Nonlinear Dynamics

, Volume 57, Issue 3, pp 455–467 | Cite as

Interaction of torsion and lateral bending in aircraft nose landing gear shimmy

  • Phanikrishna Thota
  • Bernd Krauskopf
  • Mark Lowenberg
Original Paper


In this paper we consider the onset of shimmy oscillations of an aircraft nose landing gear. To this end we develop and study a mathematical model with torsional and lateral bending modes that are coupled through a wheel-mounted elastic tyre. The geometric effects of a positive rake angle are fully incorporated into the resulting five-dimensional ordinary differential equation model. A bifurcation analysis in terms of the forward velocity and the vertical force on the gear reveals routes to different types of shimmy oscillations. In particular, we find regions of stable torsional and stable lateral shimmy oscillations, as well as transient quasiperiodic shimmy where both modes are excited.


Aircraft dynamics Shimmy oscillations Mode interaction Quasiperiodic motion 


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Copyright information

© Springer Science+Business Media B.V. 2008

Authors and Affiliations

  • Phanikrishna Thota
    • 1
  • Bernd Krauskopf
    • 1
  • Mark Lowenberg
    • 2
  1. 1.Department of Engineering MathematicsUniversity of Bristol, Queen’s BuildingBristolUK
  2. 2.Department of Aerospace EngineeringUniversity of BristolBristolUK

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