Email this article Analytical modeling of the flexible rim of space antenna reflectors
- Authors: Okhotkin K.G.1,2, Vlasov A.Y.3, Zakharov Y.V.3, Annin B.D.4
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Affiliations:
- Reshetnev Information Satellite Systems
- Krasnoyarsk Scientific Center, Siberian Branch
- Reshetnev Siberian State University of Science and Technology
- Lavrent’ev Institute of Hydrodynamics, Siberian Branch
- Issue: Vol 58, No 5 (2017)
- Pages: 924-932
- Section: Article
- URL: https://journals.rcsi.science/0021-8944/article/view/160404
- DOI: https://doi.org/10.1134/S0021894417050194
- ID: 160404
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Abstract
This paper presents a geometrically nonlinear analytical model of the flexible cylindrical rim of a deployable precision large space antenna reflectors made of shape-memory polymer composites. A nonlinear boundary-value problem for the rim in the deformed (folded) configuration is formulated and exact analytical solutions in elliptic functions and integrals describing the deformation modes of the rim are obtained. Exact analytical solutions based on the geometrically nonlinear model are obtained and can be used to determine preliminary geometric dimensions and optimal shape of the flexible rim along with the estimation of the accumulated energy.
About the authors
K. G. Okhotkin
Reshetnev Information Satellite Systems; Krasnoyarsk Scientific Center, Siberian Branch
Author for correspondence.
Email: okg2000@mail.ru
Russian Federation, Zheleznogorsk, 662972; Krasnoyarsk, 660036
A. Yu. Vlasov
Reshetnev Siberian State University of Science and Technology
Email: okg2000@mail.ru
Russian Federation, Krasnoyarsk, 660014
Yu. V. Zakharov
Reshetnev Siberian State University of Science and Technology
Email: okg2000@mail.ru
Russian Federation, Krasnoyarsk, 660014
B. D. Annin
Lavrent’ev Institute of Hydrodynamics, Siberian Branch
Email: okg2000@mail.ru
Russian Federation, Novosibirsk, 630090
