “Resonant Vibration Levels of a Mistuned Bladed Disk,” J. Sound Vib., 106, pp. 211–215.
Fabunmi,  J. A., 1980, “Forced Vibrations of a Single Stage Axial Compressor Rotor,” ASME J. Eng. Gas Turbines Power, 102, pp. 322–328.
Griffin,  J. H., and Hoosac,  T. M., 1984, “Model Development and Statistical Investigation of Turbine Blade Mistuning,” ASME J. Vibr. Acoust., 106, pp. 204–210.
Sinha,  A., and Chen,  S., 1989, “A Higher Order Technique to Compute the Statistics of Forced Response of a Mistuned Bladed Disk Assembly,” J. Sound Vib., 130, No. 2, pp. 207–221.
Wei,  S. T., and Pierre,  C., 1988, “Localization Phenomena in Mistuned Assemblies With Cyclic Symmetry, Part II: Forced Vibrations,” ASME J. Vibr. Acoust., 110, No. 4, pp. 429–438.
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.
Kruse, M. J., and Pierre, C., 1996, “Forced Response of Mistuned Bladed Disks Using Reduced-Order Modeling,” Proceedings of the AIAA/ASME/ASCE/AHS/ASC Structures Dynamics, and Materials Conference and Exhibit, Salt Lake City, UT, AIAA Paper No. A96-26801, AIAA, Reston, VA, pp. 1938–1950.
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.
Yang,  M.-T., and Griffin,  J. H., 1997, “A Normalized Modal Eigenvalue Approach for Resolving Modal Interaction,” ASME J. Eng. Gas Turbines Power, 119, pp. 647–650.
Crawley, E. F., 1988, “Aeroelastic Formulation for Tuned and Mistuned Rotors,” AGARD Manual on Aeroelasticity in Axial-Flow Turbomachines, Vol. 2, Structural Dynamics and Aeroelasticity, M. F. Platzer and F. O. Carta, eds., pp. 19-1–19-24.
Pidaparti,  R. M. V., and Afolabi,  D., 1996, “The Role of Eigenvectors in Aeroelastic Analysis,” J. Sound Vib., 193, No. 4, pp. 934–940.
Hall,  K. C., Florea,  R., and Lanzkron,  P. J., 1995, “A Reduced Order Model of Unsteady Flows in Turbomachinery,” ASME J. Turbomach., 117, pp. 375–383.

Figures

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Flow chart for the SNM algorithm
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Finite element model of bladed disk system
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Natural frequencies of tuned bladed disk
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Representative results for the first bending family of modes
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Representative modal results for the veering region
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Representative forced response amplitudes in the veering region

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