小型反射镜柔性镜座柔度分析
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Flexibility analysis of mirror flexible lens seat
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    摘要:

    为了进行小型反射镜柔性镜座的柔度研究。首先利用伴随变换建立柔性镜座的柔度矩阵,推导出轴向、侧向某方向柔度分别为9.58×10-8m/N、1.38×10-8m/N,并用有限元分析软件MSC.Patran/Nastra仿真得到轴向柔度1.00×10-8m/N、侧向柔度1.33×10-8m/N。之后假设镜座与模拟镜之间连接处柔度矩阵为6×6对角阵。将此矩阵组合至镜座柔度理论模型中,得到侧向柔度关于连接处柔度矩阵对角线元素的表达式。通过对侧向柔度实验数据进行非线性拟合得到其数值,并计算出其正交方向与轴向柔度分别为4.039×10-7m/N、2.20×10-7m/N与实测值4.136×10-7m/N、2.25×10-7m/N 比较,分别相差9%、2%,证明了简化的正确性与方法的可行性。本文利用优化的方法对柔度实验数据进行了非线性拟合,避开了可能的各向异性等具体的物理性质,直接在数学上建立其柔度模型,同时,对工程中类似问题的求解提供了指导;本文对于柔性镜座的分析对于项目之后的分析与装调也有重要意义。

    Abstract:

    In order to study mirror flexible lens seat’s flexibility,the flexibility matrix of flexible lens seat is established by the adjoint transformation,the obtained axial and lateral flexibilities are 9.58×10-8m/N and 1.38×10-8m/N respectively,and the simulated axial and lateral flexibilities are 1.00×10-8m/N and 1.33×10-8m/N by using the finite element analysis software ANSYS.Assuming the flexibility matrix that locate between lens seat and simulation is 6×6 diagonal matrix,the matrix combination is applied to a mirror seat theory model,the expression of lateral flexibility about diagonal elements is gotten.The experimental data of lateral flexibility is nonlinear fitted,and its values are gotten,and the calculated axial and lateral flexibilities are 4.039×10-7m/N and 2.20×10-7m/N respectively.The difference between the analyzing results and the measured values are 9% and 2%.The flexibility experimental data is nonlinear fitted by using the optimized method,and the method avoids the physical properties such as anisotropy.The flexibility model is established directly in the mathematical model,and it provides a reference for solving the similar problems in project.

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引用本文

安其昌,张景旭,张丽敏.小型反射镜柔性镜座柔度分析[J].激光与红外,2013,43(7):785~789
AN Qi-chang, ZHANG Jing-xu, ZHANG Li-min. Flexibility analysis of mirror flexible lens seat[J]. LASER & INFRARED,2013,43(7):785~789

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