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Optimization design for edge-lateral support of a medium-aperture lightweight primary mirror
Sun, Qi1,2,3; Gong, Xuefei1,2
2020-11-20
Source PublicationAPPLIED OPTICS
ISSN1559-128X
Volume59Issue:33Pages:10498-10505
AbstractLightweight primary mirrors are increasingly applied both in ground-based and space-based telescopes. Because the absolute stiffness of the lightweight mirror is much lower than that of the solid one, the design of lateral support becomes more difficult. Based on parallel push-pull support, we have proposed a multi-class variable F-theta optimization approach (MVFOA), where F denotes the magnitude of the support force and theta denotes the support position. Compared with conventional optimization approaches, which only have one class of design variables, F or theta, MVFOA considers the impact of F and theta simultaneously. In addition, we also study push-pull-shear lateral support and propose an unequal-angle push-pull-shear support optimization approach (UPSOA). To verify the advancement of above approaches, by means of finite element calculation, the lateral support optimization of a 2.5 m ultra-low expansion honeycomb sandwich mirror is performed in this paper. For parallel push-pull support with 24 forces, three optimization approaches with different variables, including single-class variable F, single-class variable theta, and multi-class variable F-theta, are compared, and the RMSs of surface deformations are 17.60 nm, 15.93 nm, and 14.81 nm, respectively. For push-pull-shear support with 24 forces, the optimal result by UPSOA occurs when beta equals to 0.84 and the RMS of surface deformations is 10.83 nm. UPSOA also solves the problem that the forces in the region x approximate to +/- R are much larger than the ones in the region x approximate to 0 in the equal-angle pushpull-shear support optimization approach (EPSOA). Through the analysis of results, we find that optimal beta of the honeycomb sandwich mirror is greater than that of the meniscus mirror in push-pull-shear support. In addition, both in parallel push-pull support and push-pull-shear support, it also can be concluded that the position and the magnitude of optimal lateral support forces depend on the stiffness distribution of the mirror along the altitude axis rather than the mass distribution. (C) 2020 Optical Society of America
Funding OrganizationNational Natural Science Foundation of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China
DOI10.1364/AO.408965
Language英语
Funding ProjectNational Natural Science Foundation of China[11873014]
Funding OrganizationNational Natural Science Foundation of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China
WOS Research AreaOptics
WOS SubjectOptics
WOS IDWOS:000592671500037
PublisherOPTICAL SOC AMER
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Document Type期刊论文
Identifierhttp://ir.bao.ac.cn/handle/114a11/80114
Collection中国科学院国家天文台
Corresponding AuthorGong, Xuefei
Affiliation1.Chinese Acad Sci, Nanjing Inst Astron Opt & Technol, Natl Astron Observ, Nanjing 210042, Jiangsu, Peoples R China
2.Nanjing Inst Astron Opt & Technol, CAS Key Lab Astron Opt & Technol, Nanjing 210042, Jiangsu, Peoples R China
3.Univ Chinese Acad Sci, Beijing 10049, Peoples R China
Recommended Citation
GB/T 7714
Sun, Qi,Gong, Xuefei. Optimization design for edge-lateral support of a medium-aperture lightweight primary mirror[J]. APPLIED OPTICS,2020,59(33):10498-10505.
APA Sun, Qi,&Gong, Xuefei.(2020).Optimization design for edge-lateral support of a medium-aperture lightweight primary mirror.APPLIED OPTICS,59(33),10498-10505.
MLA Sun, Qi,et al."Optimization design for edge-lateral support of a medium-aperture lightweight primary mirror".APPLIED OPTICS 59.33(2020):10498-10505.
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