 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 12854 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
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| In English (Mech. Solids): | | 4810 |
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| << Previous article | Volume 58, Issue 3 / 2023 | Next article >> |
| A.A. Burov and V.I. Nikonov, "On the Relative Equilibria of a Heavy Bead on a Uniformly Rotating Rough Spoke," Mech. Solids. 58 (3), 748-753 (2023) |
| Year |
2023 |
Volume |
58 |
Number |
3 |
Pages |
748-753 |
| DOI |
10.3103/S0025654422600763 |
| Title |
On the Relative Equilibria of a Heavy Bead on a Uniformly Rotating Rough Spoke |
| Author(s) |
A.A. Burov (Federal Research Center "Informatics and Control" of the Russian Academy of Sciences, Moscow, Russia, jtm@narod.ru)
V.I. Nikonov (Federal Research Center "Informatics and Control" of the Russian Academy of Sciences, Moscow, Russia, nikon_v@list.ru) |
| Abstract |
The movement of a heavy bead strung on a rough spoke, uniformly rotating around a vertical axis, is considered. Under the assumption that the spoke and the axis of rotation are crossed, the existence of sets of non-isolated relative equilibria of the bead and their dependence on parameters are studied. The problem is a natural generalization of the well-known Sommerfeld problem, which assumes that the spoke and the axis of rotation intersect. |
| Keywords |
relative equilibria, dry friction, uniformly rotating frame of reference, rough spoke, heavy bead |
| Received |
21 April 2022 | Revised |
29 June 2022 | Accepted |
30 June 2022 |
| Link to Fulltext |
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