Bifurcation anlysis of helicopter non-linear dynamics.

• Autorzy: Sibilski Krzysztof

Warianty tytułu

PL

Bifurkacyjna analiza nieliniowej dynamiki śmigłowca.

• Języki publikacji: EN

Abstrakty

EN

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.

PL

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.

Słowa kluczowe

EN

helicopter non-linear dynamics; bifurcation analysis; dynamical system theory; flight dynamic; bifurcation

PL

dynamika śmigłowca nieliniowa; analiza bifurkacyjna; dynamika lotu; teoria systemów dynamicznych; bifurkacja

• Wydawca: Komitet Budowy Maszyn PAN
• Czasopismo: Archive of Mechanical Engineering
• Rocznik: 1999
• Tom: Vol. XLVI, nr 2
• Strony: 171--192

Twórcy

autor

Sibilski Krzysztof

• Military University of Technology, Poland

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