Abstract
AbstractDynamics 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.KeywordsFriction ForceFriction ModelCoulomb FrictionFriction TorqueRigid Body DynamicThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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