单轴半蝶形柔性铰链在快速反射镜中的设计与应用

针对提高激光武器系统光束指向控制稳定精度的战术需求，设计了一款适用于光束指向快速反射镜的单轴半蝶形柔性铰链。首先，根据快速反射镜系统运动形式及功能需求，推演单轴半蝶形柔性铰链的物理模型；然后，采用基于卡氏第二定理的卡氏法简化并求解数学模型，并优化模型参数；最后进行有限元仿真与实验测试，并对单轴半蝶形柔性铰链机械谐振频率的理论计算、仿真分析以及实验测试结果进行分析比较。实验结果表明:单轴半蝶形柔性铰链工作方向机械谐振频率为165.29 Hz，满足设计指标要求。理论计算与实验测试结果相差1.3%，有限元仿真与实验测试结果相差3.2%。从而证明了单轴半蝶形柔性铰链结构形式合理，数学建模准确，为提高激光武器系统光束指向控制稳定精度提供了有力的支撑。

Design and application of bi-axial half-butterfly flexure hinges in fast steering mirrors

A bi-axial half-butterfly flexure hinge for an fast steering mirror （FSM） was presented to adapt high stability accuracy of beam-pointing control performance in laser weapon systems. According to the requirements of reciprocating movements and high bandwidth provided for the FSM, the solid model of the bi-axial half-butterfly flexure hinge was designed. By applying Castigliano’s displacement theorem, the numerical model was simplified and deduced. Furthermore, to quantify the numerical model, natural frequencies of the finite-element analysis and experiments were carried out, of which the results were compared with the analytic solutions. The experiment results show that the in-plane natural frequency is 165.29 Hz. The comparison shows that the error between numerical analytic and experimentation is 1.3%, and the error between FEA and experimentation is 3.2%. It is proven that the bi-axial half-butterfly flexure hinge is an appropriate structure as a guide mechanism for an FSM system.