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This article is cited in 11 scientific papers (total in 11 papers)
The Tippedisk: a Tippetop Without Rotational Symmetry
Simon Sailer, Simon R. Eugster, Remco I. Leine Institute for Nonlinear Mechanics, University of Stuttgart,
Pfaffenwaldring 9, 70569 Stuttgart, Germany
Abstract:
The aim of this paper is to introduce the tippedisk to the theoretical mechanics community as a new mechanical-mathematical archetype for friction induced instability phenomena. We discuss the modeling and simulation of the tippedisk, which is an inhomogeneous disk showing an inversion phenomenon similar but more complicated than the tippetop. In particular, several models with different levels of abstraction, parameterizations and force laws are introduced. Moreover, the numerical simulations are compared qualitatively with recordings from a high-speed camera. Unlike the tippetop, the tippedisk has no rotational symmetry, which greatly complicates the three-dimensional nonlinear kinematics. The governing differential equations, which are presented here in full detail, describe all relevant physical effects and serve as a starting point for further research.
Keywords:
gyroscopic system, friction, contact modelling, dynamics, inversion phenomenon.
Received: 24.07.2020 Accepted: 16.10.2020
Citation:
Simon Sailer, Simon R. Eugster, Remco I. Leine, “The Tippedisk: a Tippetop Without Rotational Symmetry”, Regul. Chaotic Dyn., 25:6 (2020), 553–580
Linking options:
https://www.mathnet.ru/eng/rcd1084 https://www.mathnet.ru/eng/rcd/v25/i6/p553
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Abstract page: | 115 | References: | 26 |
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