大口径长条形反射镜组件自重变形的仿真与试验

发布时间：2018-03-12 21:27

  本文选题：空间光学遥感器　切入点：大口径反射镜　出处：《光学精密工程》2016年06期 　论文类型：期刊论文

【摘要】：研究了空间光学遥感器的大口径长条形反射镜组件在自重载荷作用下的面形变化,实验验证和定量分析了Zernike多项式拟合法以及球面方程拟合法得到的仿真分析结果的精度。介绍了Zernike多项式拟合法以及球面方程拟合法的基本原理,分别用这两种算法对大口径长条形反射镜组件在自重载荷作用下的面形变化进行了仿真分析。根据误差合成原理,提出了依据翻转前后两个状态的面形检测结果计算镜面面形变化的方法;针对离轴反射镜在面形检测过程中存在离轴量与镜面像散互相补偿的现象,求解了离轴量变化量与镜面像散的关系。试验结果显示:Zernike多项式拟合法的计算精度为74.2%,而球面方程拟合法的计算精度为12.6%;对仿真分析结果的误差评价表明,采用有限元法得到的仿真分析结果的理论精度值为10%左右,与球面方程拟合方法的计算精度12.6%基本吻合。研究表明,由于Zernike多项式拟合法自身的局限性,不适合对长条形反射镜面形变化进行拟合,而球面方程拟合法的计算精度能够满足工程要求。
[Abstract]:Study on the change of surface shape of large aperture rectangular mirror component of space optical remote sensor under the action of self weight load, experimental verification and quantitative analysis of the simulation of Zernike polynomial fitting and spherical equation fitting method to get the accuracy of the results. This paper introduces Zernike polynomial fitting and quasi spherical equation the basic principle of legal, respectively the two algorithms of surface deformation of large aperture rectangular mirror component under the action of self weight load are simulated and analyzed. According to the principle of synthesis error, puts forward the calculation method of surface shape change of surface before and after the turnover of two state detection results; for off-axis reflector surface are off-axis with the mirror astigmatism compensates the phenomenon in the process of detection, the relationship between solving off-axis variation and mirror astigmatism. The experimental results show that Zernike polynomial fitting precision. 74.2% degrees, and the spherical equation calculation accuracy is 12.6% that of the legitimate; error evaluation of simulation results, the accuracy of the simulation results obtained by using the theory of finite element method, the value is about 10%, and the accuracy of the 12.6% fitting methods of spherical equation basically. Research shows that due to the Zernike polynomial fitting limitations that is not suitable for long strip mirror changes are fitted, and the spherical equation quasi legal calculation accuracy can meet the engineering requirements.

【作者单位】： 中国科学院长春光学精密机械与物理研究所;
【基金】：国家863高技术研究发展计划资助项目(No.2009AA7020107)
【分类号】：TP73
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本文编号：1603358