提出了一种新型双曲线直圆混合柔性铰链。利用卡氏第二定理推导出双曲线直圆混合柔性铰链的柔度计算公式, 并根据所推导的公式, 分析了直圆半径、最小厚度和切割深度对其柔度的影响。同时采用实体单元建立双曲线直圆混合柔性铰链的有限元模型, 对不同几何参数的铰链进行仿真分析, 并对仿真解与解析解进行对比。结果表明: 仿真解与解析解的最大误差在8%以内, 证明了所推导公式的正确性; 与不同形状的柔性铰链对比得出, 双曲线直圆混合柔性铰链具有更好的转动能力和对载荷较高的敏感性。所设计的新型双曲线直圆混合柔性铰链更适用于快速反射镜支撑结构中, 同时也为混合型柔性铰链的设计和优化提供了理论依据。

A novel hyperbolic-circular flexure hinge was presented. According to the Castigliano′s second theorem, the compliance calculations of the flexure hinge were derived. From the deduced equations, the effects of radius, minimum thickness and depth of cut on the hinge for flexibilities were deeply researched. Meanwhile, the finite element model of the flexible hinge was also built by adopting solid element, and then the simulations of different geometric parameters were obtained. Comparing simulations and analytical solutions explained that: the maximum error is below 8%, which verified the correctness of the equations. In addition, the comparisons on the flexibilities of flexure hinges with various shapes showed that: the hyperbolic-circular flexure hinge had better ability to rotate and higher sensitivity to load. Thus, the design of the new hyperbolic-circular flexure hinges in this paper is more suitable for support structure of Fast Steering Mirror and provides a theoretical basis for design and optimization of hybrid flexure hinges.