空间可展开天线基本单元构型的数综合方法

为对金属网面可展开天线进行构型创新研究，提出了一种基于图论理论的金属网面可展开天线基本单元构型的数综合方法.根据基本单元的展开方式，总结出其运动链的特点，建立了运动链与拓扑图的转换关系，得到了4种基本单元的拓扑图模型.将拓扑图进行子图化分解，分析了构件的拓扑对称性.采用双色拓扑图分析了机架在不同位置时运动副的拓扑对称性，得到了满足拓扑要求的基本单元的构型总数.通过例子阐述了由拓扑图综合成机构的过程，并讨论了机构间的构型演化.算例及分析表明：该方法得到的构型总数可方便计算机自动综合软件建立拓扑图库，同时为宇航空间可展开机构理论的研究提供了借鉴与参考.

Number synthesis method for basic unit configuration of space deployable antenna

In order to perform the innovation research on the configuration for metal mesh deployable antenna,a number synthesis method based on graph theory for the basic unit configuration of metal mesh deployable antenna was proposed.According to the deployment modes of basic units,the characteristics of the kinematic chains were summarized,and the conversion relationship between the kinematic chain and topological graph was established.Four kinds of topological graph models for the basic units were obtained.The subgraph decomposition was conducted for the topological graph,and the topological symmetry of components was analyzed.The two-color topological graph was used to analyze the topological symmetry of kinematic pairs at different frame locations,and the total configuration number of basic units to meet the topological requirements was obtained.According to the examples,the synthesis process from topological graphs to mechanisms was described,and the configuration evolution between various mechanisms was discussed.The calculated example and analysis show that the total configuration number obtained with the proposed method is convenient for establishing the topological graph library with computer automatic synthesis software,and the method can provide the experience and reference for the theoretical research in the aerospace deployable mechanisms.