0
TECHNICAL PAPERS

Maximum Amplification of Blade Response due to Mistuning: Localization and Mode Shape Aspects of the Worst Disks

[+] Author and Article Information
Alejandro J. Rivas-Guerra, Marc P. Mignolet

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

J. Turbomach 125(3), 442-454 (Aug 27, 2003) (13 pages) doi:10.1115/1.1506958 History: Received March 04, 2002; Online August 27, 2003
Copyright © 2003 by ASME
Your Session has timed out. Please sign back in to continue.

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., 1969, “The Effects of Detuning Upon the Forced Vibrations of Bladed Disks,” J. Sound Vib., 9, pp. 65–79.
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.
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, No. 4, 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, No. 4, 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.
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.
Wei,  S.-T., and Pierre,  C., 1990, “Statistical Analysis of the Forced Response of Mistuned Cyclic Assemblies,” AIAA J., 28, No. 5, pp. 861–868.
Mignolet,  M. P., Hu,  W., and Jadic,  I., 1998, “On the Forced Response of Harmonically and Partially Mistuned Bladed Disks. Part I: Harmonic Mistuning,” Proc., ISROMAC-7 Symposium, Honolulu, Hawaii, Feb. 22–26, Vol. B, pp. 591–602; also, Int. J. Rotating Mach., 6 , No. 1, pp. 29–41, 2000.
Mignolet,  M. P., Hu,  W., and Jadic,  I., 1998, “On the Forced Response of Harmonically and Partially Mistuned Bladed Disks. Part II: Partial Mistuning and Applications,” Proc., ISROMAC-7 Symposium, Honolulu, Hawaii, Feb. 22–26, Vol. B, pp. 603–613; also, Int. J. Rotating Mach., 6 , No. 1, pp. 43–56, 2000.
Yang,  M.-T., and Griffin,  J. H., 2001, “A Reduced Order Model of Mistuning Using a Subset of Nominal System Modes,” ASME J. Eng. Gas Turbine Power, 123(4), pp. 893–900.
Petrov, E.P., Vitali, R., and Haftka, R., 2000, “Optimization of Mistuned Bladed Discs Using Gradient-Based Response Surface Approximations,” Proc., 41st AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference and Exhibit, Atlanta, GA, April, Paper AIAA-2000-1522.
Petrov, E., Sanliturk, K., Ewins, D. J., and Elliott, R., 2000, “Quantitative Prediction of the Effects of Mistuning Arrangement on Resonant Response of a Practical Turbine Bladed Disc,” 5th National Turbine Engine High Cycle Fatigue (HCF) Conference, Chandler, AZ, March 7–9.
Petrov, E. P., and Ewins, D. J., 2001, “Analysis of the Worst Mistuning Patterns in Bladed Disc Assemblies,” Presented at the Turbo Expo 2001, New Orleans, LA, Jun. 4–7, Paper 2001-GT-0292.
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 Technical Memorandum, No. 108833, pp. 1–13.
Whitehead,  D. S., 1976, “Effect of Mistuning on Forced Vibration of Blades with Mechanical Coupling,” J. Mech. Eng. Sci., 18, 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, pp. 115–119.
Sinha, A., 1997, “Computation of the Maximum Amplitude of a Mistuned Bladed Disk Assembly Via Infinity Norm,” Proc., ASME International Mechanical Engineering Congress and Exposition, Dallas, TX, November 16–21, AD-55 , pp. 427–432.
Kenyon, J. A., and Griffin, J. H., 2001, “Forced Response of Turbine Engine Bladed Disks and Sensitivity to Harmonic Mistuning,” presented at the Turbo Expo 2001, New Orleans, LA, June 4–7, Paper 2001-GT-0274.
Petrov, E. P., and Iglin, S. P., 1999, “Search of the Worst and Best Mistuning Patterns for Vibration Amplitudes of Bladed Disks by the Optimization Methods Using Sensitivity Coefficients,” Proc. 1st ASSMO UK Conference ‘Engineering Design Optimization’, July 8–9, Ilkley, UK, pp. 303–310.
Castanier,  M. P., Ottarson,  G., and Pierre,  C., 1997, “A Reduced Order Modeling Technique for Mistuned Bladed Disks,” J. Vibr. Acoust., 119, pp. 439–447.
Bladh,  R., Castanier,  M. P., and Pierre,  C., 2001, “Component-Mode-Based Reduced Order Modeling Techniques for Mistuned Bladed Disks—Part II: Application,” ASME J. Eng. Gas Turbines Power, 123 (1), pp. 100–108.
Choi,  B.-K., Lentz,  J., Rivas-Guera,  A. J., and Mignolet,  M. P., 2003, “Optimization of Intentional Mistuning Patterns for the Reduction of the Forced Response Effects of Unintentional Mistuning,” ASME J. Eng. Gas Turbines Power, 125(1), pp. 131–140.
Rivas-Guerra, A. J., and Mignolet, M. P., 2003, “Local/Global Effects of Mistuning on the Forced Response of Bladed Disks,” J. Eng. Gas Turbines Power, to be published.
Kenyon,  J. A., Griffin,  J. H., and Feiner,  D. M., 2002, “Maximum Bladed Disk Forced Response From Distortion of a Structural Mode,” ASME J. Turbomach., 125(2), pp. 352–363.

Figures

Grahic Jump Location
Single-degree-of-freedom per blade bladed disk model (all mj are equal)
Grahic Jump Location
Blisk example: (a) blisk view, (b) blade sector finite element mesh, and (c) natural frequency versus nodal diameter plot
Grahic Jump Location
Amplification factor as a function of |z0| for different engine orders r
Grahic Jump Location
Amplification factor as a function of the engine order r for different values of |z0|
Grahic Jump Location
Amplification factor for the three-blade partial mistuning with wall as a function of |z0|,r=6=N/4
Grahic Jump Location
Convergence of the two resonant mode shapes of the worst disk, as optimized by the localization-based approach, to those given by Eqs. (656667686970) as |z0|→1,r=3
Grahic Jump Location
Convergence of the parameter Δ for the two natural frequencies of the worst disk, as optimized by the localization based approach, to those given by Eq. (70) as |z0|→1,r=3
Grahic Jump Location
Amplification factor as a function of engine order r for |z0|=1 as computed by partial mistuning, perturbation, and a full optimization
Grahic Jump Location
Relative difference between the Whitehead upper limit and the amplification factors obtained for |z0|=1 and r=N/12 with the perturbation approach, a full optimization, and partial mistuning with five and seven-blade sectors (PM (5) and PM (7), N=24 only)
Grahic Jump Location
Optimum mistuning pattern, i.e., frequency deviations δj, Eq. (82), for the blisk of Fig. 2, case 1. The arrows indicate deviations out of the range shown, δ2=177.6,δ21=21.65, and δ24=−0.967.
Grahic Jump Location
Optimum mistuning pattern, i.e. frequency deviations δj, Eq. (82), for the blisk of Fig. 2, case 2. The arrow indicates a deviation out of the range shown, δ24=−0.179.
Grahic Jump Location
Resonant mode shapes of the worst disk for the blisk of Fig. 2, case 1.
Grahic Jump Location
Resonant mode shapes of the worst disk for the blisk of Fig. 2, case 2
Grahic Jump Location
Fourier transforms of the resonant mode shapes of the worst disks for the blisk of Fig. 2, (a) case 1, (b) case 2

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In