 | | 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
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| In English (Mech. Solids): | | 4760 |
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| I. I. Kosenko, "The stability of relative equilibria of an orbital linkage with impact interaction being taken into account," Mech. Solids. 39 (3), 1-4 (2004) |
| Year |
2004 |
Volume |
39 |
Number |
3 |
Pages |
1-4 |
| Title |
The stability of relative equilibria of an orbital linkage with impact interaction being taken into account |
| Author(s) |
I. I. Kosenko (Moscow) |
| Abstract |
The spatial problem of the stability of relative equilibria is solved for an orbital linkage the center of mass of which moves in a circular orbit. The particles that constitute the linkage are connected by a massless inextensible flexible tether. Apart from the force of attraction to the fixed gravitation center, these particles undergo elastic impacts at the instants when the tether becomes stretched. (These impacts prevent the particles from moving away from the common center of mass without limit along Keplerian orbits.) The vertical (in the orbital coordinate frame) equilibrium positions, which exist in the problem under consideration at the stretched tether, are considered. The reflection method for the description of the dynamics of mechanical systems with a unilateral constraint is applied for the stability analysis. |
| References |
| 1. | V. Ph. Zhuravlev, "Equations of motion of mechanical systems with ideal unilateral constraints," PMM [Applied Mathematics and Mechanics], Vol. 42, No. 5, pp. 781-788, 1978. |
| 2. | A. P. Ivanov, Dynamics of Systems with Mechanical Impacts [in Russian], Mezhdunarodnaya Programma Obrazovaniya, Moscow, 1997. |
| 3. | V. V. Beletskii, Essays on the Motion of Space Bodies [in Russian], Nauka, Moscow, 1977. |
| 4. | A. P. Ivanov, "On the stability in systems with unilateral constraints," PMM [Applied Mathematics and Mechanics], Vol. 48, No. 5, pp. 725-732, 1984. |
|
| Received |
12 December 2001 |
| << Previous article | Volume 39, Issue 3 / 2004 | Next article >> |
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