 | | 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 7 / 2023 | Next article >> |
| G.M. Rozenblat, "Features of Statics and Dynamics of a Heavy Ellipsoid on a Rough Inclined Plane," Mech. Solids. 58 (7), 2504-2514 (2023) |
| Year |
2023 |
Volume |
58 |
Number |
7 |
Pages |
2504-2514 |
| DOI |
10.3103/S0025654423070208 |
| Title |
Features of Statics and Dynamics of a Heavy Ellipsoid on a Rough Inclined Plane |
| Author(s) |
G.M. Rozenblat (Moscow Automobile and Road Construction State Technical University (MADI), Moscow, Russia, gr51@mail.ru) |
| Abstract |
The article considers problems of equilibria and stationary rotations of a heavy ellipsoid
body on an absolutely rough inclined plane. The contact of the body with the plane is pointlike and
occurs without slippage (nonholonomic constraint). All equilibrium positions of the ellipsoid are
found and their instability is shown in the spatial case, when perturbations of the body can occur with
rotation. It is shown that stationary body rotations on the rough inclined plane cannot be realized. |
| Keywords |
ellipsoid, absolutely rough plane, equilibrium, stability, stationary rotations |
| Received |
14 April 2023 | Revised |
15 June 2023 | Accepted |
20 June 2023 |
| Link to Fulltext |
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