 | | 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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| V.D. Irtegov and T.N. Titorenko, "On the Stationary Motions of a Rigid Body with a Spherical Suspension," Mech. Solids. 60 (1), 146-159 (2025) |
| Year |
2025 |
Volume |
60 |
Number |
1 |
Pages |
146-159 |
| DOI |
10.1134/S0025654424605706 |
| Title |
On the Stationary Motions of a Rigid Body with a Spherical Suspension |
| Author(s) |
V.D. Irtegov (Matrosov Institute for System Dynamics and Control Theory of Siberian Branch of Russian Academy of Sciences, Irkutsk, 664033 Russia, irteg@icc.ru)
T.N. Titorenko (Matrosov Institute for System Dynamics and Control Theory of Siberian Branch of Russian Academy of Sciences, Irkutsk, 664033 Russia, titor@icc.ru) |
| Abstract |
We conduct the qualitative analysis of differential equations describing the rotation of a
dynamically asymmetric rigid body around a fixed point. The body is enclosed in a spherical shell, to
which one ball and one disk adjoin. The motion of the body by inertia and under the action of potential
forces is considered. It is established that in the absence of external forces, the differential equations
have the families of solutions corresponding to the equilibrium positions of the body, and in the case
of potential forces there exist manifolds of pendulum motions. For a number of the solutions, the necessary and sufficient conditions of the Lyapunov stability are derived. |
| Keywords |
rigid body, spherical suspension, nonholonomic joint, stationary motions, stability |
| Received |
28 February 2024 | Revised |
10 October 2024 | Accepted |
11 October 2024 |
| Link to Fulltext |
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