 | | 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
|
| In English (Mech. Solids): | | 4760 |
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| << Previous article | Volume 58, Issue 8 / 2023 | Next article >> |
| G.V. Gorr, "A Kinematic Interpretation of Rigid Body Motion in a New Solution of Grioli Equations," Mech. Solids. 58 (8), 2738-2749 (2023) |
| Year |
2023 |
Volume |
58 |
Number |
8 |
Pages |
2738-2749 |
| DOI |
10.3103/S0025654423080101 |
| Title |
A Kinematic Interpretation of Rigid Body Motion in a New Solution of Grioli Equations |
| Author(s) |
G.V. Gorr (Steklov Mathematical Institute, Russian Academy of Sciences, Moscow, 119991 Russia, gvgorr@gmail.com) |
| Abstract |
A new solution is obtained for the problem concerning the motion of a rigid body having a
fixed point, affected by potential and gyroscopic forces. With the use of a modified Poinsot method
proposed by the author, it is shown that the body motion in the constructed solution can be presented
by a nonslip rolling of the inertia ellipsoid of a body on a plane fixed in space. This result can be considered as an analog of a Poinsot result obtained based on the interpretation of motion a rigid body in
Euler solution. |
| Keywords |
solution to Grioli equations, kinematic interpretation, modified Poinsot method |
| Received |
25 May 2023 | Revised |
23 August 2023 | Accepted |
25 September 2023 |
| Link to Fulltext |
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