 | | 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: | | 11223 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8011
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| In English (Mech. Solids): | | 3212 |
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| Yu.M. Zabolotnov and D.V. Elenev, "Stability of Motion of Two Rigid Bodies Connected by a Cable in the Atmosphere," Mech. Solids. 48 (2), 156-164 (2013) |
| Year |
2013 |
Volume |
48 |
Number |
2 |
Pages |
156-164 |
| DOI |
10.3103/S0025654413020064 |
| Title |
Stability of Motion of Two Rigid Bodies Connected by a Cable in the Atmosphere |
| Author(s) |
Yu.M. Zabolotnov (Korolyov Samara State Aerospace University, Moskovskoe sh. 34, Samara, 443086 Russia, yumz@yandex.ru)
D.V. Elenev (Korolyov Samara State Aerospace University, Moskovskoe sh. 34, Samara, 443086 Russia, elenev@ssau.ru) |
| Abstract |
The spatial motion of two rigid bodies connected by a weightless inextensible cable in the atmosphere is considered. They are assumed to be bodies of revolution with static and dynamic symmetry. The condition of static stability of the system angular motion with respect to the direction of the incident airflow velocity vector is written out and analyzed. The influence of gyroscopic terms and damping moments on the stability condition is studied. An example of analysis of motion in the atmosphere of two connected bodies that are cones with a spherical tip is given. It is shown that the stable motion in the atmosphere can always be ensured by an appropriate matched choice of the parameters of the entire system on the basis of the obtained stability conditions. A numerical example of estimating the cable tension forces arising as the system descends on a ballistic trajectory in the atmosphere is presented. |
| Keywords |
stability, motion, atmosphere, cable, rigid body, system, moment, frequency |
| References |
| 1. | Yu. M. Zabolotnov and D. V. Elenev,
"Motion in an Atmosphere of Tether System "Landing Module-Aerodynamic Stabilizer,"
Izv. Samar. Nauchn. Tsentra Ross. Akad. Nauk
8 (3), 833-840 (2006). |
| 2. | A. A. Dmitrievskii, L. N. Lysenko, and S. S. Bogodistov,
Exterior Ballistics
(Mashinostroenie, Moscow, 1991)
[in Russian]. |
| 3. | A. Khaifeks and V. Sarik,
"Studies of Rotating Asymmetric Bodies with Nonlinear Aerodynamic Characteristics,"
Raketn. Tekhn. Kosm.
10 (8), 38-47 (1972). |
| 4. | Yu. M. Zabolotnov,
"Asymptotic Analysis of Quasilinear Equations of Motion of a Spacecraft with Small Symmetry
in the Atmosphere,"
Kosmich. Issled.
31 (6), 39-50 (1993)
[Cosmic. Res. (Engl. Transl.)]. |
| 5. | A. A. Shilov and A. F. Vasiliev,
"Dynamic Stability of Aircraft Spatial Motion at Large Angles of Attack
for Some Types of Inertial-Aerodynamic Asymmetry,"
Trudy TsAGI,
No. 1345 (1971). |
| 6. | D. R. Merkin,
Introduction to Theory of Stability of Motion
(Nauka, Moscow, 1971)
[in Russian]. |
| 7. | N. S. Arzhanikov and G. S. Sadekova,
Aerodynamics of Aircrafts
(Vysshaya Shkola,, Moscow, 1983)
[in Russian]. |
| 8. | V. A. Yaroshevskii,
Motion of Uncontrolled Bodies in the Atmosphere
(Mashinostroenie, Moscow, 1978)
[in Russian]. |
|
| Received |
31 October 2010 |
| Link to Fulltext |
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