为了满足空间任务对大口径及超大口径可展开天线的要求,根据天线背架与天线工作表面的形状特点,对抛物面型天线工作表面进行了球面拟合,提出了模块分层次拓扑的概念,分析了模块分层次拓扑的性质,给出了拓扑关系下模块数量的计算公式.在对平面进行正六边形模块划分的基础上,得到了平面关键点与其在球面投影的坐标关系,并基于齐次坐标变换方法,建立了单平面模块、多平面模块的正向拓扑几何模型,多平面模块的斜向拓扑几何模型,以及由六棱柱模块组成的构架式空间可展开天线背架的几何模型.通过算例对所建模型的分析及验证表明:该模型可以满足模块任意数量、任意大小的变化要求,能够实现模块间的无缝连接,从而为天线的结构设计以及背架展开状态的精度测量提供了理论参考.%To meet the requirements for large aperture and super large aperture deployable antennas in the space mission, according to the shape features between truss structure and mesh surface, the mesh surface with parabolic surface is fitted by spherical surface. The concept of hierarchical topology is proposed, and the properties of hierarchical topology are analyzed, then the formula for calculating the number of modules is given. On the basis of partitioning the regular hexagon modules in the plane, the coordinate relationship between any key point and its spherical projection is obtained. With the homogeneous coordinate transformation method, three geometry models of single plane module, multi-module positive topology and multi-module oblique topology are established. The geometry model of truss structure for space deployable truss antenna with hexagonal prism modules is constructed. The examples show that this model can meet the requirements for any number and any size module to realize the seamless connection of modules,which provides a theoretical reference for design and precision measurement of truss structure.
展开▼
