针对空间展开机构轻量化、小型化、简单化等的发展需求, 通过理论分析实例设计了碳纤维带状弹簧, 并结合有限元模拟及实验对其屈曲特性进行了研究。首先, 根据薄壳弯曲理论推导了各向异性材料下碳纤维带状弹簧的弯矩计算公式, 并分析了影响其屈曲特性的敏感参数; 然后, 针对工程需要进行了单根碳纤维带状弹簧的实例设计, 并建立了其有限元分析模型, 得出了其弯矩-转角曲线; 最后, 加工出了碳纤维带状弹簧实物并对其屈曲过程进行了实验研究。结果表明: 实验测得的该碳纤维带状弹簧的临界弯矩值为1 237.6 Nmm, 与理论分析及有限元模拟结果符合的较好, 最大误差为8.7%, 验证了理论分析及有限元模拟的准确性及一致性, 为之后碳纤维带状弹簧的设计及应用提供了理论依据及技术支持。

Subject to space development requirements such as lightweight, miniaturization and simplication, the carbon fibre reinforced plastic (CFRP) lenticular tape spring (LTS) was practically designed through theoretical analysis, and its buckling characteristics was studied by combining finite element analysis and experiments. The bending moment computing formula for CFRP LTS under different anisotropic materials was deduced according to bending theory of thin shells, and the sensitive parameters that affect LTS's buckling characteristics were analyzed. Secondly, subject to engineering needs, a practical design on single CFRP LTS was performed and the finite element model was established to obtain the bending moment-rotation angle curves. Finally, the real object of CFRP LTS was fabricated and an experiment was conducted to study its buckling process. The results show that the critical bending moment of such CFRP LTS is 1 237.6Nmm and the maximum error is 8.7%, which is much corresponding to theoretical analysis and the results of finite element simulation, such results verifies the accuracy and compliance of the theoretical analysis and finite element simulation, provides theoretical foundations and technical supports for subsequent design and application of CFRP LTS.