Isolated large amplitude periodic motions of towed rigid wheels

Denes Takacs*, Gabor Stepan, S. John Hogan

*Corresponding author for this work

Research output: Contribution to journalArticle (Academic Journal)

30 Citations (Scopus)

Abstract

This study investigates a low degree-of-freedom (DoF) mechanical model of shimmying wheels. The model is studied using bifurcation theory and numerical continuation. Self-excited vibrations, that is, stable and unstable periodic motions of the wheel, are detected with the help of Hopf bifurcation calculations. These oscillations are then followed over a large parameter range for different damping values by means of the software package AUTO97. For certain parameter regions, the branches representing large-amplitude stable and unstable periodic motions become isolated following an isola birth. These regions are extremely dangerous from an engineering point of view if they are not identified and avoided at the design stage.

Translated title of the contributionIsolated large amplitude periodic motions of towed rigid wheels
Original languageEnglish
Pages (from-to)27-34
Number of pages7
JournalNonlinear Dynamics
Volume52
Issue number1-2
DOIs
Publication statusPublished - Apr 2008

Bibliographical note

Publisher: Springer

Keywords

  • wheel
  • shimmy
  • bifurcation
  • continuation
  • stability

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