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针对空间平面薄膜天线，提出一种索膜边界建模及形状优化方法。首先，基于索膜结构在受张力作用 时边界处悬索与薄膜存在滑动的特点，提出一种非线性有限元建模方法。其次，将索膜边界视为B 样条曲线， 并以曲线控制点位移作为设计变量，通过优化结构实际应力与工程参考应力间的偏差，实现了对薄膜在任意 初始边界下的形状优化；最后通过数值算例与实验验证说明了方法的有效性。
Aiming at the space plane membrane antenna, a method of modeling the membrane boundary and shape optimization is proposed. First of all, based on the characteristics of the cable membrane structure sliding at the boundary under the action of tension, a nonlinear finite element modeling method is proposed. Secondly, the membrane boundary is regarded as a B-spline curve, and the displacement of the control point is used as the design variable. By optimizing the deviation between the actual stress of the structure and the reference stress of the project, the shape optimization of the membrane under any initial boundary is achieved. Finally Numerical examples and experimental verification show the effectiveness of the method.