双焦点反射镜离心熔铸成型过程中的反射面交界位置补偿方法

doi:10.3969/j.issn.1000-1093.2020.12.021

兵工学报 ›› 2020, Vol. 41 ›› Issue (12): 2550-2560.doi: 10.3969/j.issn.1000-1093.2020.12.021

双焦点反射镜离心熔铸成型过程中的反射面交界位置补偿方法

宁连爽^1，2，付为杰^1，2，张心明^1，2，3，张轩^1，2

（1.长春理工大学机电工程学院，吉林长春 130022； 2.跨尺度微纳制造教育部重点实验室，吉林长春 130022；3.佛山科学技术学院机电工程与自动化学院，广东佛山 528000）

上线日期:2021-01-29
通讯作者: 张心明（1967—），男，研究员，博士生导师 E-mail:zxm@cust.edu.cn
作者简介:宁连爽（1993—），男，硕士研究生。E-mail:609964593@qq.com
基金资助:
吉林省科技发展计划项目（20200201006JC）

Compensation for Boundary Position of Mirror in Spin Casting of Bifocal Reflector

NING Lianshuang^1，2， FU Weijie^1，2， ZHANG Xinming^1，2，3， ZHANG Xuan^1，2

（1.College of Mechanical and Electrical Engineering，Changchun University of Science and Technology，Changchun 130022，Jilin，China;2.Ministry of Education Key Laboratory for Cross-Scale Micro and Nano Manufacturing，Changchun 130022，Jilin，China；3.School of Mechatronic Engineering and Automation, Foshan University, Foshan 528000, Guangdong, China）

Online:2021-01-29

摘要/Abstract

摘要： 针对双焦点反射镜镜胚离心成型反射面交界位置半径偏差补偿问题，开展双焦点反射镜离心熔铸成型过程中熔体的运动趋势和反射面交界位置的偏移研究。进行离心成型过程仿真，补偿计算内外圈反射面交界位置半径偏差，并进行类比实验验证。对比双焦点反射镜成型过程的仿真和成型实验结果可知，反射面最大面形偏差分别为6.5 μm和7.2 μm，内外圈反射面交界位置半径偏差分别为5.2 μm和7.1 μm，证实了数值模拟方法可以预测双焦点反射镜离心成型曲面面形以及反射面交界位置半径。将圆筒形隔热壁设置为不同半径，对外圈反射面成型转速均为50 r/min，内圈反射面成型转速分别为90 r/min、100 r/min和110 r/min的3种不同双焦点反射镜成型进行仿真，设置隔热壁位置半径分别为31.08 mm、30.7 mm和30.39 mm，使反射面交界位置半径偏差由4.358 mm、4.264 mm和4.199 mm缩小至2.15 μm、2.40 μm和5.30 μm. 偏差结果均为微米级，表明在离心熔铸成型过程中改变隔热壁位置半径能够对反射面交界位置半径进行补偿。

关键词: 双焦点反射镜, 离心熔铸, 反射面交界位置, 类比实验, 偏差补偿

Abstract: In order to study the radius deviation compensation method for the boundary position of the centrifugal shaped reflector surface of bifocal reflector，the trend of melt movement and the deviation of boundary position in the centrifugal casting of bifocal reflector are studied using simulation analysis and analogy experimental method. The spin casting forming process is simulated and analyzed, and studied by way of analogy experiment. The compensation calculation was conducted for the radius deviation of boundary between the inner and outer reflecting surfaces. The simulated results of the forming process of the bifocal reflector were compared with the results of the forming experiment. The results show that the maximum surface shape errors are 6.5 μm and 7.2 μm，and the radius deviations of boundary positions of inner and outer reflectors are 5.2 μm and 7.1 μm，which proves that the numerical simulation method can predict the trend of melt movement during the forming process of bifocal reflector. Different radii are set for cylindrical thermal insulating wall. The simulations are carried out with three different bifocal reflectors, which were formed at 50 r/min for the outer ring reflecting surface and 90 r/min, 100 r/min and 110 r/min for the inner ring reflecting surface. When the position radii of the thermal insulating wall is set 31.08 mm，30.7 mm and 30.39 mm，the boundary position radius deviations of reflector surface are reduced from 4.358 mm，4.264 mm and 4.199 mm to 2.15 μm，2.40 μm and 5.30 μm，respectively. The deviations radii are micron-sized. So it is verified that the boundary position radius of reflector surface can be compensated by changing the position radius of the thermal insulating wall during the spin casting.

Key words: bifocalreflector, spincasting, reflectorboundaryposition, analogyexperiment, errorcompensation

中图分类号:

TG249.4

宁连爽，付为杰，张心明，张轩. 双焦点反射镜离心熔铸成型过程中的反射面交界位置补偿方法[J]. 兵工学报, 2020, 41(12): 2550-2560.

NING Lianshuang， FU Weijie， ZHANG Xinming， ZHANG Xuan. Compensation for Boundary Position of Mirror in Spin Casting of Bifocal Reflector[J]. Acta Armamentarii, 2020, 41(12): 2550-2560.

参考文献

［1］陈丽，刘莉，赵知诚，等. 长焦距同轴四反射镜光学系统设计［J］.红外与激光工程，2019，48(1):197-206.
CHEN L，LIU L，ZHAO Z C，et al. Design of coaxial four-mirror anastigmat optical system with long focal length［J］.Infrared and Laser Engineering，2019，48(1):197-206. (in Chinese)
［2］徐鑫莉，张心明，蔡鹏，等. 基于1∶80缩比实验机的离心熔铸模拟实验研究［J］.兵工学报，2018，39(8):1601-1606.
XU X L， ZHANG X M， CAI P，et al. Simulation experiment of centrifugal casting based on 1∶80 scale reduction experimental machine［J］.Acta Armamentarii，2018，39(8):1601-1606. (in Chinese)
［3］林剑春，孙丽崴，陈博洋，等. 同轴两反光学系统杂散光分析及内遮光罩优化设计［J］.中国激光，2013，40(1): 244-247.
LIN J C，SUN L W，CHEN B Y，et al.Stray light analysis of a coaxial two reflect mirror system and optimized design of inner photomask［J］.Chinese Journal of Lasers，2013，40(1):244-247. (in Chinese)
［4］常军，翁志成，姜会林，等.长焦距空间三反光学系统的设计［J］.光学精密工程，2001，9(4):315-318.
CHANG J，WENG Z C，JIANG H L，et al. Design of long focal length space optical system with three reflective mirrors［J］. Optics and Precision Engineering，2001，9(4):315-318. (in Chinese)
［5］郭永祥，李永强，廖志波，等.新型离轴三反射光学系统设计［J］.红外与激光工程，2014，43(2):546-550.
GUO Y X，LI Y Q，LIAO Z B，et al.Novel design of off-axis three reflective optical system［J］.Infrared and Laser Engineering，2014，43(2):546-550. (in Chinese)
［6］ NEILL D R，MULLER G，HILEMAN E，et al.Final design of the LSST primary/tertiary mirror cell assembly［J］.SPIE Proceedings: Ground-based and Airborne Telescopes VI，2016，9906:10.1117/12.2234016
［7］胡德金.大口径SiC非球面范成精密磨削方法及其工艺［J］.兵工学报，2016，37(12):2340-2346.
HU D J. Precision generated grinding method and its technology of large diameter SiC aspheric surface［J］.Acta Armamentarii，2016，37(12):2340-2346. (in Chinese)
［8］胡海明，李淑娟，高晓春，等. SiC单晶片研磨过程材料去除率仿真与试验研究［J］.兵工学报，2013，34(9):1125-1131.
HU H M，LI S J，GAO X C，et al.Simulation and experiment of MRR in lapping process of SiC monocrystal wafers［J］.Acta Armamentarii，2013，34(9):1125-1131.(in Chinese)
［9］ KORO S，MASAO S，TETSUO S. Aspect of glass softening by master mold［J］.SPIE Proceedings: Optical Manufacturing and Testing，1995，2536:421-433.
［10］ MARTIN H M，ALLEN R G，BURGE J H，et al.Fabrication of mirrors for the Magellan telescopes and the large binocular telescope［J］.SPIE Proceedings: Large Ground-based Telescopes，2003，4837：609-618.
［11］ MARTIN H M，BURGE J H，CUERDEN B，et al. Manufacture of a combined primary and tertiary mirror for the large synoptic survey telescope［J］. SPIE Proceedings: Advanced Optical and Mechanical Technologies in Telescopes and Instrumentation，2015， 7018: 10.1117/12.789959.
［12］ LINDBLOM P，SANDBERG B. A method for producing concave paraboloidal mirrors［J］.Physica Scripta，1980，21(6):828-830.
［13］ WATTINGER M C，GORDON P，GHORAYSHI M，et al. Method and system for the centrifugal fabrication of low cost，polymeric，parabolic lenses［J］.Optics Express，2019，27(15): 21405-21419.
［14］张心明，田爽，付为杰，等. 光学玻璃离心熔铸过程中成型热历史对反射镜的影响［J］.光学精密工程，2018，26(10):2475-2483.
ZHANG X M，TIAN S，FU W J，et al. Effects of thermal history on reflector formation in an optical glass centrifugal casting process［J］.Optics and Precision Engineering，2018，26(10):2475-2483. (in Chinese)
［15］王惠民.流体力学基础［M］.北京：清华大学出版社，2013.
WANG H M. Fundamentals of fluid mechanics［M］. Beijing: Tsinghua University Press, 2013. (in Chinese)
［16］刘畅，刘成森，孙佳星，等. 旋转液体反射抛物面镜［J］.物理实验，2016，36(7):20-22.
LIU C，LIU C S，SUN J X，et al. Rotating liquid reflection parabolic mirror［J］.Physical Experiment，2016，36(7):20-22. (in Chinese)
［17］ ELKINA A V，PARAMONOVA A M，VLASOVA S G. Investigation of the physicochemical properties of borosilicate glasses for the preparation of glass-fiber materials［J］. Glass Physics and Chemistry，2018，44(3):225-227.

双焦点反射镜离心熔铸成型过程中的反射面交界位置补偿方法

Compensation for Boundary Position of Mirror in Spin Casting of Bifocal Reflector

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