直圆抛物线复合铰链柔度研究

提出了一种新型柔性铰链:双边直圆抛物线复合铰链，建立了其理论结构模型，利用卡氏第二定理及微积分理论对铰链的主要性能指标柔度和转动精度进行计算，并取实际参数对柔度及转动精度进行了理论计算及有限元分析，同时对影响铰链性能的结构参数进行研究，结果表明:铰链柔度及转动精度的理论值与有限元分析值相比较，一致性大于92%，且铰链柔度随最小切割厚度t的变化最大。作为一种新型铰链与其他柔性铰链进行了对比，直圆抛物线铰链融合了直圆铰链与抛物线铰链的优点，当cL/2时，铰链具有较强的转动性能及较弱的载荷敏感性，且热适应能力更强。所设计的直圆抛物线铰链为包括空间环境使用的支撑结构柔节的设计提供了指导。

Research on compliance of compound circular-parabolic hinges

A new type of flexible hinges was proposed, which were double sided circular-parabolic hinges. The theoretical structure model of the hinges was established. The Castigliano's second theorem and calculus theory were used to calculate the main performance indexes that were compliance and rotational accuracy of the hinges. The theoretical calculation and finite element analysis of the compliance and rotational accuracy were carried out. At the same time, the structural parameters that affected the hinges' performance were studied. The results show that the theoretical values of compliance and rotational accuracy were better than those of the finite element analysis, and the consistency was greater than 92%. And the minimum cutting thickness t had the greatest influence on the change of hinges' compliance. As a new type of hinge, compared with other flexible hinges, the circular-parabolic hinges combined the advantages of straight circular hinges and parabolic hinges. At that time, the hinges had stronger rotation performance and weaker load sensitivity, and the thermal adaptability was stronger. The design of the circular-parabolic hinges provids guidance for the design of the support structure including using in the space environment.