切向双脚架-运动学支撑结构的柔度研究

为了实现高精度的运动学支撑结构的设计，研究了切向双脚架-运动学支撑结构的柔度。介绍了切向双脚架-运动学支撑结构的设计原理。根据单边直圆柔性铰链的柔度公式，推导了双脚架在X、Y和Z轴方向的等效柔度Cx、Cy和Cz的解析式。采用有限元分析和试验验证的方法，对双脚架的柔度解析式进行了分析验证。结果表明:解析式结果与有限元结果、试验结果基本一致，且误差均小于9.8%。研究了单边直圆柔性铰链的柔槽深度R和最小厚度t对双脚架柔度Cx、Cy和Cz的影响，得到了双脚架的等效柔度均与柔槽深度R成正比，与最小厚度t成反比的结论。为空间相机上的科学仪器的切向双脚架-运动学支撑结构的设计提供理论参考。

Research on compliance of tangent bipod kinematic mount

The compliance of the tangent bipod kinematic mount was investigated in order to realize the design of high precision kinematic mount. The design principle of the tangent bipod kinematic mount was introduced in detail. The equivalent compliances Cx, Cy and Cz of the bipod in the X-axis, Y-axis, and Z-axis directions were deduced based on the compliance equations of the single-axis right circular flexure hinge. The compliance equations of bipod were verified by the finite elements and experiments. The results show that the theoretical results are in agreement with the finite element results and experimental results, and the deviation is less than 9.8%. The influence of the flexible groove depth R and minimum thickness t on the compliances of the bipod was analyzed. It was concluded that the equivalent compliances Cx, Cy and Cz of the tangent bipod were proportional to the flexible groove depth R and inversely proportional to the minimum thickness t. It provides a theoretical reference for the design of tangent bipod kinematic mount which is widely used to support scientific instruments in space camera.