Characterization of periodic motions in aircraft lateral dynamics

Journal of Guidance, Control, and Dynamics

Volumn 19, Issue 3, 1996, Pages 680-685

  Ananthkrishnan, N ^a   Sudhakar, K ^a,b  

^a INDIAN INSTITUTE OF TECHNOLOGY BOMBAY   (India)

^b AIAA ^*

Author keywords

[No Author keywords available]

Indexed keywords

AERODYNAMIC LOADS; AIRCRAFT; ALGORITHMS; BIFURCATION (MATHEMATICS); MATHEMATICAL MODELS; NONLINEAR EQUATIONS; OSCILLATIONS; RESONANCE; SYSTEM STABILITY;

AIRCRAFT LATERAL DYNAMICS; LIMIT CYCLES; PERIODIC MOTIONS; WING ROCK;

FLIGHT DYNAMICS;

EID: 0030150964     PISSN: 07315090     EISSN: 15333884     Source Type: Journal    
DOI: 10.2514/3.21674     Document Type: Article

References (24)

1. Planeaux, J. B., and Barth, T. J., "High-Angle-of-Attack Dynamic Behavior of a Model High-Performance Fighter Aircraft," AIAA Paper 88-4368, 1988.
2. Planeaux, J. B., Beck, J. A., and Baumann, D. D., "Bifurcation Analysis of a Model Fighter Aircraft with Control Augmentation," AIAA Paper 90-2836, 1990.
3. Ross, A. J., "Investigation of Nonlinear Motion Experienced on a Slender-Wing Research Aircraft," Journal of Aircraft, Vol. 9, No. 9, 1972, pp. 625-631.
4. Ross, A. J., "Lateral Stability at High Angles of Attack, Particularly Wing Rock," Paper 10, AGARD CP 260, Sept. 1978.
5. Padfield, G. D., "Nonlinear Oscillations at High Incidence," AGARD CP 235, Paper 31, May 1978.
6. Ananthkrishnan, N., and Sudhakar, K., "Prediction of Aircraft Wing Rock Using Describing Function Analysis," Journal of the Aeronautical Society of India, Vol. 46, No. 1, 1994, pp. 25-29.
7. Liebst, B. S., and Nolan, R. C., "Method for the Prediction of the Onset of Wing Rock," Journal of Aircraft, Vol. 31, No. 6, 1994, pp. 1419-1421.
8. Hsu, C.-H., and Lan, C. E., "Theory of Wing Rock," Journal of Aircraft, Vol. 22, No. 10, 1985, pp. 920-924.
9. Ericsson, L. E., "Slender Wing Rock Revisited," Journal of Aircraft, Vol. 30, No. 3, 1993, pp. 352-356.
10. Ericsson, L. E., and Hanff, E. S., "Further Analysis of High-Rate Rolling Experiments of a 65-Deg Delta Wing," Journal of Aircraft, Vol. 31, No. 6, 1994, pp. 1350-1357.
11. Elzebda, J. M., Nayfeh, A. H., and Mook, D. T., "Development of an Analytical Model of Wing Rock for Slender Delta Wings," Journal of Aircraft, Vol. 26, No. 8, 1989, pp. 737-743.
12. Nayfeh, A. H., Elzebda, J. M., and Mook, D. T., "Analytical Study of the Subsonic Wing-Rock Phenomenon for Slender Delta Wings," Journal of Aircraft, Vol. 26, No. 9, 1989, pp. 805-809.
13. Carroll, J. V., and Mehra, R. K., "Bifurcation Analysis of Nonlinear Aircraft Dynamics," Journal of Guidance, Control, and Dynamics, Vol. 5, No. 5, 1982, pp. 529-536.
14. Zagaynov, G. I., and Goman, M. G., "Bifurcation Analysis of Critical Aircraft Flight Regimes," International Council of the Aeronautical Sciences, ICAS-84-4.2.1, Sept. 1994, pp. 217-223.
15. Jahnke, C., and Culick, F. E. C., "Application of Bifurcation Theory to the High-Angle-of-Attack Dynamics of the F-14," Journal of Aircraft, Vol. 31, No. 1, 1994, pp. 26-34.
16. Cochran, J. E., and Ho, C.-S., "Stability of Aircraft Motion in Critical Cases," Journal of Guidance, Control, and Dynamics, Vol. 6, No. 4, 1983, pp. 272-279.
17. Holodniok, M., and Kubicek, M., "DERPER - An Algorithm for the Continuation of Periodic Solutions in Ordinary Differential Equations," Journal of Computational Physics, Vol. 55, Aug. 1984, pp. 254-267.
18. Reithmeier, E., Periodic Solutions of Nonlinear Dynamical Systems, Springer-Verlag, Berlin, 1991.
19. Ananthkrishnan, N., "Continuation and Bifurcation Methods Applied to Nonlinear Problems in Flight Dynamics," Ph.D. Thesis, Aerospace Engineering Dept., Indian Inst. of Technology, Bombay, India, Feb. 1994.
20. Rheinboldt, W. C., Numerical Analysis of Parametrized Nonlinear Equations, Wiley, New York, 1986.
21. Schmidt, G., and Tondl, A., Nonlinear Vibrations, Cambridge Univ. Press, Cambridge, England, UK, 1986.
22. Nayfeh, A. H., and Mook, D. T., Nonlinear Oscillations, Wiley, New York, 1979.
23. Minorsky, N., Nonlinear Oscillations, Van Nostrand, New York, 1962.
24. Cartmell, M., Introduction to Linear, Parametric and Nonlinear Vibrations, Chapman and Hall, London, 1990.