Volume 11 Issue 4
Jul.  2018
Turn off MathJax
Article Contents
ZHAO Xiao-dong, WANG Jing. Analysis of the mirror deformation of one-meter theodolite protective window[J]. Chinese Optics, 2018, 11(4): 654-661. doi: 10.3788/CO.20181104.0654
Citation: ZHAO Xiao-dong, WANG Jing. Analysis of the mirror deformation of one-meter theodolite protective window[J]. Chinese Optics, 2018, 11(4): 654-661. doi: 10.3788/CO.20181104.0654

Analysis of the mirror deformation of one-meter theodolite protective window

doi: 10.3788/CO.20181104.0654

National Nature Science Foundation of China No.11403064

More Information
  • Corresponding author: WANG Jing, E-mail:wangjing@ciomp.an.cn
  • Received Date: 26 Dec 2017
  • Rev Recd Date: 05 Feb 2018
  • Publish Date: 01 Aug 2018
  • In order to accurately analyze the mirror deformation of the one-meter theodolite protective window under exterior loads, the model of one-meter theodolite protective window is built on the base of frictional contact finite element theory, the differences between linear rigid joint and nonlinear frictional contact simulation methods are compared. Homogeneous coordinate transformation method is used to remove the rigid body displacement, and the mirror distortion data of the protection window of the meter-caliber theodolite is obtained. The Zernike polynomial is used as an interface tool for the integrated optomechanical analysis, and Zernike polynomial coefficients are introduced into ZEMAX. The effect of mirror distortion on image quality is measured by the RMS value of wavefront aberration, and is compared with the results of the interferometer test. The RMS value of the mirror wavefront aberration is 38.095 nm and the PV is 205.027 nm. The RMS value of the wavefront aberration is 40.626 nm and the PV is 235.654 nm. The experimental results show that the deviation of the RMS value of the specular wavefront aberration between the simulation experiment and the interferometer detection experiment considering the frictional contact condition is 6.23%, thus more accurately reflect the mirror deformation of the meter-level aperture protection window.


  • loading
  • [1]
    尤锐, 王晶, 王文革, 等.大口径测量系统主反射镜装调及精度分析[J].长春理工大学学报(自然科学版), 2008, 31(3):20-23. https://www.wenkuxiazai.com/doc/73ff6f82daef5ef7ba0d3c18.html

    YOU R, WANG J, WANG W G, et al.. Adjustment and error analysis of the large mirror of test system[J]. Journal of Changchun University of Science and Technology(Natural Science Edition, 2008, 31(3):20-23.(in Chinese) https://www.wenkuxiazai.com/doc/73ff6f82daef5ef7ba0d3c18.html
    刘莹奇, 王志, 刘欣悦, 等.米级车载高分辨率光电成像系统光学设计[J].红外与激光工程, 2011, 40(8):1512-1516. https://wenku.baidu.com/view/72be830b03d8ce2f00662344.html

    LIU Y Q, WANG ZH, LIU X Y, et al.. Optical design of vehicle-based high resolution E-O imaging system using meter class telescope[J]. Infrared and Laser Engineering, 2011, 40(8):1512-1516.(in Chinese) https://wenku.baidu.com/view/72be830b03d8ce2f00662344.html
    范李立, 张景旭, 杨飞, 等.极轴式望远镜主镜支撑结构对镜面变形的影响[J].红外与激光工程, 2012, 41(1):173-177. http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=hwyjggc201201034

    FAN L L, ZHANG J X, YANG F, et al.. Impact of the supports of primary mirror in equatorial telescope on its surface deformation[J]. Infrared and Laser Engineering, 2012, 41(1):173-177.(in Chinese) http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=hwyjggc201201034
    辛雪军, 陈长征, 张星祥, 等.平行光管主反射镜组件的非线性有限元分析[J].中国光学与应用光学, 2010, 3(2):170-176. https://wenku.baidu.com/view/4fd571fc998fcc22bdd10d08.html

    XIN X J, CHEN CH ZH, ZHANG X X, et al.. Nonlinear analysis of primary mirror subassembly for collimator based on finite element method[J]. Chinese Journal of Optics and Applied Optics, 2010, 3(2):170-176.(in Chinese) https://wenku.baidu.com/view/4fd571fc998fcc22bdd10d08.html
    徐广州, 阮萍, 李婷.基于接触有限元方法的镜面面形仿真技术研究[J].光学技术, 2012, 38(3):305-309. https://core.ac.uk/display/71623790

    XU G ZH, RUAN P, LI T. Surface simulation based on contact finite element method[J]. Optical Technique, 2012, 38(3):305-309.(in Chinese) https://core.ac.uk/display/71623790
    陈长征, 辛宏伟, 吕清涛, 等.某反射镜组件的线性与非线性工程分析[J].计算机仿真, 2008, 25(3):323-326. http://www.jlck.cn/html/2012-6/63581_2.html

    CHEN CH ZH, XIN H W, LV Q T, et al.. Reflector subassembly engineering analysis based on combined nonlinear and linear method[J]. Computer Simulation, 2008, 25(3):323-326.(in Chinese) http://www.jlck.cn/html/2012-6/63581_2.html
    WINGGERS P. Computational Contact Mechanics[M]. 2nd ed. America:John Wiley and Sons Ltd, 2002.
    关英俊, 辛宏伟, 刘巨, 等.基于接触非线性分析方法的反射镜组件工程分析[J].光学技术, 2006, 32(6):859-862. http://mall.cnki.net/magazine/Article/GXJS200606016.htm

    GUAN Y J, XIN H W, LIU J, et al.. Reflector subassembly engineering analysis based on contact nonlinear analysis method[J]. Optical Technique, 2006, 32(6):859-862.(in Chinese) http://mall.cnki.net/magazine/Article/GXJS200606016.htm
    赵星, 郑义, 张赞, 等.基于面形斜率的光学自由曲面表征[J].光学 精密工程, 2015, 23(7):1957-1964. http://www.cnki.com.cn/Article/CJFDTOTAL-GXJM201507020.htm

    ZHAO X, ZHENG Y, ZHANG Z, et al.. Characterization of freedom optical surfaces based on surface slope[J]. Opt. Precision Eng., 2015, 23(7):1957-1964.(in Chinese) http://www.cnki.com.cn/Article/CJFDTOTAL-GXJM201507020.htm
    田秀云, 吴时彬, 伍凡, 等.环形大口径平面镜圆Zernike多项式拟合精度分析[J].光学技术, 2008, 34:21-23. http://www.doc88.com/p-9915179588904.html

    TIAN X Y, WU SH B, WU F, et al.. Analysis for circle Zernike polynomial fitting precision of annual large flat[J]. Optical Technique, 2008, 34:21-23.(in Chinese) http://www.doc88.com/p-9915179588904.html
    孟轩, 乔彦峰, 何锋赟, 等.Zernike环多项式分析光电经纬仪主镜变形[J].激光与光电子学进展, 2013, 50, 072201. http://mall.cnki.net/magazine/Article/JGDJ201307017.htm

    MENG X, QIAO Y F, HE F Y, et al.. Analyzing primary mirror deformation of photoelectronic theodolite using Zernike annular polynomial[J]. Laser and Optoelectronics Progress, 2013, 50:072201.(in Chinese) http://mall.cnki.net/magazine/Article/JGDJ201307017.htm
    杨佳文, 黄巧林, 韩友民.Zernike多项式在拟合光学表面面形中的应用及仿真[J].航天返回与遥感, 2010, 31(5):49-55. http://www.eeworm.com/dl/510351.html

    YANG J W, HUANG Q L, HAN Y M. Application and simulation in fitting optical surface with Zernike polynomial[J]. Spacecraft Recovery & Remote Sensing, 2010, 31(5):49-55.(in Chinese) http://www.eeworm.com/dl/510351.html
    张颖, 丁振敏, 赵慧洁, 等.光机热集成分析中镜面刚体位移分离[J].红外与激光工程, 2012, 41(10):2763-2767. doi: 10.3969/j.issn.1007-2276.2012.10.039

    ZHANG Y, DING ZH M, ZHAO H J, et al.. Rigid-body displacement separation of optics in optical-structural thermal integrated analysis[J]. Infrared and Laser Engineering, 2012, 41(10):2763-2767.(in Chinese) doi: 10.3969/j.issn.1007-2276.2012.10.039
    田富湘, 何欣.空间光学遥感器光学镜面有限元分析结果的后处理[J].红外, 2014, 35(9):19-22. https://wenku.baidu.com/view/ea76477004a1b0717ed5dd2d.html

    TIAN F X, HE X. Post-processing of FEA results of optical mirrors for space remote sensor[J]. Infrared, 2014, 35(9):19-22.(in Chinese) https://wenku.baidu.com/view/ea76477004a1b0717ed5dd2d.html
    颜庆津.数值分析[M].北京:北京航空航天大学出版社, 2006.

    YAN Q J. Numerical Analysis[M]. Beijing:Beihang Press, 2006.(in Chinese)
  • 加载中


    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索

    Figures(7)  / Tables(2)

    Article views(1023) PDF downloads(162) Cited by()
    Proportional views


    DownLoad:  Full-Size Img  PowerPoint