 | | 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
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| In English (Mech. Solids): | | 4810 |
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| T.V. Grishanina and F.N. Shklyarchuk, "Dynamics of Plane Motion of a Body with a System of Flexible Inextensible Rods Connected in Series by Elastoviscous Joints at Large Angles of Rotation," Mech. Solids. 46 (2), 248-255 (2011) |
| Year |
2011 |
Volume |
46 |
Number |
2 |
Pages |
248-255 |
| DOI |
10.3103/S0025654411020130 |
| Title |
Dynamics of Plane Motion of a Body with a System of Flexible Inextensible Rods Connected in Series by Elastoviscous Joints at Large Angles of Rotation |
| Author(s) |
T.V. Grishanina (Moscow Aviation Institute (State University of Aerospace Technologies), Volokolamskoe sh. 4, GSP-3, A-80, Moscow, 125993 Russia, grishaninatat@list.ru)
F.N. Shklyarchuk (Moscow Aviation Institute (State University of Aerospace Technologies), Volokolamskoe sh. 4, GSP-3, A-80, Moscow, 125993 Russia, shklyarchuk@list.ru) |
| Abstract |
The principle of virtual displacements is used to obtain the equations of plane motion, in generalized coordinates, of a free rigid body with a system of flexible inextensible rods connected in series by elastoviscous joints at large angles of rotation. Each rod rotates as a line connecting its ends and bends according to two given shapes. The imposition of the kinematic conditions of inextensibility of the rods ensures that the mathematical model of the system does not contain oscillations caused by longitudinal vibrations of the rods. This fact improves the computational stability of the system.
As an example, the dynamic analysis of unfolding of a system consisting of five identical rigid rods connected by elastic joints is carried out. The system is initially in vertical position and is folded up. To allow the system to come to a given state, highly rigid clamps with viscous damping are used, which are switched on under certain restrictions on the rotation angles. |
| Keywords |
rod system, cable system, elastoviscous joints, nonlinear equations of motion, large displacements |
| References |
| 1. | V. A. Svetlitsky,
Mechanics of Rods, Vol. 2: Dynamics
(Vysshaya Shkola, Moscow, 1987)
[in Russian]. |
| 2. | V. A. Svetlitsky,
Mechanics of Absolutely Flexible Rods
(Izd-vo MAI, Moscow, 2001)
[in Russian]. |
| 3. | L. V. Dokuchaev,
Nonlinear Dynamics of Aircraft with Deformable Elements
(Mashinostroenie, Moscow, 1987)
[in Russian]. |
| 4. | F. N. Shklyarchuk,
"Nonlinear and Linearized Equations of Motion for Elastic Space Structures,"
Izv. Akad. Nauk. Mekh. Tverd. Tela,
No. 1, 161-175 (1996)
[Mech. Solids (Engl. Transl.)
31 (1), 141-153 (1996)]. |
| 5. | A. N. Danilin, T. V. Grishanina, F. N. Shklyarchuk, and D. V. Buzlaev,
"Dynamics of a Space Vehicle with Elastic Deploying Tether,"
Computer and Struct.,
No. 72, 141-147 (1999). |
| 6. | T. V. Grishanina and F. N. Shklyarchuk,
Dynamics of Elastic Controllable Structures
(Izd-vo MAI, Moscow, 2007)
[in Russian]. |
| 7. | T. V. Grishanina and F. N. Shklyarchuk,
"Dynamics of Deployment of Multielement Plane Rod and Cable Systems,"
in Proc. 2nd Intern. Conf. "Problems of Nonlinear Mechanics of Solids"
(Izd-vo Kazan. Gos. Univ., Kazan, 2009),
pp. 142-144
[in Russian]. |
|
| Received |
12 January 2011 |
| Link to Fulltext |
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