Stépán, Gábor (2002) Appel-Gibbs equations for classical wheel shimmy : an energy view. JOURNAL OF COMPUTATIONAL AND APPLIED MECHANICS, 3 (1). pp. 85-92. ISSN 1586-2070
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Abstract
The spatial motion of elastically supported wheels rolling on rough plane surfaces is an old and well-studied problem of classical mechanics. The recent development of nonlinear vibrations theory, the appearance of bifurcation theory, and the description of chaotic motions drew the attention again to this classical problem, reconsidering several partial results we know. This study investigates the lowest degree-of-freedom mechanical model of a shimmying wheel that still exhibits unstable stationary rolling and even chaos. An explanation of the instability is given considering the energy flow in the system with or without the presence of viscous damping.
| Item Type: | Article |
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| Uncontrolled Keywords: | dynamical systems, local bifurcations, non-holonomic systems |
| Subjects: | T Technology / alkalmazott, műszaki tudományok > T2 Technology (General) / műszaki tudományok általában |
| SWORD Depositor: | MTMT SWORD |
| Depositing User: | MTMT SWORD |
| Date Deposited: | 23 Aug 2025 16:20 |
| Last Modified: | 23 Aug 2025 16:20 |
| URI: | https://real.mtak.hu/id/eprint/222637 |
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