| | 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: | | 12804 |
In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
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In English (Mech. Solids): | | 4760 |
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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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