 | | 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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| A.P. Blinov, "Problem of Unwinding of a Rotating Cluster of Bodies under Zero Gravity," Mech. Solids. 50 (3), 256-259 (2015) |
| Year |
2015 |
Volume |
50 |
Number |
3 |
Pages |
256-259 |
| DOI |
10.3103/S0025654415030036 |
| Title |
Problem of Unwinding of a Rotating Cluster of Bodies under Zero Gravity |
| Author(s) |
A.P. Blinov (Timiryazev Moscow Agriculture Academy, Russian State Agricultural University, ul. Timiryazevskaya 49, Moscow, 127550 Russia, blinovap@gmail.com) |
| Abstract |
The problem of unwinding, under zero gravity, of a pair of dynamically identical bodies (dumbbell-shaped spacecraft) connected by an inextensible weightless film wound as a roll around the cylindrical surfaces of the bodies is considered. In the prelaunch position, the axes of these surfaces are parallel to each other and equidistant from the cluster rotation axis. The film winding direction is consistent with the direction of the cluster rotation so that, after the holding locks are opened, the bodies begin to move away from each other under the action of centrifugal forces, thus pulling and unwinding the film. It is assumed that the film median passes through the cluster center of mass. A pair of cords bounding an imaginary film can be used instead of the actual film as well.
Some basic relations between the cluster motion parameters in the unwinding process are obtained.
A scheme for describing the unwinding of clusters of any number of dynamically identical polygon-shaped bodies is proposed. |
| Keywords |
cluster of bodies, kinematics, trajectory |
| References |
| 1. | N. G. Chetaev,
Stability of Motion
(Gostekhizdat, Moscow-Leningrad, 1946)
[in Russian]. |
| 2. | V. Ph. Zhuravlev,
"On Stability of Steady-State Motions of a Plane Body in the Field of a Central Force,"
Izv. Akad. Nauk SSSR. Mekh. Tverd. Tela,
No. 4, 71-76 (1983)
[Mech. Solids (Engl. Transl.)]. |
| 3. | L. D. Akulenko and D. D. Leshchenko, "Relative Oscillations and Rotations of a Plane Hinged Cluster of Two Solids,"
Izv. Akad. Nauk SSSR. Mekh. Tverd. Tela, No. 2, 8 (1991) [Mech. Solids (Engl. Transl.)]. |
|
| Received |
20 November 2012 |
| Link to Fulltext |
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