This paper presents an automatic finite element simulation scheme accounting for high geometric nonlinearity and the difference between linear and nonlinear buckling of composite thin-walled lenticular tubes (CTLTs). Parameterizing of cross-section shapes and generation of design space for CTLTs with both circular and parabolic arcs were accomplished, and several key factors were identified, in particular the contrary effect of lumbus length and parabolic coefficient on the bending stiffness anisotropy. The first quantitative comparison of triangular rollable and collapsible (TRAC) booms and CTLTs is given in terms of bending performance in two directions, showing that the optimal CTLT carefully selected from the design space demonstrates a comparable or even better performance than the TRAC boom. This is of great importance from both academic and engineering perspectives. Our efforts enhance the understanding of nonlinear buckling and post-buckling behavior of CTLTs, and provide guidelines for future design of CTLTs with desirable performance.

本文提出了一种自动有限元模拟方案，该方案考虑了高几何非线性以及复合薄壁透镜管 (CTLT) 的线性和非线性屈曲之间的差异。完成了具有圆形和抛物线弧的 CTLT 的横截面形状的参数化和设计空间的生成，并确定了几个关键因素，特别是腰椎长度和抛物线系数对弯曲刚度各向异性的相反影响。从两个方向的弯曲性能方面给出了三角形可卷和可折叠 (TRAC) 臂架和 CTLT 的首次定量比较，表明从设计空间中精心挑选的最佳 CTLT 显示出与 TRAC 臂架相当甚至更好的性能。从学术和工程的角度来看，这都非常重要。我们的努力增强了对 CTLT 非线性屈曲和后屈曲行为的理解，并为未来具有理想性能的 CTLT 设计提供指导。