caa a22 4500 445361999 CHVBK 20180317142917.0 cr unu---uuuuu 170323e20111201xx s 000 0 eng 10.1007/s11071-010-9940-y doi (NATIONALLICENCE)springer-10.1007/s11071-010-9940-y Canard cycles in aircraft ground dynamics [Elektronische Daten] [J. Rankin, M. Desroches, B. Krauskopf, M. Lowenberg] The loss of lateral stability of an aircraft turning on the ground is associated with a rapid transition from small-amplitude oscillations to large-amplitude relaxation oscillations over a very small parameter range. This phenomenon is shown to correspond to a canard explosion, which is known to be an important feature of systems that exhibit a separation of time scales. While the industry-tested model of aircraft ground dynamics that we consider does not feature an explicit splitting of time scales, we show that, locally near the transition from stable turning to laterally unstable behaviour, the forward speed of the aircraft acts as a slow variable. The associated family of canard cycles is identified, and the canard explosion is shown to be directly related to the successive saturation of tyre forces at the two main landing gears. We present a canonical two-dimensional slow-fast vector field model that captures the key features of this type of canard explosion; it differs from the canard explosion in the archetypical Van der Pol system in terms of the shape of the associated critical manifold. Springer Science+Business Media B.V., 2011 Aircraft nationallicence Ground handling nationallicence Nonlinear dynamics nationallicence Canard explosion nationallicence Slow-fast dynamics nationallicence Rankin J. NeuroMathComp Project Team, INRIA Sophia Antipolis, 2004 Rue des Lucioles-BP93, 06902, Sophia Antipolis, France aut Desroches M. Faculty of Engineering, University of Bristol, University Walk, BS8 1TR, Bristol, UK aut Krauskopf B. Faculty of Engineering, University of Bristol, University Walk, BS8 1TR, Bristol, UK aut Lowenberg M. Faculty of Engineering, University of Bristol, University Walk, BS8 1TR, Bristol, UK aut Nonlinear Dynamics Springer Netherlands 66/4(2011-12-01), 681-688 0924-090X 66:4<681 2011 66 11071 https://doi.org/10.1007/s11071-010-9940-y text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11071-010-9940-y text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Rankin J. NeuroMathComp Project Team, INRIA Sophia Antipolis, 2004 Rue des Lucioles-BP93, 06902, Sophia Antipolis, France aut NATIONALLICENCE 700 1- Desroches M. Faculty of Engineering, University of Bristol, University Walk, BS8 1TR, Bristol, UK aut NATIONALLICENCE 700 1- Krauskopf B. Faculty of Engineering, University of Bristol, University Walk, BS8 1TR, Bristol, UK aut NATIONALLICENCE 700 1- Lowenberg M. Faculty of Engineering, University of Bristol, University Walk, BS8 1TR, Bristol, UK aut NATIONALLICENCE 773 0- Nonlinear Dynamics Springer Netherlands 66/4(2011-12-01), 681-688 0924-090X 66:4<681 2011 66 11071 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer