Mathematical relationship between mean cable tensions and structural parameters of deployable reflectors

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• 作者：Tuanjie Li ; ^{tjli888@126.com" class="auth_mail" title="E-mail the corresponding author} ; Hanqing Deng ; Yaqiong Tang
• 关键词：Reflector antennas ; Projection method ; Cable net structures ; Pretension design ; Modified plane projection method
• 刊名：Aerospace Science and Technology
• 出版年：2016
• 出版时间：September 2016
• 年：2016
• 卷：56
• 期：Complete
• 页码：205-211
• 全文大小：931 K

文摘

The main purpose of the paper is to investigate the effects of structural parameters of deployable reflectors on their mean cable tensions. The proportional relations between spatial and plane cable nets are firstly explored on the basis of projection principle. By the means of obtained proportional relations, the analytical expressions between the mean spatial cable tensions and structural parameters of deployable reflectors including aperture, subdivision number and focal length are then derived. In the following, a modified plane projection method is proposed for pretension design of offset reflectors. Finally, numerical simulations are taken to verify the analytical expressions, as well as the modified plane projection method. The results show that the mean spatial cable tensions are predicted accurately by the analytical expressions, and uniform tension distribution is obtained by the modified plane projection method. With the applications of the analytical expressions and the modified plane projection method, the cable tensions can be controlled more flexible and convenient in engineering applications.