Topology generation and optimization of boundary cable nets for the mesh reflector antenna
Topology generation and optimization of boundary cable nets for the mesh reflector antenna
复制标题
网状反射面天线边界电缆网的拓扑生成和优化
DOI：
10.1016/j.engstruct.2020.111630
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发表时间：
2021-02
影响因子：
5.5
通讯作者：
Xiaofei Ma
中科院分区：
文献类型：
--
作者：
Pengfei Yuan;Baiyan He;Lianhong Zhang;Hang Jiang;Rui Nie;Xiaofei Ma
网状反射面天线是一种理想的在轨大型可展开结构。面形精度和张力均匀性是其两个重要的性能指标，索网拓扑结构，特别是边界索网拓扑结构对张力均匀性和面形精度有很大的影响。边界索网拓扑结构可以随设计参数和支撑桁架的变化而变化。从大量的潜在拓扑结构中找到最合适的边界电缆网络拓扑结构是一项具有挑战性的任务。目前，同时考虑曲面精度和张力均匀性的拓扑生成研究较少。提出了一种适用于不同网格反射面天线的边界索网拓扑生成与优化方法。首先，基于图论中图和邻接矩阵的概念，提出了一种广义拓扑描述方法。其次，根据势边界索网拓扑生成的常识，提出了三个判据。基于平衡矩阵法，提出了以张力均匀性为优化目标的拓扑优化策略。最后给出了数值算例，结果表明优化后的边界索网拓扑结构具有较好的张力均匀性。
The mesh reflector antenna is an ideal large deployable structure for on-orbit service. Surface accuracy and tension uniformity are two important performance indicators of it. The cable net topology, especially boundary cable net topology has great effects on the tension uniformity and also surface accuracy. The boundary cable net topology can vary with the design parameters and supporting truss. Finding the most suitable boundary cable net topology from a large number of potential topologies is a challenging task. At present, topology generation considered both the surface accuracy and tension uniformity is seldom studied. In this paper, the boundary cable net topology generation and optimization method (BGO) which can be applied for different mesh reflector antennas is proposed. Firstly, a generalized topology description method is developed based on the concepts of graph and adjacency matrix in graph theory. Secondly, three criteria are proposed according to the common sense in the generation of potential boundary cable net topologies. Thirdly, the topology optimization strategy setting the tension uniformity as the optimization objective is proposed based on the equilibrium matrix method. Lastly, numerical examples are given, and the results show that with the optimized boundary cable net topologies, better tension uniformity is achieved.
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