Equivalent Modeling and Verification of a High-Steepness and Lightweight Elliptical Aluminum Mirror

doi:10.3390/app12189091

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	Equivalent Modeling and Verification of a High-Steepness and Lightweight Elliptical Aluminum Mirror
	S. L. Tan; X. Zhang; L. J. Wang; H. B. Wu; Q. Fu; L. Yan and M. Y. Hu
	2022
发表期刊	Applied Sciences-Basel
卷号	12 期号:18 页码:15
摘要	Featured Application The findings of this paper can be used to guide the opto-mechanical system design of lightweight metal elliptic mirrors with a high steepness. In the field of using aerospace for detection and imaging, due to the small space volume and moment of inertia, the demand for ultra-compact high steepness mirrors is increasingly urgent. It is a technical challenge to ensure a high steepness and light weight at the same time. Since the bending stiffness of the mirror is positively correlated with the thickness of the mirror, the accurate selection of an initial mirror thickness can improve the iterative efficiency of its lightweight design and ensure high steepness. In this paper, a flat plate equivalent modeling and performance estimation method for the initial structure of a high steepness elliptical mirror is proposed, and it is appropriate to quickly evaluate whether the mirror thickness meets the requirements of self-weight deformation. This method can realize the fast modeling and performance evaluation of high steepness mirrors. In order to realize the compact layout of aerospace payloads, the design and manufacture of high-steepness lightweight aluminum alloy mirrors is a key technology to be explored. For high-steepness mirrors, the traditional method is to establish the initial thickness that satisfies the bending stiffness through finite element optimization iteration, which cannot achieve fast modeling and performance estimation. In this paper, firstly, the equivalent modeling method of the mirror with high steepness is proposed to achieve the equivalent of the elliptic mirror with a diameter of 410 x 310 mm and F# less than 0.7. Based on the mathematical model, topology shape optimization was used to build a highly lightweight mirror structure that could be quickly assembled, and the equivalent area-mass density of the mirror is less than 34 kg/mm2. Next, the rationality of design feasibility was verified by simulation analysis. Finally, by using single point diamond turning combined with post polishing process, the high-precision manufacturing of conventional aluminum alloy mirror was realized. The results show that the mirror shape accuracy is 1/10 lambda (lambda = 632.8 nm), and the surface roughness Ra is 3.342 nm. This research provides strong theoretical support and application prospects for the low-cost and rapid manufacturing of high-steepness lightweight aluminum alloy mirrors.
DOI	10.3390/app12189091
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收录类别	sci
语种	英语
引用统计
文献类型	期刊论文
条目标识符	http://ir.ciomp.ac.cn/handle/181722/66634
专题	中国科学院长春光学精密机械与物理研究所
推荐引用方式 GB/T 7714	S. L. Tan,X. Zhang,L. J. Wang,et al. Equivalent Modeling and Verification of a High-Steepness and Lightweight Elliptical Aluminum Mirror[J]. Applied Sciences-Basel,2022,12(18):15.
APA	S. L. Tan,X. Zhang,L. J. Wang,H. B. Wu,Q. Fu,&L. Yan and M. Y. Hu.(2022).Equivalent Modeling and Verification of a High-Steepness and Lightweight Elliptical Aluminum Mirror.Applied Sciences-Basel,12(18),15.
MLA	S. L. Tan,et al."Equivalent Modeling and Verification of a High-Steepness and Lightweight Elliptical Aluminum Mirror".Applied Sciences-Basel 12.18(2022):15.

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