 | | 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: | | 13427 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8178
|
| In English (Mech. Solids): | | 5249 |
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| << Previous article | Volume 60, Issue 6 / 2025 | Next article >> |
| A.M. Shmatkov, "Using a Moving Mass to Change the Spatial Orientation of a Rigid Body Subject to Time-Dependent External Forces," Mech. Solids. 60 (6), 4365-4374 (2025) |
| Year |
2025 |
Volume |
60 |
Number |
6 |
Pages |
4365-4374 |
| DOI |
10.1134/S0025654425602198 |
| Title |
Using a Moving Mass to Change the Spatial Orientation of a Rigid Body Subject to Time-Dependent External Forces |
| Author(s) |
A.M. Shmatkov (Ishlinsky Institute for Problems in Mechanics RAS, Moscow, 119526 Russia, shmatkov@ipmnet.ru) |
| Abstract |
A mechanical system consisting of a rigid body and a material point is considered. They
interact with each other by means of internal forces whose physical nature is not defined. Both objects
are affected by external forces specified as functions of time. The task is to construct a trajectory for a
point mass such that the solid body, under the action of the force of interaction with this mass, changes
its orientation in space according to a predetermined program. Based on the theorem on the change
in the relative moment of momentum, a second-order vector differential equation, unresolved with
respect to the highest derivative, is obtained that describes the system. A change of variables is found
that allows replacing the original equation with a first-order vector differential equation resolved with
respect to the derivative. All special cases arising from the use of the new equation are considered. The
obtained relationships can be used to control spacecraft and robotic systems. |
| Keywords |
reorientation of a rigid body, moving point mass, spatial motion |
| Received |
30 April 2025 | Revised |
19 May 2025 | Accepted |
20 May 2025 |
| Link to Fulltext |
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