 | | 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: | | 13025 |
| In Russian (Čçâ. ĐŔÍ. ĚŇŇ): | | 8110
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| In English (Mech. Solids): | | 4915 |
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| A.A. Burov, V.I. Nikonov, and E.A. Nikonova, "On the Motion of a Bead on a Rough Hoop Freely Rotating Around a Vertical Diameter," Mech. Solids. 59 (6), 3347-3359 (2024) |
| Year |
2024 |
Volume |
59 |
Number |
6 |
Pages |
3347-3359 |
| DOI |
10.1134/S0025654424604440 |
| Title |
On the Motion of a Bead on a Rough Hoop Freely Rotating Around a Vertical Diameter |
| Author(s) |
A.A. Burov (Federal Research Center “Computer Science and Control” of the Russian Academy of Sciences, Moscow, 119333 Russia, jtm@yandex.ru)
V.I. Nikonov (Federal Research Center “Computer Science and Control” of the Russian Academy of Sciences, Moscow, 119333 Russia, nikon_v@list.ru)
E.A. Nikonova (Federal Research Center “Computer Science and Control” of the Russian Academy of Sciences, Moscow, 119333 Russia;Sirius University of Science and Technology, Sirius Federal Territory, Krasnodarskii krai, 354340 Russia, nikonova.ekaterina.a@gmail.com) |
| Abstract |
We consider the problem of the motion of a heavy bead strung on a rough heavy hoop freely
rotating around a vertical diameter. Non-isolated sets of steady motions of the system are identified,
and their bifurcation diagrams are constructed. The dependence of these solutions on an essential
parameter of the problem—the constant of the cyclic integral—is studied. The results obtained are
compared with the results obtained previously for the case when a rough hoop rotates around a vertical
diameter with a constant angular velocity. Typical phase portraits are constructed for various combinations of system parameters. |
| Keywords |
bilateral constraints, friction, steady motions, non-isolated relative equilibria, bifurcation diagram, phase portrait |
| Received |
26 May 2024 | Revised |
16 July 2024 | Accepted |
25 July 2024 |
| Link to Fulltext |
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