Aiming at multi-state from a stowed state to a deployed one of a deployable space antenna,its static and dynamic structural performances were analyzed and its structural design was concluded into an optimization problem.Via constraining DOFs of active components,the influences of deployment driving were considered.Therefore,the variation laws of instantaneous structural eigenfrequencies in the deployment process were investigated.Then,a multi-state structural optimization model was built,the optimization objective was to minimize the antenna weight,the cross sectional areas of antenna components and the cable tension were selected as the design variables.Under the constraints of the minimum structural eigenfrequency,frequency preserve,and the structural strength,the optimization problem was solved and the optimal structural parameters were obtained.Tests and numerical simulation results demonstrated the correctness of the analysis model and the feasibility of this design method.%针对空间可展开天线从收拢态到展开态的多个工位，进行了动、静力性能分析并将其结构设计问题归纳为一个优化问题。通过主动件相应自由度的约束考虑了展开驱动的影响，从而可以准确获得展开过程不同工位固有频率的变化规律。进而，建立了以可展开天线单元横截面积和索张力为设计变量，以天线结构最低固有频率、频率禁区以及结构强度为约束，以结构重量（或质量）最轻为目标函数的多态结构优化模型。最终求解得到最优的天线结构设计参数。实验及数值分析结果验证了所建立分析模型的准确性和该设计方法的可行性。
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