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。
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.
出处
《工程力学》
EI
CSCD
北大核心
2009年第4期252-256,共5页
Engineering Mechanics
基金
国家自然科学基金跨科学部交叉重点项目巨型射电天文望远镜(FAST)总体设计与关键技术研究项目(10433020)
国家自然科学基金面向雷达伺服系统结构-控制综合设计的研究项目(50775170)
关键词
索支撑系统
悬链线
扭转刚度
优化
星形支架
cable-supporting system
catenary
twist stiffness
optimization
star-shaped frame
