Why does the tippedisk invert? Theory and experiments
Simon Sailer  1@  , Remco Leine  2@  
1 : Institute for Nonlinear Mechanics, University of Stuttgart  (INM)  -  Website
Pfaffenwaldring 9 70569 Stuttgart -  Germany
2 : Institute for Nonlinear Mechanics, University of Stuttgart  (INM)  -  Website
Pfaffenwaldring 9 70569 Stuttgart -  Germany

The Tippedisk is a mechanical-mathematical archetype for a peculiar friction-induced inversion phenomenon that occurs when the disk is spun rapidly about an in-plane axis, with the center of gravity rising counterintuitively as the orientation of the disk inverts. To qualitatively understand the dynamical behavior of the tippedisk, a nonlinear analysis is performed leading to a singularly perturbed structure of the system equations. Application of singular perturbation theory implies the study of the long-term behavior on a two-dimensional slow manifold, which finally allows to qualitatively explain the non-intuitive inversion behavior. Due to the technical simplicity of the system, the pronounced nonlinear behavior can be easily compared with real experiments.



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