 | | 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: | | 13088 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8125
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| In English (Mech. Solids): | | 4963 |
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| A.A. Burov, V.I. Nikonov, and E.S. Shalimova, "On the Equilibria and Uniform Rotations of a Dumbbell-Shaped Body on a Rough Horizontal Plane with Two Contact Points," Mech. Solids. 60 (1), 20-30 (2025) |
| Year |
2025 |
Volume |
60 |
Number |
1 |
Pages |
20-30 |
| DOI |
10.1134/S0025654424604403 |
| Title |
On the Equilibria and Uniform Rotations of a Dumbbell-Shaped Body on a Rough Horizontal Plane with Two Contact Points |
| Author(s) |
A.A. Burov (FRC CSC RAS, Moscow, 119333 Russia;, jtm@narod.ru)
V.I. Nikonov (FRC CSC RAS, Moscow, 119333 Russia;, nikon_v@list.ru)
E.S. Shalimova (FRC CSC RAS, Moscow, 119333 Russia; Lomonosov Moscow State University, Moscow, 119991 Russia, ekateryna-shalimova@yandex.ru) |
| Abstract |
A problem of motion of a dumbbell-shaped body on a horizontal rough plane is considered.
It is assumed that the dumbbell is a weightless inextensible rod, with masses being concentrated at two
points of it, and there is dry friction between these points and the plane. It is also assumed that a constant force acts perpendicular to the rod on some fixed point on it. The conditions under which the rod
is at rest, as well as the conditions under which the rod uniformly rotates around one of its points of
support, are determined. The relation between the magnitude of the angular velocity of uniform rotation and the force providing such a rotation is revealed. Bifurcation diagrams are constructed and analyzed. |
| Keywords |
dry friction, bifurcations, equilibria, uniform rotations, steady motions |
| Received |
25 June 2024 | Revised |
29 July 2024 | Accepted |
06 August 2024 |
| Link to Fulltext |
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