针对索网-桁架反射面天线结构中，索网张力确定的非线性问题，提出一种新的设计方法。建立以索网放样长度为设计变量、反射面精度为目标、强度为约束的优化模型。为克服太空中天线进出阴影区时出现的松弛索问题，特引入应变约束。为了降低该非线性优化模型的求解难度，将索应变与索网节点坐标在局部对索长进行线性近似，从而将高度非线性的优化模型转化为一系列的二次规划问题。通过某10 m口径的空间反射面天线的仿真算例验证了方法的有效性。

A new method is proposed to solve the nonlinear problem in pretension design of cable-truss spaceborne reflector antenna. An optimization model, in which the cable initial length is treated as design variables, the reflector surface error as the objective and structures stress as constraints is established to seek the initial equilibrium state. In order to overcome space antenna import and relaxation shadow area appears cable problems, especially the introduction of strain constraints. To solve this highly nonlinear optimization model, cable strain and the displacement of reflector nodes are treated as linear function of cable length in local region. The optimization models are transferred into a series of quadratic programming, which can be easily solved. A simulation of a 10 m space antenna illustrated the efficiency of the method proposed.