Autors: Georgieva, H. I.
Title: Modeling of shimmy oscillations in aircraft landing gear
Keywords: shimmy, tyre, modelling

Abstract: The paper proposes an analysis of shimmy oscillations in one of the most used aircraft in general aviation. The main goal of the research is to develop a mathematical model with three degrees of freedom created in a Matlab environment on a Cessna Citation M2. The parameters of the model are obtained from Cessna Textron Aviation, Goodyear Aviation tires and scientific studies. Present research focuses on three main areas: 1) mathematical model, 2) numerical application and results, and 3) discussion and conclusion. The results obtained are presented graphically to facilitate the study of landing gear shimmy oscillations. The effects observed present the subject of discussions in the paper. The model makes the optimization of the amplitude and time of shimmy oscillation possible.


  1. Bureau d'acquêtes et d'Analysais pour la sécurité de l'aviation civile, Rapport accident (2011)
  2. South African Civil Aviation Authority, Aircraft accident rapport and exec utive summary (2015)
  3. La Comisión de Investigación de Accidentes e Incidentes de Aviación Civil, Technical Report A- 068/1999 (2006)
  4. Broulhiet, M.G.: La suspension de la direction de la voiture automobile—shimmy et dandinement. Bull. Soc. Ing. Civ. (France) 78 (1925
  5. Smiley, R. Correlation, eval uation, and extension of linearized theories for tire motion and wheel shimmy, NACA tech. rep , 1299, Washington, DC, (1957)
  6. Somieski, G., 1997, Shimmy Analysis of a Simple Aircraft Nose Landing Gear Model Using Different Mathematical Methods, Aerospace Science and Technology, Volume 8, pp. 545-555
  7. Woerner, P., and Noel, O., 1995, Influence of nonlinearity on the shimmy behaviour of landing gear, Banff; Canada, 4-5 October 1995, <France>, ACARD
  8. Thota, P., Krauskopf, B., Lowenberg, M., 2008, Shimmy in a Nonlinear Model of an Aircraft Nose Landing Gear with Non-zero Rake Angle, Saint Petersburg, Russia, 30 June - 4 July 2008, <The Netherlands>, Euromech
  9. Thota, P., Krauskopf, B., Lowenberg, M., 2009, Interaction of torsion and lateral bending in aircraft nose landing gear shimmy, Nonlinear Dynamics, Volume 57(3), pp. 455-467
  10. Thota, P., Krauskopf, B., Lowenberg, M., 2010, Bifurcation analysis of nose landing gear shimmy with lateral and longitudinal bending, Journal of Aircraft, Volume 47(1), pp. 87–95
  11. Besselink, I., 2000, Shimmy of aircraft main landing gears, Dissertation, Ph.D., <University of Delft>
  12. Coetzee, E. Shimmy in Aircraft Landing Gear, Technical report, Problem presented by Airbus uk/Projects/ESGI56/ESGI5- AirbusShimmy/Report (2006)
  13. Howcrof, C., Krauskopf, B., Lowenberg, M., Neild, S., 2013, Influence of variable side-stay geometry on the shimmy dynamics of an aircraft dual-wheel main landing gear, SIAM Journal on applied dynamical systems, Volume 12(3), pp. 1181-1209
  14. Howcroft, C., Lowenberg, M., Neild, S., Krauskopf, B. and Coetzee, E., 2014, Shimmy of an ai rcraft main landing gear with geometric coupling an d mechanical freeplay, Journal of Computational and Nonlinear Dynamics, Volume 10(5), pp. 051011
  15. B. Schlippe, R. Dietrich, Shimmying of a pneumatic wheel”, NACA-TM 1365 , (1947)
  16. Cessna Textron Aviation, 2017, Cessna Textron Aviation, <>, Дата на последен преглед (Last accessed on): 15.09.2017
  17. Goodyear Aviation Tires, 2017, Goodyear Aviation Tires, <>, Дата на последен преглед (Last accessed on): 15.09.2017


BulTrans-2017, vol. 133, 2017, Bulgaria, Matec Web of Conferences, ISSN 2261-236X

Вид: публикация в национален форум с межд. уч., публикация в реферирано издание