Powiadomienia systemowe
- Sesja wygasła!
- Sesja wygasła!
Tytuł artykułu
Autorzy
Wybrane pełne teksty z tego czasopisma
Identyfikatory
Warianty tytułu
Bifurkacyjna analiza nieliniowej dynamiki śmigłowca.
Języki publikacji
Abstrakty
Non-linear dynamics phenomena have become important for various rotocraft motions. Manoeuvrability of a helicopter in critical flight regimes involves non-linear aerodynamics and inertial coupling. Dynamical systems theory provides a methodology for studying non-linear systems of ordinary defferential equations. Bifurcation theory is a part of that theory which is considering changes in the stability leading to qualitatively defferent responses of the system. These changes are called bifurcations. Several papers can be found in which buffurcation theory has been applied to analyse the equations of motion. In this paper, the author presents a study of the critical flight regimes dynamic of the helicopter. Such dynamics is non-linear and therefore it is evident that bifurcation theory can be used in analysis. The equations of motion used in this investigations assumed an 'individual blade' rotocraft model. Results from dynamical systems theory were used to predict the nature of the instabilities caused by bifurcations and the response of the rotorcraft after a bifurcation was studied.
Równania ruchu śmigłowca są opisane układem silnie nieliniowych równań różniczkowych zwyczajnych. Nieliniowość tych równań pogłębia się w przypadku uwzględnienia nistacjonarności opływu. Teoria bifurkacji bądąca częścią teorii systemów dynamicznych jest doskonałym narzędziem pozwalającym na anlizę nieliniowych zagadnień dynamiki lotu. Szczególnie nadaje się ona do badania zmian stanów stateczności. W pracy przedsatwiono wyniki bifurkacyjnej analizy wybranych granicznych stanów lotu śmigłowca. Do analizy ruchu śmigłowca zastosowano tzw. model 'indywidualnej łopaty'. Przeanalizowano typy występujących bifurkacji i zbadano ruch śmigłowca po wystąpieniu bifurkacji.
Wydawca
Czasopismo
Rocznik
Tom
Strony
171--192
Opis fizyczny
Twórcy
autor
- Military University of Technology, Poland
Bibliografia
- [1] Guckenheimer J., Holmes J.: Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields. Springer-Verlag, New York, 1983.
- [2] Ioos G., Joseph D.: Elementary Stability and Bifurcation Theory. Springer-Verlag, New York, 1980.
- [3] Doedel E. J., Kernevez J. P.: Software for Continuation Problems in Ordinary Differential Equations with Applications. California Institute of Technology, Pasadena, 1985.
- [4] Keller H. B.: Numerical Solution of Bifurcation and Nonlinear Eigenvalue Problems. Application of Bifurcation Theory, Academic Press, N. York, 1977.
- [5] Jahnke C. C., 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
- [6] Carroll J. V., Mehra R. K.: Bifurcation Analysis of Non-Linear Aircraft Dynamics. Journal of Guidance Control and Dynamics, Vol. 5, No. 5, 1982.
- [7] Guicheteau P.: Bifurcation Theory in Flight Dynamics an Application to a Real Combat Aircraft, ICAS-90-5.10.4. Proc. 17th ICAS Congress, 1990.
- [8] Avanzini G., de Matteis G.: Bifurcation Analysis of a Highly Augmented Aircraft Model. Journal of Guidance, Control, and Dynamics, Vol. 20, No. 4, 1997.
- [9] Mansur M. H.: Development and Validation of a Blade Element Mathematical Model for AH-64A Apache Helicopter. NASA-TM-108863, April 1995.
- [10] Rutherford S., Thomson D. G.: Helicopter Inverse Simulation Incorporating an Idywidual Blade Rotor Model. Pro. 20th ICAS Congress, 1996.
- [11] Dżygadło Z., Kowaleczko G., Sibilski K.: Numerical Investigations of Helicopter Dynamics in Extreme Flight Conditions. Proc. 23 European Rotorcraft Forum, 1997.
- [12] Tran C. T., Petot D.: Semi-Empirical Model for the Dynamic Stall of Airfoils in View of the Application to the Calculation of Responses of a Helicopter Rotor Blade in Forward Flight. Vertica, 5, 1981.
- [13] Narkiewicz J.: Rotorcraft Aeromechanical and Aeroelastic Stability. Scientific Works of Warsaw University of Technology, Issue Mechanics, No. 158, 1994.
- [14] Hassard B. D., Kazarinoff N. D., Wan Y. H.: Theory and Applications of Hopf Bifurcation. Cambridge University Press, 1981.
- [15] Marsden J. E., McCracken M.: The Hopf Bifurcation and its Applications. Applied Mathematical Science, vol. 19, Springer Verlag, 1976.
- [16] Crawford I. E.: Introduction to Bifurcation Theory. Reviews of Modern Physics, Vol. 63, No. 4, 1991.
- [17] Troger H., Steindl A.: Nonlinear Stability and Bifurcation Theory, Springer Verlag, New York, 1991.
- [18] Storm O.: Programm zur Berechnung Der Krafte, Momente und Bewegungsverlaufe von Hubschaubern mit Gelenkig Angeschlossenen Rotorblattern. Forsungsbericht 71-67, DFVLR, Stutgart, 1971.
- [19] Sibilski K.: Modelling of agile airship dynamics in limiting flight conditions. Report No. 2557/98, Military University of Technology, Warsaw 1998.
- [20] Kowaleczko G.: Non-Linear Dynamics of Helicopter Space Motion. Report No. 2509/98, Military University of Technology, Warsaw 1998.
- [21] Esaulov S, Bachov Ju., Dmitriev I. C.: Wiertoliot kak obiekt upravlenija. Maszinostrojenie, Moskva, 1977.
- [22] Tran C. T., Petot D.: Semi-Empirical Model for the Dynamic Stall of Airfoils in View of the Application to the Calculation of Responses of a Helicopter Rotor Blade in Forward Flight. Vertica, 5, 1981.
- [23] Tang D. M., Dowell E. H.: Comparison of Theory and Experiment for Non-Linear Flutter and Stall Response of A Helicopter Blade. Journal of Sound and Vibration, No. 165 (2), 1993.
- [24] Tang D. M., Dowell E. H.: Damping Prediction for a Stalled Rotor in Flap-Lag with Experimental Correlation. Journal of the American Helicopter Society, Vol. 40, No. 4, 1995.
- [25] Tang D. M., Dowell E. H.: Unsteady Aerodynamic Forces and Aeroelastic Response for External Store of an Aircraft, Journal of Aircraft, Vol. 35, No. 5, 1998.
- [26] Tang D. M., Dowell E. H.: Flutter and Stall Response of a Helicopter Blade with Structural Nonlinearity. Journal of Aircraft, Vol. 29, No. 5, 1992.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BOS1-0009-0030