 | | 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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| A.A. Burov and E.S. Shalimova, "Bifurcations of Relative Equilibria of a Heavy Bead on a Rotating Parabolic Bowl with Dry Friction," Mech. Solids. 51 (4), 395-405 (2016) |
| Year |
2016 |
Volume |
51 |
Number |
4 |
Pages |
395-405 |
| DOI |
10.3103/S0025654416040038 |
| Title |
Bifurcations of Relative Equilibria of a Heavy Bead on a Rotating Parabolic Bowl with Dry Friction |
| Author(s) |
A.A. Burov (Dorodnicyn Computing Center, Russian Academy of Sciences, ul. Vavilova 40, Moscow, 119333 Russia; National Research University "Higher School of Economics," ul. Myasnitskaya 20, Moscow, 101000 Russia, aburov@ccas.ru)
E.S. Shalimova (Lomonosov Moscow State University, Moscow, 119992 Russia, ekateryna-shalimova@yandex.ru) |
| Abstract |
The motion of a heavy bead on the surface of a parabolic bowl rotating at a constant angular velocity about its axis, which coincides with the vertical, is considered. It is assumed that the dry friction force acts between the bead and the bowl. The sets of nonisolated relative equilibria of the bead on the bowl are determined, and their dependence on the problem parameters is studied. The results are illustrated in the form of bifurcation diagrams. |
| Keywords |
systems with friction, relative equilibria, dry friction |
| References |
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|
| Received |
10 December 2014 |
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