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The dynamics of a Tippe top. (English) Zbl 0805.70008

Summary: Despite the numerous studies devoted to the dynamics of a spinning top, some disputable issues concerning the classical motion still remain unsettled. The complexity of the six degree-of-freedom motion is compounded by the assumptions that must be made about the friction law. In this paper, a numerical model based on a more general description of contact friction is developed to simulate the unusual flip behavior of an old toy, known as the Tippe top. The results appear to explain some of the puzzles raised and disputed by previous investigators.

MSC:

70E05 Motion of the gyroscope
70E15 Free motion of a rigid body
70K20 Stability for nonlinear problems in mechanics
70J25 Stability for problems in linear vibration theory
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