This article is cited in 8 papers

Analytical modeling of the flexible rim of reflectors of space antennas

K. G. Okhotkin^ab, A. Yu. Vlasov^c, Yu. V. Zakharov^c, B. D. Annin<sup>d

a</sup> 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

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.

UDC: 539.3

Received: 01.06.2017

DOI: 10.15372/PMTF20170519

 English version: Journal of Applied Mechanics and Technical Physics, 2017, 58:5, 924–932

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