Optimum design of support structure for 2m telescope’s K mirror

Guo Peng; Zhang Jingxu; Yang Fei; Zhang Yan; Jiao Wei

A flexible support structure was designed to make the mirror surface figure error and the stiffness of the structure fulfill the requirements of the design of a 2m telescope's K mirror. KM1 was the support at three points on the rear of mirror. The position of support points was optimized by the FEA software ANSYS to minimum the mirror surface's RMS. And the flexibility matrix of the flexible support bar was built by theadjoint transformation. Then based on the flexibility matrix, the thickness, length and the width of the flexure hinge were optimized to reduce the thermal stress and assembly stress and fulfill the requirement of the mirror support's stiffness. KM2 was the support at three points which are uniformly spaced around the circum of mirror. The flexible support bar of KM2 was the same as KM1's. The FEA simulation results of KM1 and KM2 under the work condition of gravity and temperature drop met the design requirements. The RMS of KM1 was less than /40, and the RMS of KM2 was less than/60. Their first order resonant frequency was all over 100 Hz.

1. Changchun Institute of Optics,Fine Mechanics and Physics,Chinese Academy of Sciences,Changchun 130033,China;

2. University of Chinese Academy of Sciences,Beijing 100049,China;

3. Library of Jilin Business and Technology College,Changchun 130507,China

Received Date: 2013-10-05

Rev Recd Date: 2013-11-03

Publish Date: 2014-06-25

Key words:

Abstract: A flexible support structure was designed to make the mirror surface figure error and the stiffness of the structure fulfill the requirements of the design of a 2m telescope's K mirror. KM1 was the support at three points on the rear of mirror. The position of support points was optimized by the FEA software ANSYS to minimum the mirror surface's RMS. And the flexibility matrix of the flexible support bar was built by theadjoint transformation. Then based on the flexibility matrix, the thickness, length and the width of the flexure hinge were optimized to reduce the thermal stress and assembly stress and fulfill the requirement of the mirror support's stiffness. KM2 was the support at three points which are uniformly spaced around the circum of mirror. The flexible support bar of KM2 was the same as KM1's. The FEA simulation results of KM1 and KM2 under the work condition of gravity and temperature drop met the design requirements. The RMS of KM1 was less than /40, and the RMS of KM2 was less than/60. Their first order resonant frequency was all over 100 Hz.

HTML

Reference (17)

[1]	Liu Guangqian, Lu Ruwei. The image field rotation of the auto-guide unit of the solar telescope in yunnan observatory[J]. Publications of Yunnan Observatory, 2003, 4: 28-33. (in Chinese) 柳光乾, 卢汝为. 云台红外太阳望远镜中光电导行系统的像场旋转[J]. 云南天文台台刊, 2003, 4: 28-33.
[2]
[3]	Cheng Jingquan. Principles of Astronomical Telescope Design[M]. Beijing: China Science Technology Press, 2003. (in Chinese) 程景全. 天文望远镜原理和设计[M]. 北京: 中国科学技术出版社, 2003.
[4]
[5]
[6]	Wang Zhongsu, Zhai Yan, Mei Gui, et al. Design of flexible support structure of reflector in space remote sensor[J]. Opts and Precision Engineering, 2012, 18 (8): 1833-1841. (in Chinese) 王忠素, 翟岩, 梅贵, 等. 空间光学。感器反射镜柔性支撑的设计[J]. 光学精密工程, 2012, 18(8): 1833-1841.
[7]
[8]	Zhang Yuanyuan, Jing Wei, Cheng Yuntao, et al. Design and finite element analysis of 510 mm SiC ultra-lightweight mirror[J]. Opts and Precision Engineering, 2012, 20(8): 1718-1724. (in Chinese). 张媛媛, 敬畏, 程云涛, 等. 510 mm SiC 超轻量化反射镜的设计与有限元分析[J]. 光学精密工程, 2012, 20(8): 1718-1724.
[9]	Brunelli A, Bergonmi M, Dima M. Tips tricks for aligning an image derotator[C]//SPIE, 2012, 8446: 4L1-4L10.
[10]
[11]	Fan Lei, Zhang Jingxu, Wu Xiaoxia, et al. Optimum design of edge-lateral support for large-aperture lightweight primary mirror[J]. Opts and Precision Engineering, 20 (10): 2209-2214. (in Chinese). 范磊, 张景旭, 吴小霞，等. 大口径轻量化主镜边缘侧向支撑的优化设计[J].光学精密工程, 20(10): 2209-2214.
[12]
[13]	Fan Lei, Yang Hongbo, Zhang Jingxu, et al. Hardpoints defining structure for large aperture primary mirror[J]. Infrared and Laser Engineering, 2012, 41(12): 3367-3371. (in Chinese). 范磊, 杨洪波, 张景旭, 等. 大口径反射镜轴向硬点定位[J]. 红外与激光工程, 2012, 41(12): 3367-3371.
[14]
[15]	Hu Junfeng, Zhang Xianmin. Kinematical properties and optimal design of 3-DOF precision positioning stage[J]. Opts and Precision Engineering, 2012, 20 (12): 2686-2695. (in Chinese). 胡俊峰, 张宪民. 3自由度精密定位平台的运动特性和优化设计[J]. 光学精密工程, 2012, 20(12): 2686-2695.
[16]
[17]	Zhao Hongchao, Zhang Jingxu, Yu Xiaobo, et al. Design and optimization of Stewart platform in TMT tertiary mirror system[J]. Infrared and Laser Engineering, 2012, 41(12): 3336-3341. (in Chinese) 赵宏超, 张景旭, 于晓波, 等. TMT 三镜系统中Stewart 平台的优化设计[J]. 红外与激光工程, 2012, 41(12): 3336-3341.

Optimum design of support structure for 2m telescope’s K mirror

Abstract

References

Proportional views

通讯作者: 陈斌, bchen63@163.com

Article Metrics

Related

Proportional views