 | | 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.M. Rozenblat and S.A. Reshmin, "On Optimal Rigid Body Rotation with Application of Internal Forces," Mech. Solids. 58 (8), 2779-2791 (2023) |
| Year |
2023 |
Volume |
58 |
Number |
8 |
Pages |
2779-2791 |
| DOI |
10.3103/S0025654423080174 |
| Title |
On Optimal Rigid Body Rotation with Application of Internal Forces |
| Author(s) |
G.M. Rozenblat (Moscow State Automobile and Road Technical University, Moscow, 125319 Russia, gr51@mail.ru)
S.A. Reshmin (Ishlinsky Institute for Problems in Mechanics, Russian Academy of Sciences, Moscow, 119526 Russia, reshmin@ipmnet.ru) |
| Abstract |
The article describes the result obtained for the problem of a rigid body’s maximum rotation
in a given time interval by moving a movable internal mass. The mass movement is achieved by applying limited force. Previously, similar problems were considered in which the displacements of internal
mass were assumed to be kinematic with restrictions on the point’s speed. The obtained result is
described by analytical, easily verifiable formulas. The optimal trajectory of the moving mass is a spiral
that coils around the center of mass of a rigid body with a frequency increasing to infinity. The
obtained numerical results relate to the design of other optimal trajectories that cannot be analyzed
analytically. |
| Keywords |
optimal control, Pontryagin’s maximum principle, rigid body dynamics |
| Received |
23 September 2023 | Revised |
10 October 2023 | Accepted |
15 October 2023 |
| Link to Fulltext |
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