Abstract
Non-stationary rotational motion and nonlinear oscillations in the roll plane of a spacecraft with two elastic panels of solar batteries are considered. The spacecraft and sections of solar panels are considered to be non-deformable; they are interconnected by elastic-hinged joints that allow large angles of rotation. The spacecraft makes a turn about its axis as a solid body. Motion of elastic system under consideration is described in a connected coordinate system. Equations of motion are obtained on the basis of principle of possible displacements. Examples of numerical integration of a system of nonlinear differential equations with the analysis of convergence are given.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
L. V. Dokuchaev, Nonlinear Dynamics of Aircraft withDeformable Elements (Mashinostroenie, Moscow, 1987) [in Russia].
V. J. Modi and A. M. Ibrahim, “A Formulation for Studying Dynamics of N Connected Flexible Deployable Members,” Acta Astronautica. 16, 151–164 (1987).
B. Wie, N. Furumoto, A. K. Banerjee, and P. M. Barba, “Modeling and Simulation of Spacecraft Solar Array Deployment,” AIAA J. Guidance. Contr. Dyn. 9 (5), 593–598 (1986).
V. I. Panichkin, “Mathematical Modeling of the Dynamics of the Disclosure of a Multicuspid Solar Battery,” Izv. Akad. Nauk.Mekh. Tverd. Tela, No. 1, 177–180 (1992) [Mech. Solids (Engl. Transl.)].
V. I. Panichkin, “Mathematical Modeling of the Deformation Dynamics of a Multi-Leaf Solar Battery in the Process of Unfolding,” Izv. Akad. Nauk. Mekh. Tverd. Tela, No. 4, 183–190 (1992) [Mech. Solids (Engl. Transl.)].
S. V. Borzykh, Yu. N. Shchiblev, and N. S. Ososov, “Dynamics of the Disclosure of Large-Sized Solar Batteries,” Raketno-Kosm. Tekhn. Ser. 12, No. 1, 144–158 (2008).
A. V. Krylov and S. A. Churilin, “Modeling of the Disclosure of Solar Batteries of Various Configurations,” VestnikMGTU.Mashinostr. No. 1, 106–112 (2011).
V. V. Yudintsev, “Modeling of the Processes of Disclosure of Multi-Element Structures of Space Vehicles,” Polyot, No. 5, 28–33 (2012).
V. N. Bakulin, S. V. Borzykh, and I. R. Ilyasova, “Mathematical Modeling of the Process of Opening Multi- Tier Solar Cells,” Vestnik MAI 18 (3), 295–302 (2011).
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,” Izv. Akad. Nauk.Mekh. Tverd. Tela, No. 2, 109–117 (2011) [Mech. Solids (Engl. Transl.) 46 (2), 248–255 (2011)].
T. V. Grishanina, “Dynamics of controlled motion of elastic systems subject to finite displacements and rotations,” Izv. Akad. Nauk. Mekh. Tverd. Tela, No. 6, 171–186 (2004) [Mech. Solids (Engl. Transl.) 39 (6), 132–144 (2004)]
T. V. Grishanina and F. N. Shklyarchuk, Dynamics of Elastic Controlled Structures (Izdat. MAI, Moscow, 2007) [in Russian].
S. V. Russkikh, “Controlled Rotation of a Spacecraft with Elastic Panels of Solar Batteries,” Izv. Vyssh. Uchebn. Zaved.Mashinostr., No. 12, 89–97 (2016).
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © S.V. Russkikh, F.N. Shklyurchuk, 2018, published in Izvestiya Akademii Nauk, Mekhanika Tverdogo Tela, 2018, No. 2, pp. 34–43.
About this article
Cite this article
Russkikh, S.V., Shklyurchuk, F.N. Nonlinear Oscillations of Elastic Solar Panels of a Spacecraft at Finite Turn by Roll. Mech. Solids 53, 147–155 (2018). https://doi.org/10.3103/S0025654418020048
Received:
Published:
Issue Date:
DOI: https://doi.org/10.3103/S0025654418020048