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A new model of shimmy

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Abstract

Shimmy is the phenomenon of intensive angular self-excited vibrations of a vehicle wheel. Such self-excited vibrations seriously threaten the safety ofmotion, which explains scientists’ profound interest in this phenomenon. This problem is most serious for the front wheels of aircraft. Tyre deformation is usually viewed to be the main cause of shimmy. Without casting doubt on this point, we still note that this is not the only cause. The shimmy phenomenon can also be observed in everyday life and for various hand carts, where any reference to tyre elasticity is most often irrelevant if the wheels are rigid.

We show that the polycomponent dry friction theory can completely explain the shimmy phenomenon for absolutely rigidwheels and hence polycomponent dry friction is at least one of its causes in the general case.

Dry friction has been neglected by scientists when explaining shimmy because dry friction theory has not been sufficiently well developed until recently; at the same time, shimmy cannot be explained in the framework of earlier conceptions.

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References

  1. V. S. Gozdek, “Reaction of the Ground on a Vibrating RollingWheel with an Elastic Tire, ” Dokl. Akad.Nauk SSSR 186(5), 1031–1033 (1969) [Soviet Phys. Dokl. (Engl. Transl.) 14, 536 (1969)].

    Google Scholar 

  2. M. V. Keldysh, “Fore Wheel Shimmy of a Three-Wheel Landing Gear, ” in Selected Works. Mechanics (Nauka, Moscow, 1985), pp. 491–530 [in Russian].

    Google Scholar 

  3. K. S. Kolesnikov, Self-Excited Oscillations of the Car Steering Wheels (Gostekhizdat, Moscow, 1955) [in Russian].

    Google Scholar 

  4. J. Medzorian, “An Investigation of Landing Gear Shimmy: Tire Models, Tire Test Methodologies, Analysis and Parameter Studies, ” in 1999 World Aviation Conf. San Francisco, CA (1999), Docum. No. 1999-01-SS27.

    Google Scholar 

  5. H. B. Pacejka, Tyre and Vehicle Dynamics (Butterworth-Heinemann, Oxford, 2002).

    Google Scholar 

  6. Y. Rocard, Dynamique Général des Vibrations (Masson, Paris, 1949).

    Google Scholar 

  7. J. Svendenius, The Models for Use in Braking Applications (Department of Automatic Control, Lund Institute of Technology, Lund, 2003).

    Google Scholar 

  8. I. G. Goryacheva, Mechanics of Friction Interaction (Nauka, Moscow, 2001) [in Russian].

    Google Scholar 

  9. V. Ph. Zhuravlev, “On theModel of Dry Friction in Problems of Rigid Body Dynamics, ” UspekhiMekh. 3(6), 157–168 (2005).

    MathSciNet  Google Scholar 

  10. V. Ph. Zhuravlev and D.M. Klimov, “On the Dynamics of the Thompson Top (Tippe Top) on the Plane with Real Dry Friction, ” Izv. Akad. Nauk.Mekh. Tverd. Tela, No. 6, 157–168 (2005) [Mech. Solids (Engl. Transl.) 40 (6), 117–127 (2005)].

    Google Scholar 

  11. V. Ph. Zhuravlev and D. M. Klimov, “The Causes of the Shimmy Phenomenon, ” Dokl. Ross. Akad. Nauk 428(6), 761–764 [Dokl.Phys. (Engl. Transl.) 54 (10), 475–478 (2009)].

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Correspondence to V. Ph. Zhuravlev.

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Original Russian Text © V.Ph. Zhuravlev, D.M. Klimov, P.K. Plotnikov, 2013, published in Izvestiya Akademii Nauk. Mekhanika Tverdogo Tela, 2013, No. 5, pp. 13–23.

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Zhuravlev, V.P., Klimov, D.M. & Plotnikov, P.K. A new model of shimmy. Mech. Solids 48, 490–499 (2013). https://doi.org/10.3103/S0025654413050026

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  • DOI: https://doi.org/10.3103/S0025654413050026

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