一种等张力空间索网结构找形方法

发布时间：2018-05-11 12:34

本文选题：等张力索网结构 + 找形方法　；参考：《西安电子科技大学学报》2015年01期

【摘要】：为设计出质量小、结构稳定的空间索网天线结构,给出了一种等张力索网结构找形的坐标迭代算法.将索网上的各节点看做只能在理想反射面上移动的点,并规定各段绳索中的张力是恒定的.各节点在合力的作用下运动,当作用在各节点上的合力逐渐减为零时,索网结构到达一种平衡状态,根据这一平衡状态可求出各段绳索的无应力长度.使用该算法对环形桁架索网天线计算模型进行了找形计算,并使用有限元法对找形得到的平衡状态进行验证,证明了该算法的正确性和可行性.同时将找形结果与极小范数法、等力密度这两种找形算法的结果进行了比较分析.分析结果表明,使用等张力找形算法得到的索网结构绳索张力的均匀性最好.文中所提的等张力找形算法可用于空间索网结构的找形.
[Abstract]:In order to design a space cable mesh antenna structure with small mass and stable structure, a coordinate iterative algorithm for shape finding of cable mesh structure with equal tension is presented. The nodes of the cable network are regarded as points that can only move on the ideal reflecting surface, and the tension in each segment of the rope is fixed. When the force acting on each node decreases to 00:00, the cable-net structure reaches a state of equilibrium, according to which the stress-free length of each segment of the rope can be obtained. The algorithm is used to calculate the shape finding of the cable mesh antenna of ring truss, and the balance state obtained by the shape finding is verified by the finite element method, which proves the correctness and feasibility of the algorithm. At the same time, the results of the shape finding method are compared with those of the minimal norm method and the equal force density algorithm. The analysis results show that the cable tension uniformity of cable mesh structure is the best by using the equal-tension shape finding algorithm. The contour finding algorithm proposed in this paper can be used for the shape finding of spatial cable-net structures.
【作者单位】：西安电子科技大学机电工程学院;西安空间无线电技术研究所;
【基金】：国家自然科学基金资助项目(11290154);国家自然科学基金资助项目(51375360) 中国博士后科学基金资助项目(2013M540773) 陕西省博士后科研资助项目
【分类号】：TU399

【参考文献】