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在实际工程应用背景下,基于实际材料参数测试结果,借助有限元分析手段系统分析了切口半径r和最薄切口部位厚度t对圆切口单轴柔性铰柔度系数和等效转动半径dc的影响趋势,并归纳总结出简化的圆切口单轴柔性弯曲变形计算模型。为验证该模型的可靠性,搭建了相应的实验装置。与实测值相比,简化模型的计算误差优于10%,可满足工程应用要求。在此基础上,提出了基于圆切口单轴柔性铰链的两轴反射镜柔性支撑结构简化计算模型,该模型可大大减少经典理论模型的计算工作量,为此类反射镜柔性支撑结构的参数化设计和尺寸优化提供了参考依据。
In practical engineering application background, based on the actual material parameter test results, the effect of the radius of cut r and the thickness t of the thinnest notch on the flexibility coefficient and the equivalent rotation radius dc of a circular uniaxial flexible hinge were systematically analyzed by means of finite element analysis Trend, and summed up a simplified circular incision uniaxial flexible bending deformation calculation model. To verify the reliability of the model, a corresponding experimental setup was set up. Compared with the measured value, the calculation error of the simplified model is better than 10%, which can meet the engineering application requirements. On this basis, a simplified computational model of flexible support structure of two-axis mirror based on round incision uniaxial flexible hinge is proposed, which can greatly reduce the computational workload of the classical theoretical model. For the parameterization of such a flexible support structure Design and size optimization provides a reference.