Analytical modeling of the flexible rim of space antenna reflectors


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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.

作者简介

K. Okhotkin

Reshetnev Information Satellite Systems; Krasnoyarsk Scientific Center, Siberian Branch

编辑信件的主要联系方式.
Email: okg2000@mail.ru
俄罗斯联邦, Zheleznogorsk, 662972; Krasnoyarsk, 660036

A. Vlasov

Reshetnev Siberian State University of Science and Technology

Email: okg2000@mail.ru
俄罗斯联邦, Krasnoyarsk, 660014

Yu. Zakharov

Reshetnev Siberian State University of Science and Technology

Email: okg2000@mail.ru
俄罗斯联邦, Krasnoyarsk, 660014

B. Annin

Lavrent’ev Institute of Hydrodynamics, Siberian Branch

Email: okg2000@mail.ru
俄罗斯联邦, Novosibirsk, 630090

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