0
TECHNICAL PAPERS: Gas Turbines: Structures and Dynamics

Component-Mode-Based Reduced Order Modeling Techniques for Mistuned Bladed Disks—Part I: Theoretical Models

[+] Author and Article Information
R. Bladh, M. P. Castanier, C. Pierre

Department of Mechanical Engineering, The University of Michigan, Ann Arbor, MI 48109-2125

J. Eng. Gas Turbines Power 123(1), 89-99 (Apr 02, 2000) (11 pages) doi:10.1115/1.1338947 History: Received January 14, 2000; Revised April 02, 2000
Copyright © 2001 by ASME
Topics: Disks , Blades , Modeling , Stiffness
Your Session has timed out. Please sign back in to continue.

References

Wagner,  J. T., 1967, “Coupling of Turbomachine Blade Vibrations Through the Rotor,” ASME J. Eng. Power, 89, pp. 502–512.
Dye,  R. C. F., and Henry,  T. A., 1969, “Vibration Amplitudes of Compressor Blades Resulting From Scatter in Blade Natural Frequencies,” ASME J. Eng. Power, 91, pp. 182–188.
Ewins,  D. J., 1969, “The Effects of Detuning Upon the Forced Vibrations of Bladed Disks,” J. Sound Vib., 9, pp. 65–79.
Ewins,  D. J., 1973, “Vibration Characteristics of Bladed Disc Assemblies,” J. Mech. Eng. Sci., 15, pp. 165–186.
El-Bayoumy,  L. E., and Srinivasan,  A. V., 1975, “Influence of Mistuning on Rotor-blade Vibrations,” AIAA J., 13, pp. 460–464.
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.
Wei,  S. T., and Pierre,  C., 1988, “Localization Phenomena in Mistuned Assemblies with Cyclic Symmetry. I. Free Vibrations,” ASME J. Vib., Acoust., Stress, Reliab. Des., 110, pp. 429–438.
Wei,  S. T., and Pierre,  C., 1988, “Localization Phenomena in Mistuned Assemblies with Cyclic Symmetry. II. Forced Vibrations,” ASME J. Vib., Acoust., Stress, Reliab. Des., 110, pp. 439–449.
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.
Srinivasan,  A. V., 1997, “Flutter and Resonant Vibration Characteristics of Engine Blades,” ASME J. Eng. Gas Turbines Power, 119, pp. 742–775.
Irretier, H., 1983, “Spectral Analysis of Mistuned Bladed Disk Assemblies by Component Mode Synthesis,” Vibrations of Bladed Disk Assemblies, ASME, New York, pp. 115–125.
Kruse, M. J., and Pierre, C., 1996, “Forced Response of Mistuned Bladed Disks Using Reduced-Order Modeling,” Proc. 37th AIAA/ASME/ASCE/AHS Structures, Structural Dynamics, and Materials Conference, Vol. 4, AIAA, New York, pp. 1938–1950.
Kruse, M. J., and Pierre, C., 1996, “Dynamic Response of an Industrial Turbomachinery Rotor,” Proc. 32nd AIAA/ASME/SAE/ASEE Joint Propulsion Conference and Exhibit, AIAA, New York.
Castanier,  M. P., Óttarsson,  G., and Pierre,  C., 1997, “A Reduced-Order Modeling Technique for Mistuned Bladed Disks,” ASME J. Vibr. Acoust., 119, pp. 439–447.
Bladh,  R., Castanier,  M. P., and Pierre,  C., 1999, “Reduced Order Modeling and Vibration Analysis of Mistuned Bladed Disk Assemblies with Shrouds,” ASME J. Eng. Gas Turbines Power, 121, pp. 515–522.
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., 1999, “A Reduced Order Model of Mistuning Using a Subset of Nominal System Modes,” Proc. 44th ASME Gas Turbine and Aeroengine Technical Congress, Exposition and Users Symposium, ASME, New York.
Craig,  R. R., and Bampton,  M. C. C., 1968, “Coupling of Substructures for Dynamics Analyses,” AIAA J., 6, pp. 1313–1319.
Joseph, J. A., 1981, “Cyclic Symmetry in MSC/NASTRAN ,” MSC/NASTRAN Application Manual, The MacNeal-Schwendler Corporation, Los Angeles, CA, Chapter 3.2, pp. 10–24.
Fortescue,  C. L., 1918, “Method of Symmetrical Co-ordinates Applied to the Solution of Polyphase Networks,” Trans. Am. Inst. Electr. Eng., 37, pp. 1027–1115.
Craig, R. R., 1981, Structural Dynamics, An Introduction to Computer Methods, John Wiley and Sons, New York.
Craig,  R. R., 1995, “Substructure Methods in Vibration,” ASME J. Mech. Des., 117, pp. 207–213.
Tan, Y.-C., Castanier, M. P., and Pierre, C., 1999, “Modal Approximations of Power Flow Between Coupled Component Structures,” Proc. Sixth International Congress on Sound and Vibration, Copenhagen, Denmark, Vol. 5, pp. 2315–2322.
Strang, G., 1988, Linear Algebra and Its Applications, 3rd Ed., Saunders, Philadelphia, PA.
Davis, P. J., 1979, Circulant Matrices, John Wiley and Sons, New York.

Figures

Grahic Jump Location
Substructuring approach and Index notation
Grahic Jump Location
Craig–Bampton component modes: (a) fixed-interface normal modes of vibration; (b) static constraint modes due to successive unit deflections of interface DOF
Grahic Jump Location
REDUCE component modes: (a) fixed-interface (cantilevered) normal blade modes; (b) cyclic modes for the fundamental disk–blade sector with a massless blade
Grahic Jump Location
Required number of floating point operations (flops) as a function of matrix size for generalized eigensolution, matrix multiplication, and matrix inversion. Note the slight “bumps” due to the iterative nature of the eigensolution.
Grahic Jump Location
Comparison of estimated cumulative numbers of floating point operations during statistical analyses, including the model setup cost
Grahic Jump Location
Comparison of estimated cumulative numbers of floating point operations during statistical analyses, disregarding the model setup cost

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