 | | 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: | | 12854 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
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| In English (Mech. Solids): | | 4810 |
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| << Previous article | Volume 55, Issue 7 / 2020 | Next article >> |
| Gorr G.V., "Analog of the Poinsot Interpretation of the Euler Solution in the Motion Problem for a Rigid Body in a Potential Field of Forces," Mech. Solids. 55 (7), 932-940 (2020) |
| Year |
2020 |
Volume |
55 |
Number |
7 |
Pages |
932-940 |
| DOI |
10.3103/S0025654420070109 |
| Title |
Analog of the Poinsot Interpretation of the Euler Solution in the Motion Problem for a Rigid Body in a Potential Field of Forces |
| Author(s) |
Gorr G.V. (Institute of Applied Mathematics and Mechanics, National Academy of Sciences of Ukraine, Donetsk, 83114 Ukraine, gvgorr@gmail.com) |
| Abstract |
We investigate the motion problem for a rigid body with a fixed point under the action of
potential forces. Existence conditions for three invariant relations of the equations of motion are
obtained. Dependences of basic variables on time are found. The motion of the ellipsoid of inertia of
the body is studied in immovable space. An analog of the Poinsot interpretation of the Euler solution
is established: the motion of the body is represented by the ellipsoid of inertia rolling without slip along
a plane tangent to it in fixed space. |
| Keywords |
contact problem, elasticity, inhomogeneous cylinder |
| Received |
25 September 2019 | Revised |
21 November 2019 | Accepted |
02 December 2019 |
| Link to Fulltext |
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