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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2017, Volume 58, Issue 5, Pages 190–200
DOI: https://doi.org/10.15372/PMTF20170519 (Mi pmtf672) 		 
This article is cited in 8 scientific papers (total in 8 papers)

Analytical modeling of the flexible rim of reflectors of space antennas

K. G. Okhotkinab, A. Yu. Vlasovc, Yu. V. Zakharovc, B. D. Annind

a Reshetnev Information Satellite Systems, Zheleznogorsk, 662972, Russia
b Krasnoyarsk Scientific Center, Siberian Branch, Russian Academy of Sciences, Krasnoyarsk, 660036, Russia
c Reshetnev Siberian State University of Science and Technology, Krasnoyarsk, 660014, Russia
d Lavrentyev Institute of Hydrodynamics of Siberian Branch of the Russian Academy of Sciences, Novosibirsk, 630090, Russia
Full-text PDF (1815 kB) Citations (8)
DOI: https://doi.org/10.15372/PMTF20170519
Abstract: This paper presents of an geometrically nonlinear analytical model of a flexible cylindrical frame (rim) of the transformable precision large-size reflector of space antennas made using polymer composite materials with form memory. A nonlinear boundary-value problem for the frame in a deformed (collapsed) state is formulated and exact analytic solutions in elliptic functions and integrals which describe the deformation modes of the rim. A geometrically nonlinear model us used to obtain exact analytical solutions which allow preliminary determination of the geometric dimensions and the optimal shape of the flexible frame and estimate the stored energy.
Keywords: flexible plate, geometric nonlinearity, antenna reflector, composite material.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 02.G25.31.0147
Received: 01.06.2017
English version:
Journal of Applied Mechanics and Technical Physics, 2017, Volume 58, Issue 5, Pages 924–932
DOI: https://doi.org/10.1134/S0021894417050194
Bibliographic databases:
Document Type: Article
UDC: 539.3
Language: Russian
Citation: K. G. Okhotkin, A. Yu. Vlasov, Yu. V. Zakharov, B. D. Annin, “Analytical modeling of the flexible rim of reflectors of space antennas”, Prikl. Mekh. Tekh. Fiz., 58:5 (2017), 190–200; J. Appl. Mech. Tech. Phys., 58:5 (2017), 924–932
Citation in format AMSBIB
\Bibitem{OkhVlaZak17}
\by K.~G.~Okhotkin, A.~Yu.~Vlasov, Yu.~V.~Zakharov, B.~D.~Annin
\paper Analytical modeling of the flexible rim of reflectors of space antennas
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2017
\vol 58
\issue 5
\pages 190--200
\mathnet{http://mi.mathnet.ru/pmtf672}
\crossref{https://doi.org/10.15372/PMTF20170519}
\elib{https://elibrary.ru/item.asp?id=30295646}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2017
\vol 58
\issue 5
\pages 924--932
\crossref{https://doi.org/10.1134/S0021894417050194}
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  • https://www.mathnet.ru/eng/pmtf/v58/i5/p190
    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Prikladnaya Mekhanika i Tekhnicheskaya Fizika Prikladnaya Mekhanika i Tekhnicheskaya Fizika
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