This paper proposes a double-level guyed membrane antenna for stiffness improvement of a large-scale tri-prism deployable mast using the collapsible tubular mast (CTM). Initially, the construction of the antenna and the modeling of the CTM boom are illustrated. Afterwards, the central mast with isosceles triangular cross section is mathematically equivalent to a continuum beam, in which the equations of motion and the constitutive relations are derived. Based on the equivalent central beam, the double-level guyed mast for the membrane antenna is modeled as a 2(3-SPS-S) mechanism, and then velocity Jacobian matrices and stiffness matrices of SPS branches are constructed. Additionally, the total stiffness matrix of the equivalent mechanism is derived with the principle of virtual work and then evaluated as an accurate approach. Finally, with the aim to improve the static stiffness of the double-level guyed mast, the numerical analysis using the Genetic Algorithm (GA) is carried out for optimizing the distribution of guys in terms of anchor positions and attachment heights.

中文翻译：

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大型膜天线双层拉杆的建模与分析

本文提出了一种双层拉膜天线，用于使用可折叠管状桅杆（CTM）来提高大型三棱镜可展开桅杆的刚度。首先，说明了天线的结构和CTM吊杆的建模。然后，具有等腰三角形横截面的中央桅杆在数学上等效于连续光束，在该连续光束中，得出了运动方程和本构关系。基于等效中心波束，将膜天线的双层拉杆建模为2（3-SPS-S）机构，然后构造SPS分支的速度雅可比矩阵和刚度矩阵。此外，等效机构的总刚度矩阵是根据虚拟功原理导出的，然后作为精确方法进行评估。最后，