Bifurcation analysis of nose-landing-gear shimmy with lateral and longitudinal bending

Phanikrishna Thota*, Bernd Krauskopf, Mark Lowenberg

*Corresponding author for this work

Research output: Contribution to journalArticle (Academic Journal)peer-review

15 Citations (Scopus)


This work develops and studies a model of an aircraft nose landing gear with torsional, lateral, and longitudinal degrees of freedom. The corresponding three modes are coupled in a nonlinear fashion via the geometry of the landing gear in the presence of a nonzero rake angle, as well as via the nonlinear tire forces. Their interplay may lead to different types of shimmy oscillations as a function of the forward velocity and the vertical force on the landing gear. Methods from nonlinear dynamics, especially numerical continuation of equilibria and periodic solutions, are used to asses how the three modes contribute to different types of shimmy dynamics. In conclusion, the longitudinal mode does not actively participate in the nose-landing-gear dynamics over the entire range of forward velocity and vertical force.

Original languageEnglish
Pages (from-to)87-95
Number of pages9
JournalJournal of Aircraft
Issue number1
Publication statusPublished - Jan 2010

Cite this