 | | 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: | | 12854 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
|
| In English (Mech. Solids): | | 4810 |
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| << Previous article | Volume 51, Issue 4 / 2016 | Next article >> |
| Yu.M. Zabolotnov, "Application of the Integral Manifold Method to the Analysis of the Spatial Motion of a Rigid Body Fixed to a Cable," Mech. Solids. 51 (4), 371-384 (2016) |
| Year |
2016 |
Volume |
51 |
Number |
4 |
Pages |
371-384 |
| DOI |
10.3103/S0025654416040014 |
| Title |
Application of the Integral Manifold Method to the Analysis of the Spatial Motion of a Rigid Body Fixed to a Cable |
| Author(s) |
Yu.M. Zabolotnov (Samara National Research University, Moskovskoe sh. 34, Samara, 443086 Russia, yumz@yandex.ru) |
| Abstract |
We analyze the spatial motion of a rigid body fixed to a cable about its center of mass when the orbital cable system is unrolling. The analysis is based on the integral manifold method, which permits separating the rigid body motion into the slow and fast components. The motion of the rigid body is studied in the case of slow variations in the cable tension force and under the action of various disturbances. We estimate the influence of the static and dynamic asymmetry of the rigid body on its spatial motion about the cable fixation point. An example of the analysis of the rigid body motion when the orbital cable system is unrolling is given for a special program of variations in the cable tension force. The conditions of applicability of the integral manifold method are analyzed. |
| Keywords |
orbit, cable system, rigid body, motion about the center of mass, integral manifold method, precession, nutation, asymmetry |
| References |
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Integral Manifolds in Nonlinear Mechanics
(Nauka, Moscow, 1973)
[in Russian]. |
| 2. | A. B. Vasilieva and V. F. Butusov,
Asymptotic Expansions of Solutions of Singularly Perturbed Equations
(Nauka, Moscow, 1973)
[in Russian]. |
| 3. | V. V. Strygin and V. A. Sobolev,
Separation of Motions by the Method of Integral Manifolds
(Nauka, Moscow, 1988)
[in Russian]. |
| 4. | Yu. M. Zabolotnov,
"A Method for Analyzing the Resonance Motion of
a Nonlinear Oscillatory System,"
Izv. Akad. Nauk. Mekh. Tverd. Tela,
No. 1, 33-45 (1999)
[Mech. Solids (Engl. Transl.)
34 (1), 27-37 (1999)]. |
| 5. | Yu. M. Zabolotnov and V. V. Lyubimov,
"Application of the Method of Integral Manifolds
for Construction of Resonant Curves
for the Problem of Spacecraft Entry into the Atmosphere,"
Kosmich. Issled.
41 (5), 481-487 (2003)
[Cosmic Res. (Engl. Transl.)
41 (5), 453-459 (2003)]. |
| 6. | V. A. Yaroshevskii,
Motion of an Uncontrolled Body in the Atmosphere
(Mashinostroenie, Moscow, 1978)
[in Russian]. |
| 7. | V. M. Belokonov, I. V. Belokonov, and Yu. M. Zabolotnov,
"Method for Accelerated Modeling of Quasiperiodic Motion
of an Almost Axisymmetric Body in the Atmosphere,"
Izv. Akad. Nauk SSSR. Mekh. Tverd. Tela,
No. 2, 43-50 (1984)
[Mech. Solids (Engl. Transl.)]. |
| 8. | Yu. M. Zabolotnov and O. N. Naumov,
"Motion of a Descent Capsule Relative to Its Center
of Mass when Deploying the Orbital Tether System,"
Kosmich. Issled.
50 (2), 183-193 (2012)
[Cosmic Res. (Engl. Transl.)
50 (2), 177-187 (2012)]. |
| 9. | V. V. Beletskii and E. M. Levin,
Dynamics of Space Tether Systems
(Nauka, Moscow, 1990)
[in Russian]. |
| 10. | M. Kruiff,
Tethers in Space
(Delta-Utec Space Research, Netherlands, 2011). |
| 11. | S. A. Ishkov and E. M. Levin,
"Control of the Orbital Cable System Unrolling,"
Vestnik Samarsk. Gos. Univ.,
No. 1, 81-90 (2006). |
| 12. | L. D. Landau and E. M. Lifshits,
Theoretical Physics. Vol. 1: Mechanics
(Nauka, Moscow, 1988)
[in Russian]. |
| 13. | Yu. M. Zabolotnov and V. V. Lyubimov, "Non-Linear Resonance
Evolution Effects in the Motion of a Rigid Body about a Fixed
Point," Prikl. Mat. Mekh. 66 (3), 410-417 (2002) [J.
Appl. Math. Mech. (Engl. Transl.) 66 (3), 401-408
(2002)]. |
| 14. | V. M. Belokonov and Yu. M. Zabolotnov,
"Estimation of the Probability of Resonant Capture
of the Spacecraft Reentry Motion,"
Kosmich. Issled.
40 (5), 503-514 (2002)
[Cosmic Res. (Engl. Transl.)
40 (5), 467-478 (2002)]. |
|
| Received |
20 April 2014 |
| Link to Fulltext |
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