Analyzing mistuning of bladed disks by symmetry and reduced-order aerodynamic modeling

Journal of Propulsion and Power

Volumn 19, Issue 2, 2003, Pages 307-311

  Shapiro, B ^a   Willcox, K E ^b  

^a UNIVERSITY OF MARYLAND   (United States)

^b Massachusetts Institute of Technology   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

AERODYNAMICS; COMPUTATIONAL FLUID DYNAMICS; COMPUTER AIDED ANALYSIS; EIGENVALUES AND EIGENFUNCTIONS; MATHEMATICAL MODELS; OPTIMIZATION; PERTURBATION TECHNIQUES; TURBOMACHINE BLADES; VECTORS;

BLADED DISKS; MISTUNING; PROPER ORTHOGONAL DECOMPOSITION;

DISKS (MACHINE COMPONENTS);

EID: 0037358406     PISSN: 07484658     EISSN: 15333876     Source Type: Journal    
DOI: 10.2514/2.6112     Document Type: Article

References (12)

1. Shapiro, B., "Symmetry Approach to Extension of Flutter Boundaries via Mistuning," Journal of Propulsion and Power, Vol. 14, No. 3, May-June 1998, pp. 354-366.
2. Shapiro, B., "Solving for Mistuned Forced Response by Symmetry," Journal of Propulsion and Power, Vol. 15, No. 2, March-April 1999, pp. 310-325.
3. Willcox, K., Reduced-Order Aerodynamic Models for Aeroelastic Control of Turbomachines, Ph.D. Dissertation, Dept. of Aeronautics and Astronautics, MIT, Feb. 2000.
4. Sirovich, L., "Turbulence and the Dynamics of Coherent Structures. Part 1: Coherent Structures," Quarterly of Applied Mathematics, Vol. 45, No. 3, Oct. 1987, pp. 561-571.
5. Berkooz, G., Holmes, P., and Lumley, J., "The Proper Orthogonal Decomposition in the Analysis of Turbulent Flows," Annual Review of Fluid Mechanics, Vol. 25, 1993, pp. 539-575.
6. Dowell, E., and Hall, K., "Modeling of Fluid-Structure Interaction," Annual Review of Fluid Mechanics, Vol. 33, 2001, pp. 445-90.
7. Kim, T., "Frequency-Domain Karhunen-Loeve Method and Its Application to Linear Dynamic Systems," AIAA Journal, Vol. 36, No. 11, 1998, pp. 2117-2123.
8. Hall, K. C., Thomas, J. P., and Dowell, E. H., "Proper Orthogonal Decomposition Technique for Transonic Unsteady Aerodynamic Flows," AIAA Journal, Vol. 38, No. 10, 2000, pp. 1853-62.
9. Willcox, K., Paduano, J., Peraire, J., and Hall, K., "Low Order Aerodynamic Models for Aeroelastic Control of Turbomachines," AIAA Paper 99-1467, April 1999.
10. Dugundji, J., and Bundas, D., "Flutter and Forced Response of Mistuned Rotors Using Standing Wave Analysis, AIAA Journal, Vol. 22, No. 11, 1984, pp. 1652-61.
11. Al-Khayyal, F., Larsen, C., and Voorhis, T. V., "A Relaxation Method for Nonconvex Quadratically Constrained Quadratic Programs," Journal of Global Optimization, Vol. 6, No. 3, 1995, pp. 215-230.
12. Packard, A., and Doyle, J., "The Complex Structured Singular Value," Automatica, Vol. 29, No. 1, 1993, pp. 71-109.