TECHNICAL PAPERS: Gas Turbines: Structures and Dynamics

Application of Model Order Reduction to Compressor Aeroelastic Models

[+] Author and Article Information
K. Willcox, J. Peraire, J. D. Paduano

Gas Turbine Laboratory, Department of Aeronautics and Astronautics, Massachusetts Institute of Technology, Cambridge, MA 02139

J. Eng. Gas Turbines Power 124(2), 332-339 (Mar 26, 2002) (8 pages) doi:10.1115/1.1416152 History: Received November 01, 1999; Revised February 01, 2000; Online March 26, 2002
Copyright © 2002 by ASME
Your Session has timed out. Please sign back in to continue.


Chiang,  H. D., and Kielb,  R. E., 1993 “An Analysis System for Blade Forced Response,” ASME J. Turbomach., 115, pp. 762–770.
Hall, K., and Silkowski, P., 1995 “The Influence of Neighboring Blade Rows on the Unsteady Aerodynamic Response of Cascades.” ASME Paper 95-GT-35.
Manwaring,  S. R., and Wisler,  D. C., 1993, “Unsteady Aerodynamics and Gust Response in Compressors and Turbines,” ASME J. Turbomach., 115, pp. 724–740.
Crawley,  E., and Hall,  K., 1985 “Optimization and Mechanisms of Mistuning in Cascades,” ASME J. Eng. Gas Turbines Power, 107, pp. 418–426.
Dugundji,  J., and Bundas,  D., 1984 “Flutter and Forced Response of Mistuned Rotors Using Standing Wave Analysis,” AIAA J., 22, No. 11, pp. 1652–1661.
Crawley, E., 1988, “Aeroelastic Formulation for Tuned and Mistuned Rotors,” AGARD Manual on Aeroelasticity in Axial-Flow Turbomachines, Vol. 2. AGARD-AG-298.
Dowell, E., Hall, K., Thomas, J., Florea, R., Epureanu, B., and Heeg, J., 1999, “Reduced Order Models in Unsteady Aerodynamics,” AIAA Paper 99–1261.
Willcox, K., Paduano, J., Peraire, J., and Hall, K., 1999, “Low Order Aerodynamic Models for Aeroelastic Control of Turbomachines.” AIAA Paper 99-1467.
Willcox,  K., Peraire,  J., and White,  J., 1999, “An Arnoldi Approach for Generation of Reduced-Order Models for Turbomachinery,” Comput. Fluids, 31(3), pp. 369–389.
Willcox, K. E., 2000 “Reduced-Order Aerodynamic Models for Aeroelastic Control of Turbomachines,” Ph.D. thesis, Department of Aeronautics and Astronautics, MIT.
Youngren, H., 1991 “Analysis and Design of Transonic Cascades with Splitter Vanes,” Master’s thesis, Department of Aeronautics and Astronautics, M.I.T.
Schreiber,  H., and Starken,  H., 1984 “Experimental Investigation of a Transonic Compressor Rotor Blade Section,” ASME J. Eng. Gas Turbines Power, 106, pp. 288–294.
Silkowski, P., 1995 “Measurements of Rotor Stalling in a Matched and Mismatched Compressor.” GTL Report 221, M.I.T.
Sirovich,  L., 1987 “Turbulence and the Dynamics of Coherent Structures, Part 1: Coherent Structures,” Q. Appl. Math., 45, No. 3, pp 561–571.
Berkooz,  G., Holmes,  P., and Lumley,  J., 1993, “The Proper Orthogonal Decomposition in the Analysis of Turbulent Flows,” Annu. Rev. Fluid Mech., 25, pp. 539–575.
Feldmann,  P., and Freund,  R., 1995, “Efficient Linear Circuit Analysis by Padé Approximation via the Lanczos Process,” IEEE Trans. Comput.-Aided Des., 14, pp. 639–649.
Grimme, E., 1997, “Krylov Projection Methods for Model Reduction,” Ph.D. thesis, Coordinated-Science Laboratory, University of Illinois at Urbana-Champaign.
Romanowski, M., and Dowell, E., 1994 “Using Eigenmodes to Form an Efficient Euler Based Unsteady Aerodynamics Analysis,” Proceedings of the Special Symposium on Aeroelasticity and Fluid/Structure Interaction Problems, Vol. AD-Vol. 44, ASME, New York, pp. 147–160.


Grahic Jump Location
DFVLR transonic rotor from Youngren 11 and steady pressure coefficient profile computation compared to data from Schreiber and Starken 12
Grahic Jump Location
Low-speed airfoil cross sections from Silkowski 13, shown for one quarter of the computational domain used for stage analysis. Arrows represent the characteristics waves: entropy wave (s), vorticity wave (ζ), and downstream and upstream running pressure waves (P+ and P−).
Grahic Jump Location
Unsteady aerodynamic plunge force on the DFVLR transonic rotor, computed at several reduced frequencies (symbols) and plotted against reduced-order model results (solid lines). Dashed lines show assumed frequency predictions, which are constant with frequency.
Grahic Jump Location
Comparison of eigenvalues obtained using reduced-order model and assumed-frequency method
Grahic Jump Location
Comparison of damping and frequency of eigenvalues obtained using reduced-order model and assumed-frequency method
Grahic Jump Location
Displacement response of the transonic rotor to excitation over a broad range of reduced frequencies
Grahic Jump Location
Aerodynamic force on blade 1 of the low-speed rotor due to a prescribed pulse input on its plunge displacement. Blades are considered rigid for this run.
Grahic Jump Location
Force on every blade of low-speed rotor due to an initial displacement of the coupled system. The structure and aerodynamics are coupled in this run. Solid—with stator, dashed—no stator.
Grahic Jump Location
Eigenvalues of the low-speed rotor. Eigenvalues are numbered by their nodal diameter (σ=2π1/16).




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