A new deployable truss structure for large caliber antennas was presented in this work. The deploying process of the deployable structure was studied using the Moore–Penrose generalized inverse matrix method, from which each deploying state of the deployable truss was obtained through numerical simulations. By the geometrical models output by the self-programmed procedure, dynamic characteristics of the deployable structure were investigated in the deploying process. Based on the sensitivity analysis of the eigenvalues of free vibrations, dynamic characteristics and optimal design and analysis of the deployable antenna truss structure were also carried out. As a case, a deployable pantograph was studied using sequential quadratic programming (SQP) optimization method. Finally, to obtain the minimum weight, the deployable structure was analyzed repeatedly and optimized until the dynamic constraints were satisfied. The analytical results illustrate that to obtain the maximal stiffness based on the optimal weight, the thickness of the cube-shaped cross sections tends to be the minimum, whereas the diameter to be the maximum. The methodology proposed in this paper provides an efficient way to achieve optimal design for other kinds of structures.

这项工作提出了一种用于大口径天线的新型可部署桁架结构。使用Moore-Penrose广义逆矩阵方法研究了可展开结构的展开过程，由此通过数值模拟获得了可展开桁架的每个展开状态。通过自编程过程输出的几何模型，在部署过程中研究了可部署结构的动态特性。在对自由振动特征值进行灵敏度分析的基础上，对可展开天线桁架结构进行了动力特性分析和优化设计分析。作为一个案例，使用顺序二次规划（SQP）优化方法研究了可展开的缩放仪。最后，为了获得最小的重量，反复分析和优化可部署结构，直到满足动态约束。分析结果表明，要基于最佳重量获得最大刚度，立方体形横截面的厚度趋于最小，而直径则趋于最大。本文提出的方法论为其他类型的结构提供了一种优化设计的有效方法。