Efficient computation of robust flutter boundaries using the μ-k method

Journal of Aircraft

Volumn 43, Issue 6, 2006, Pages 1763-1769

  Borglund, Dan ^a,b,c   Ringertz, Ulf ^a,b,c  

^a ROYAL INSTITUTE OF TECHNOLOGY   (Sweden)

^b Division of Flight Dynamics   (Sweden)

^c AIAA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; COMPUTATIONAL METHODS; FREQUENCY DOMAIN ANALYSIS; LINEAR SYSTEMS; ROBUSTNESS (CONTROL SYSTEMS);

FLUTTER BOUNDARIES; FRACTIONAL TRANSFORMATION; ROBUST FLUTTER ANALYSIS; UNSTEADY AERODYNAMICS;

FLUTTER (AERODYNAMICS);

EID: 33846046340     PISSN: 00218669     EISSN: 15333868     Source Type: Journal    
DOI: 10.2514/1.20190     Document Type: Article

References (17)

1. Petit, C., "Uncertainty Quantification in Aeroelasticity: Recent Results and Research Challenges," Journal of Aircraft, Vol. 41, No. 5, 2004, pp. 1217-1229.
2. Lind, R., and Brenner, M., Robust Aeroservoelastic Stability Analysis, Springer-Verlag, London, 1999.
3. Lind, R., "Match-Point Solutions for Robust Flutter Analysis," Journal of Aircraft, Vol. 39, No. 1, 2002, pp. 91-99.
4. Borglund, D., "The μ-k Method for Robust Flutter Solutions," Journal of Aircraft, Vol. 41, No. 5, 2004, pp. 1209-1216.
5. Bäck, P., and Ringertz, U. T., "Convergence of Methods for Nonlinear Eigenvalue Problems," AIAA Journal, Vol. 35, No. 6, 1997, pp. 1084-1087.
6. Chen, P. C., "Damping Perturbation Method for Flutter Solution: the g-Method," AIAA Journal, Vol. 38, No. 9, 2000, pp. 1519-1524.
7. Borglund, D., "Upper-Bound Flutter Speed Estimation Using the μ-k Method," Journal of Aircraft, Vol. 42, No. 2, 2005, pp. 555-557.
8. Rodden, W. P., and Johnson, E. H., MSC/NASTRAN Aeroelastic Analysis User's Guide, Ver. 68, MacNeal-Schwendler, Los Angeles, CA, 1994.
9. ZAERO Programmer's Manual, Ver. 7.1, Zona Technology, Scottsdale, AZ, 2004.
10. Zhou, K., Doyle, J. C., and Glover, K., Robust and Optimal Control, Prentice Hall, Upper Saddle River, NJ, 1996, Chap. 10.
11. Kumar, A., and Balas, G. J., "An Approach to Model Validation in the μ Framework," Proceedings of the American Control Conference, Baltimore, MD, 1994, pp. 3021-3026.
12. Brenner, M., "Aeroservoelastic Model Uncertainty Bound Estimation from Flight Data," Journal of Guidance, Control and Dynamics, Vol. 25, No. 4, 2002, pp. 748-754.
13. Young, P., Newlin, M., and Doyle, J., "Practical Computation of the Mixed μ Problem," Proceedings of the American Control Conference, Vol. 3, Institute of Electrical and Electronics Engineers, Piscataway, NJ, 1992, pp. 2190-2194.
14. Gill, P. E., Murray, W., and Wright, M. H., Practical Optimization, Academic Press, London, 1981.
15. Chen, P. C., Sarhaddi, D., and Liu, D. D., "Limit-Cycle Oscillation Studies of a Fighter with External Stores,"AIAA Paper 98-1727, 1998.
16. ZAERO Applications Manual, Ver. 7.1, Zona Technology, Scottsdale, AZ, 2004, pp. 2-172-2-189.
17. Balas, G. J., Doyle, J. C., Glover, K., Packard, A., and Smith, R., μ-Analysis and Synthesis Toolbox User's Guide, MathWorks, Natick, MA, 1996, Chap. 4.