The dynamics of passenger aircraft on the ground are influenced by the nonlinear characteristics of several components, including geometric nonlinearities, aerodynamics, and interactions at the tire-ground interface. We present a fully parameterized mathematical model of a typical passenger aircraft that includes all relevant nonlinear effects. The full equations of motion are derived from first principles in terms of forces and moments acting on a rigid airframe, and they include implementations of the local models of individual components. The overall model has been developed from and validated against an existing industry-tested SIMMECHANICS model. The key advantage of the mathematical model is that it allows for comprehensive studies of solutions and their stability with methods from dynamical systems theory, particularly, the powerful tool of numerical continuation. As a concrete example, we present a bifurcation study of how fixed-radius turning solutions depend on the aircraft’s steering angle and center of gravity position. These results are represented in a compact form as surfaces of solutions, on which we identify regions of stable turning and regions of laterally unstable solutions. The boundaries between these regions are computed directly, and they allow us to determine ranges of parameter values for safe operation. The robustness of these results under the variation in additional parameters, specifically, the engine thrust and aircraft mass, are investigated. Qualitative changes in the structure of the solutions are identified and explained in detail. Overall our results give a complete description of the possible turning dynamics of the aircraft in dependence on four parameters of operational relevance.
Skip Nav Destination
Article navigation
April 2010
Research Papers
Operational Parameter Study of Aircraft Dynamics on the Ground
Bernd Krauskopf,
Bernd Krauskopf
Faculty of Engineering,
University of Bristol
, Bristol BS8 1TR, UK
Search for other works by this author on:
Mark Lowenberg,
Mark Lowenberg
Faculty of Engineering,
University of Bristol
, Bristol BS8 1TR, UK
Search for other works by this author on:
Etienne Coetzee
Etienne Coetzee
Landing Gear Systems,
Airbus
, Bristol BS99 7AR, UK
Search for other works by this author on:
James Rankin
Bernd Krauskopf
Faculty of Engineering,
University of Bristol
, Bristol BS8 1TR, UK
Mark Lowenberg
Faculty of Engineering,
University of Bristol
, Bristol BS8 1TR, UK
Etienne Coetzee
Landing Gear Systems,
Airbus
, Bristol BS99 7AR, UKJ. Comput. Nonlinear Dynam. Apr 2010, 5(2): 021007 (11 pages)
Published Online: February 18, 2010
Article history
Received:
February 24, 2009
Revised:
July 9, 2009
Published:
February 18, 2010
Citation
Rankin, J., Krauskopf, B., Lowenberg, M., and Coetzee, E. (February 18, 2010). "Operational Parameter Study of Aircraft Dynamics on the Ground." ASME. J. Comput. Nonlinear Dynam. April 2010; 5(2): 021007. https://doi.org/10.1115/1.4000797
Download citation file:
Get Email Alerts
A numerical study for nonlinear time-space fractional reaction-diffusion model of fourth-order
J. Comput. Nonlinear Dynam
A Fast Chebyshev Collocation Method for Stability Analysis of a Robotic Machining System with Time Delay
J. Comput. Nonlinear Dynam
Characterization of Three-Mode Combination Internal Resonances in Electrostatically Actuated Flexible–Flexible Microbeams
J. Comput. Nonlinear Dynam (December 2024)
Investigation of nonlinear dynamic behaviors of vertical rotor system supported by aerostatic bearings
J. Comput. Nonlinear Dynam
Related Articles
IN MEMORIAM : Professor Arthur H. Lefebvre (1923–2003)
J. Eng. Gas Turbines Power (April,2004)
Metode Matematice in Aerodinamica
Appl. Mech. Rev (July,2001)
Lateral Load Transfer Effects on Bifurcation Behavior of Four-Wheel Vehicle System
J. Comput. Nonlinear Dynam (October,2009)
Propulsion System Requirements for Long Range, Supersonic Aircraft
J. Fluids Eng (March,2006)
Related Proceedings Papers
Related Chapters
Dynamic Behavior in a Singular Delayed Bioeconomic Model
International Conference on Instrumentation, Measurement, Circuits and Systems (ICIMCS 2011)
Aircraft Tire Footprint Forces
The Tire Pavement Interface
Wind Turbine Aerodynamics Part A: Basic Principles
Wind Turbine Technology: Fundamental Concepts in Wind Turbine Engineering, Second Edition