中文摘要：

基于从平面单元到凸多面体空间单元拓扑映射的约束条件,以特征角点坐标作为变量,建立双边凸多面体约束方程组,求特征角点径长的变异系数的极小值,实现多边形构型凸多面体的球形优化,从而建立了一种可实现多边形构型双边球形凸多面体系列化构建的解析计算方法。将旋转对称性双边球形凸多面体对应的大矢跨比球冠应用于天线罩,具有以下显著优势：球形网壳结构具有良好的力学性能;由于多边形网格具有平面性,因此透波窗口便于做成薄膜单层形式,这是有利于天线罩取得良好电磁性能的因素。

英文摘要：

A calculation method that would enable the serial construction of convex spherical bilateral polyhedrons has been proposed. This kind of polyhedron could be achieved by calculating the minimum of the variable coefficient of the Jingchang of feature vertexes under the constraint of convex spherical bilateral polyhedral equations, which sets the coordinates of feature vertexes as variables and is based on constraint conditions of topological mapping from the plane element to the spatial element of a convex polyhedron. Spherical caps corresponding to convex spherical bilateral polyhedrons with large rise-span ratio, might be applied to radomes for its advantages, as spherical lattice shells have excellent mechanical properties. The windows for wave-transparent of radomes might be single thin films for all grids are plane, which would be benefit for the electromagnetic property of radomes.