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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}
Linking options:
  • https://www.mathnet.ru/eng/pmtf672
  • https://www.mathnet.ru/eng/pmtf/v58/i5/p190
    • This publication is cited in the following 8 articles:
    1. Mariyam Sattar, Naveed Ur Rehman, Naseem Ahmad, “Design, kinematics and dynamic analysis of a novel double – scissors link deployable mechanism for space antenna truss”, Results in Engineering, 22 (2024), 102251  crossref
    2. Bo Han, Yuxian Yao, Yuanzhi Zhou, Yundou Xu, Jiantao Yao, Yongsheng Zhao, “Kinematic and dynamic characteristics' analysis of a scissor multi-rod ring deployable mechanism”, Mech. Sci., 14:1 (2023), 193  crossref
    3. E. V. Karpov, A. Yu. Larichkin, B. D. Annin, “Shape Memory Effect in a Composite Layered Shell of Complex Shape”, Mech. Solids, 57:8 (2022), 1964  crossref
    4. Huiyang Zhao, Hao Wang, Hongliang Guo, You Wu, Chengyue Sun, Hui Yu, Xinyu Cui, Yiyong Wu, Bin Guo, “Degeneration and damage mechanism of Pseudomorphic Glass under 170 keV proton irradiation”, Vacuum, 194 (2021), 110607  crossref
    5. E. V. Moskvichev, A. Yu. Larichkin, “Study of the Functional and Mechanical Properties of a Shape Memory Polymer Composite for a Space Antenna Reflector”, Inorg Mater, 57:15 (2021), 1491  crossref
    6. Egor V. Moskvichev, Alexey Yu. Larichkin, “Experimental study of the functional and mechanical properties of shape memory polymer composites for a reflector of the space antenna”, Zavod. lab., Diagn. mater., 86:1 (2020), 51  crossref
    7. Xin Lan, LiWu Liu, FengHua Zhang, ZhengXian Liu, LinLin Wang, QiFeng Li, Fan Peng, SiDa Hao, WenXu Dai, Xue Wan, Yong Tang, Mian Wang, YanYan Hao, Yang Yang, Cheng Yang, YanJu Liu, JinSong Leng, “World's first spaceflight on-orbit demonstration of a flexible solar array system based on shape memory polymer composites”, Sci. China Technol. Sci., 63:8 (2020), 1436  crossref
    8. Bo Han, Yundou Xu, Jiantao Yao, Dong Zheng, Yongjie Li, Yongsheng Zhao, “Design and analysis of a scissors double-ring truss deployable mechanism for space antennas”, Aerospace Science and Technology, 93 (2019), 105357  crossref
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