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TECHNICAL PAPERS

Maximum Bladed Disk Forced Response From Distortion of a Structural Mode

[+] Author and Article Information
J. A. Kenyon

Propulsion Directorate, Air Force Research Laboratory, Wright-Patterson AFB, OH 45433

J. H. Griffin, D. M. Feiner

Department of Mechanical Engineering, Carnegie Mellon University, Pittsburgh, PA 15213e-mail: dfein@andrew.cmu.edu

J. Turbomach 125(2), 352-363 (Apr 23, 2003) (12 pages) doi:10.1115/1.1540118 History: Received January 30, 2002; Online April 23, 2003
Copyright © 2003 by ASME
Topics: Damping , Disks , Blades
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References

Srinivasan,  A. V., 1997, “Flutter and Resonant Vibration Characteristics of Engine Blades,” ASME J. Eng. Gas Turbines Power, 119(4), pp. 742–775.
Kenyon, J. A., and Griffin, J. H., 2001, “Harmonic Mistuning of Turbine Engine Bladed Disks and Implications on Sensitivity to Forced Response,” ASME Paper 2001-GT-0274, International Gas Turbine Institute Turbo Expo, New Orleans, LA.
Kim,  M., Moon,  J., and Wickert,  J. A., 2000, “Spatial Modulation of Repeated Vibration Modes in Rotationally Periodic Structures,” J. Vibr. Acoust., 122, pp. 62–68.
Ewins,  D. J., 1969, “The Effects of Detuning Upon the Forced Vibrations of Bladed Disks,” J. Sound Vib., 9(1), pp. 65–79.
MacBain,  J. C., and Whaley,  P. W., 1984, “Maximum Resonant Response of Mistuned Bladed Disks,” ASME J. Vib., Acoust., Stress, Reliab. Des., 106, pp. 218–223.
Whitehead,  D. S., 1966, “Effect of Mistuning on the Vibration of Turbomachine Blades Induced by Wakes,” J. Mech. Eng. Sci., 8(1), pp. 15–21.
Whitehead,  D. S., 1976, “Research Note: Effect of Mistuning on Forced Vibration of Blades with Mechanical Coupling,” J. Mech. Eng. Sci., 18, 6, pp. 306–307.
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(1), pp. 115–119.
Mignolet,  M. P., Hu,  W., and Jadic,  I., 2000, “On the Forced Response of Harmonically and Partially Mistuned Bladed Disks. Part II: Partial Mistuning, and Applications” Int. J. Rotating Mach., 6(1), pp. 43–56.
Castanier,  M. P., Ottarsson,  G., and Pierre,  C., 1997, “A Reduced Order Modeling Technique for Mistuned Bladed Disks,” J. Vibr. Acoust., 119(3), pp. 439–447.
Kruse, M. J., and Pierre, C., 1996, “Forced Response of Mistuned Bladed Disks Using Reduced-Order Modeling,” Proc. 37th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference, Salt Lake City, UT, 4 , 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(1), pp. 161–167.
Yang, M.-T., and Griffin, J. H., 1999, “A Reduced Order Model of Mistuning Using a Subset of Nominal System Modes,” ASME Paper 99-GT-288, International Gas Turbine Institute Turbo Expo, Indianapolis, IN.
Bladh, R., Castanier, M. P., and Pierre, C., 2000a, “Component-Mode-Based Reduced Order Modeling Techniques for Mistuned Bladed Disks, Part I: Theoretical Models,” ASME Paper 2000-GT-0360, International Gas Turbine Institute Turbo Expo, Munich, Germany.
Bladh, R., Castanier, M. P., and Pierre, C., 2000b, “Component-Mode-Based Reduced Order Modeling Techniques for Mistuned Bladed Disks, Part II: Application,” ASME Paper 2000-GT-0361, International Gas Turbine Institute Turbo Expo, Munich, Germany.
Rivas-Guerra, A. J., and Mignolet, M. P., 2001, “Local/Global Effects of Mistuning on the Forced Response of Bladed Disks,” ASME Paper 2001-GT-0289, International Gas Turbine Institute Turbo Expo, New Orleans, LA.
Petrov, E. P., and Ewins, D. J., 2001, “Analysis of the Worst Mistuning Patterns in Bladed Disc Assemblies,” ASME Paper 2001-GT-0292, International Gas Turbine Institute Turbo Expo, New Orleans, LA.
Petrov, E., Sanliturk, K., Ewins, D., and Elliot, R., 2000, “Quantitative Prediction of the Effects of Mistuning Arrangement on Resonant Response of a Practical Turbine Bladed Disk,” Proc., 5th National Turbine Engine High Cycle Fatigue Conference, Chandler, AZ.
Rivas-Guerra, A. J., and Mignolet, M. P., 2001, “Maximum Amplification of Blade Response Due to Mistuning: a Localization-Based Optimization,” Proc., 6th National Turbine Engine High Cycle Fatigue Conference, Jacksonville, FL.
Sinha, A., 1997, “Computation of the Maximum Amplitude of a Mistuned Bladed Disk Assembly via Infinity Norm,” Proc., 1997 ASME International Mechanical Engineering Congress and Exposition, Dallas, TX, AD-55 , pp. 427–432.
Stange,  W. A., and MacBain,  J. C., 1983, “An Investigation of Dual Mode Phenomena in a Mistuned Bladed Disk,” ASME J. Vib., Acoust., Stress, Reliab. Des., 105, pp. 402–407.
Kenyon, J. A., 2002, “Robust Maximum Forced Response in Mistuned Turbine Engine Bladed Disks,” Ph.D. dissertation, Carnegie Mellon University.
Kruse, M. J., and Pierre, C., 1996, “Dynamic Response of an Industrial Turbomachinery Rotor,” AIAA Pap., 96-2820, 32nd AIAA/ASME/SAE/ASEE Joint Propulsion Conference and Exhibit, Lake Buena Vista, FL.

Figures

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Forced response using Whitehead formulation
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Comparison of mode shapes for maximum response
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Mass-spring-damper system
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Localization of mode for maximum response
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Forced response simulation of intentionally mistuned system
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Probability distribution of response for intentionally mistuned system
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Reduction in sensitivity for intentionally mistuned systems with simple damping

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