Lead-lag damper robustness analysis for helicopter ground resonance

Journal of Guidance, Control, and Dynamics

Volumn 36, Issue 4, 2013, Pages 1150-1161

  Quaranta, Giuseppe ^a   Muscarello, Vincenzo ^a   Masarati, Pierangelo ^a  

^a POLITECNICO DI MILANO   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

MIMO SYSTEMS;

AEROELASTIC STABILITY; HELICOPTER GROUND RESONANCE; LINEAR AND NONLINEAR MODELS; MULTI-INPUT/MULTI-OUTPUT SYSTEMS; PARAMETER VARIABILITY; ROBUST STABILITY ANALYSIS; STABILITY REQUIREMENTS; STIFFNESS AND DAMPING;

STABILITY;

EID: 84880061910     PISSN: 07315090     EISSN: 15333884     Source Type: Journal    
DOI: 10.2514/1.57188     Document Type: Article

References (29)

1. Stiles, L. R., Mayo, J., Freisner, A. L., and Landis., K. H., Kothmann, B. D., '"Impossible to Resist' the Development of Rotorcraft Fly-By-Wire Technology," 60th American Helicopter Society Annual Forum, 2004.
2. Straub, F., "Optimal Control of Helicopter Aeromechanical Stability," Vertica, Vol. 11, No. 3, 1987, pp. 425-435.
3. Masarati, P., Muscarello, V., Quaranta, G., Locatelli, A., Mangone, D., Riviello, L., and Viganò, L., "An Integrated Environment for Helicopter Aeroservoelastic Analysis: The Ground Resonance Case," 37th European Rotorcraft Forum, 2011, pp. 177.1-177.12.
4. Deutsch, M. L., "Ground Vibrations of Helicopters," Journal of the Aeronautical Sciences, Vol. 15, No. 5, May 1946, pp. 223-234.
5. Johnson, W., Helicopter Theory, Princeton Univ. Press, Princeton, NJ, 1980.
6. Zhou, K., and Doyle, J., Essentials of Robust Control, Prentice-Hall, Upper Saddle River, NJ, 1998.
7. Lind, R., and Brenner, M., Robust Aeroservoelastic Stability Analysis, Advances in Industrial Control, Springer, New York, 1999.
8. Friedland, B., Control System Design. An Introduction to State Space Methods, McGraw-Hill, New York, 1987.
9. Nyquist, H., "Regeneration Theory," Bell System Technical Journal, Vol. 11, 1932, pp. 126-147; reprint IEEE Publications, Piscataway, NJ, 2001.
10. Amato, F, Iervolino, R., Scala, S., and Verde, L., "Category II Pilot in- the-Loop Oscillations Analysis from Robust Stability Methods," Journal of Guidance, Control, and Dynamics, Vol. 24, No. 3, 2001, pp. 531-538. doi:10.2514/2.4743
11. Borglund, D., "The μ-k Method for Robust Flutter Solutions," Journal of Aircraft, Vol. 41, No. 5, 2004, pp. 1209-1216. doi:10.2514/1.3062
12. Hammond, C, "An Application of Floquet Theory to Prediction of Mechanical Instability," Journal of the American Helicopter Society, Vol. 19, No. 4, 1974, p. 14. doi:10.4050/JAHS.19.14
13. Cockburn, J., and Morton, B., "Linear Fractional Representations of Uncertain Systems," Automatica, Vol. 33, No. 7, 1997, pp. 1263-1271. doi:10.1016/S0005-1098(97)00049-6
14. Desoer, C, and Wang, Y, "On the Generalized Nyquist Stability Criterion," IEEE Transactions on Automatic Control, Vol. 25, No. 2, 1980, pp. 187-196. doi:10.1109/TAC.1980.1102280
15. Hollot, C, and Tempo, R., "On the Nyquist Envelope of an Interval Plant Family," IEEE Transactions on Automatic Control, Vol. 39, No. 2, 1994, pp. 391-396. doi:10.1109/9.272342
16. Skogestad, S., and Postlethwaite, I., Multivariable Feedback Control: Analysis and Design, Wiley, New York, 2005.
17. Doyle, J., and Stein, G., "Multivariable Feedback Design: Concepts for a Classical/Modern Synthesis," IEEE Transactions on Automatic Control, Vol. 26, No. 1, 1981, pp. 4-16. doi:10.1109/TAC.1981.1102555
18. Latchman, H. A., and Crisalle., O. D., Basker, V. R., "The Nyquist Robust Stability Margin - A New Metric for the Stability of Uncertain Systems," International Journal of Robust and Nonlinear Control, Vol. 7, No. 2, 1997, pp. 211-226. doi:10.1002/(ISSN)1099-1239
19. Coleman, R. P., Feingold, A. M., "Theory of Self-Excited Mechanical Oscillations of Helicopter Rotors with Hinged Blades," NACA Rept. 1351, 1958.
20. Donham, R., Cardinale, S., and Sachs, I., "Ground and Air Resonance Characteristics of a Soft In-Plane Rigid-Rotor System," Journal of the American Helicopter Society, Vol. 14, No. 4, 1969, pp. 33-41. doi:10.4050/JAHS.14.33
21. Masarati, P., Muscarello, V, and Quaranta, G., "Linearized Aeroservoelastic Analysis of Rotary-Wing Aircraft," 36th European Rotorcraft Forum, 2010.
22. Tongue, B., "Response of a Rotorcraft Model with Damping Non-Linearities," Journal of Sound and Vibration, Vol. 103, No. 2, 1985, pp. 211-224. doi:10.1016/0022-460X(85)90234-2
23. Tang, D., and Dowell, E., "Influence of Nonlinear Blade Damping on Helicopter Ground Resonance Instability," Journal of Aircraft, Vol. 23, No. 2, 1986, pp. 104-110. doi:10.2514/3.45275
24. Titurus, B., Du Bois, J., Lieven, N., and Hansford, R., "A Method for the Identification of Hydraulic Damper Characteristics from Steady Velocity Inputs," Mechanical Systems and Signal Processing, Vol. 24, No. 8, 2010, pp. 2868-2887. doi:10.1016/j.ymssp.2010.05.021
25. Gandhi, F, and Chopra, I., "An Analytical Model for a Nonlinear Elastomeric Lag Damper and Its Effect on Aeromechanical Stability in Hover," Journal of the American Helicopter Society, Vol. 39, No. 4, 1994, pp. 59-69. doi:10.4050/JAHS.39.59
26. Gelb, A., and Vander Velde, W. E., Multiple-Input Describing Functions and Nonlinear System Design, McGraw-Hill, New York, 1968.
27. Muscarello, V, and Quaranta, G., "Multiple Input Describing Function for Non-Linear Analysis of Ground and Air Resonance," 37th European Rotorcraft Forum, 2011.
28. Manetti, M., Quaranta, G., and Mantegazza, P., "NumericalEvaluation of Limit Cycles of Aeroelastic Systems," Journal of Aircraft, Vol. 46, No. 5, 2009, pp. 1759-1769. doi:10.2514/1.42928
29. Dormand, J. R., Prince, P. J., "A Family of Embedded Runge-Kutta Formulae," Journal of Computational and Applied Mathematics, Vol. 6, No. 1, 1980, pp. 19-26. doi:10.1016/0771-050X(80)90013-3