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中文摘要：
基于悬索的弹性悬链线方程建立了大射电望远镜索支撑系统的静力学模型，在此基础上根据索端张力与舱体位移之间的非线性关系推导出系统的静态刚度矩阵，进而得到扭转刚度的解析表达式。为提高扭转刚度，该文提出在舱体上安装一星形支架并对支架的结构参数进行了优化。计算结果表明：适当选择星形支架的结构参数能够极大地提高系统的扭转刚度。
英文摘要：
The static mechanical model of a cable-supporting system for Large Radio Telescope is derived on the basis of the elastic expression of a catenary. From the model, the static stiffness matrix is deduced according to the nonlinear relationship between the end force of the cable and the cabin displacement, and then we obtain the analytical expression for twist stiffness. In order to enhance the twist stiffness, a method adding a star-shaped frame on cabin is proposed and the structural parameters of the star-shaped frame are optimized. The numerical result shows that a star-shaped frame with proper parameters will enhance the twist stiffness significantly.
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