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Different Models of Friction in Double-Spherical Tippe-Top Dynamics

  • A. A. Zobova
Part of the IUTAM Bookseries book series (IUTAMBOOK, volume 30)

Abstract

Dynamics of a two-spherical tippe-top on a rough horizontal plane is considered. The tippe-top is bounded by a non-convex surface that consists of two-spheres and a cylinder; the axis of cylinder coincides with the common spheres’ axes of symmetry. Being fast spun around its axis of symmetry the tippe-top overturns from the bottom (the big sphere) to the leg (that is modeled by a small sphere) and some time it returns back to stable equilibrium position. Different models of friction are examined analytically and numerically. Numerical investigation is done in assumption that supporting plane is slightly deformable, that allows one to describe rolling and impacts by the same system of dynamical equations. Results of numerical investigation coincide with analytical conclusions.

Keywords

Friction Force Friction Model Coulomb Friction Friction Torque Rigid Body Dynamic 
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Copyright information

© Springer Dordrecht Heidelberg London New York 2011

Authors and Affiliations

  • A. A. Zobova
    • 1
  1. 1.Lomonosov Moscow State UniversityMoscowRussia

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