A bi-axial centralized butterfly flexure hinge for a fast steering mirror (FSM) was presented to adapt highly stabile accuracy of beam-pointing control performance in space laser communication. According to the requirements of two-dimensional reciprocating movements and high bandwidth provided for the FSM, the solid model of the bi-axial centralized 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 (FEA) and experiments were carried out the results of which were compared with the analytic solutions. The experimental results show that the in-plane natural frequencies are 66.37 and 112.2 Hz, respectively. The comparison shows that the errors between numerical analytic and experimentation are 3.0% and 1.4%, respectively, and errors between FEA and experimentation are 1.7% and 2.4%, respectively. It is proven that the bi-axial centralized butterfly flexure hinge we built is an appropriate structure as a two-axis guide mechanism in two-dimensions for an FSM system with a large bandwidth of 225 Hz.

中文翻译：

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快速转向镜双轴集中式蝶形挠性铰链的设计与分析

提出了一种用于快速转向镜（FSM）的双轴集中式蝶形挠性铰链，以适应空间激光通信中光束指向控制性能的高度稳定精度。根据为FSM提供的二维往复运动和高带宽的要求，设计了双轴集中式蝶形挠性铰链的实体模型。通过应用卡斯蒂利亚诺位移定理，简化并推导了数值模型。此外，为了量化数值模型，进行了有限元分析（FEA）的固有频率和实验，并将其结果与解析解进行了比较。实验结果表明，平面内固有频率分别为66.37和112.2 Hz。比较表明，数值分析与实验之间的误差分别为3.0％和1.4％，有限元分析与实验之间的误差分别为1.7％和2.4％。事实证明，对于具有225 Hz大带宽的FSM系统，我们构建的双轴集中式蝶形挠性铰链是二维的双轴导向机构的合适结构。