Optimization of carbon fiber truss element for primary mirror chamber of large telescope

Bo-zhong GU; Meng CHEN; Zhong-yu YUE

doi:10.37188/OPE.20212909.2116

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Optimization of carbon fiber truss element for primary mirror chamber of large telescope

Micro/Nano Technology and Fine Mechanics | 更新时间：2021-10-08

- Optimization of carbon fiber truss element for primary mirror chamber of large telescope
- Optics and Precision Engineering Vol. 29, Issue 9, Pages: 2116-2125(2021)
- 作者机构：
  
  1.中国科学院国家天文台南京天文光学技术研究所，江苏南京 210042
  2.中国科学院天文光学技术重点实验室（南京天文光学技术研究所），江苏南京 210042
  3.中国科学院大学，北京 100049
- 作者简介：
- 基金信息：
- DOI：10.37188/OPE.20212909.2116
  CLC： TP751
- Received：02 February 2021，
  
  Revised：11 March 2021，
  
  Published：15 September 2021
- 稿件说明：
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顾伯忠,陈萌,乐中宇.大型望远镜主镜室碳纤维桁架单元的优化[J].光学精密工程,2021,29(09):2116-2125.

GU Bo-zhong,CHEN Meng,YUE Zhong-yu.Optimization of carbon fiber truss element for primary mirror chamber of large telescope[J].Optics and Precision Engineering,2021,29(09):2116-2125.
顾伯忠,陈萌,乐中宇.大型望远镜主镜室碳纤维桁架单元的优化[J].光学精密工程,2021,29(09):2116-2125. DOI： 10.37188/OPE.20212909.2116.

GU Bo-zhong,CHEN Meng,YUE Zhong-yu.Optimization of carbon fiber truss element for primary mirror chamber of large telescope[J].Optics and Precision Engineering,2021,29(09):2116-2125. DOI： 10.37188/OPE.20212909.2116.

摘要

为适应光学红外望远镜口径不断增大的需求，降低驱动功率，应用碳纤维复合材料对望远镜主镜室桁架进行轻量化设计。对望远镜主镜室碳纤维复合材料桁架单元铺层进行优化设计，利用进化算法选取最优铺层方案。对望远镜主镜室桁架单元建模，并利用敏感性分析及进化算法选取最佳铺层方案，设计另外3种典型铺层方案进行对比，对桁架杆单元进行静力学分析和加载实验，对桁架杆组装成的六杆三棱锥单元进行模态分析和振动测试。有限元分析和实验结果对比表明：最优铺层方案为［±45°/90°/0°/90°/0°］s。有限元分析得到该方案桁架杆单元的等效轴向刚度为8.306×10

N/m，实验测得为7.463×10

N/m；有限元分析得到的等效径向刚度为3 968.3 N/m，实验测得为3 344.5 N/m。该方案六杆三棱锥单元模态分析得到一阶频率为93.699 Hz，振动测试测得一阶频率为84.683 Hz。复合材料桁架杆质量比同尺寸的钢结构杆减轻了77.6%，静力学性能与动力学性能均优于同质量钢杆。最佳铺层方案的有限元分析结果和实验结果表明其静力学性能及动力学性能均优于其他方案。

Abstract

To meet the increasing demand of optical infrared telescopes and reduce the driving power， carbon fiber composite materials are used to carry out lightweight research on the main mirror truss of the telescope. The layout of carbon fiber composite truss element in the telescope's primary mirror chamber was optimized， and the evolution algorithm was used to select the optimal layout. The truss element of the telescope's primary mirror chamber was modeled， and the sensitivity analysis and evolution algorithm were used to select the best layup scheme. Three typical layup schemes were utilized for comparison. Static analysis and loading experiment are performed on the truss rod element. The six-bar triangular pyramid unit assembled by the rods is subjected to modal analysis and vibration test. The comparison of finite element analysis and experimental results show that the optimal layup plan is ［±45°/90°/0°/90°/0°］s. The equivalent axial stiffness obtained by the finite element analysis of the truss bar element of this scheme is 8.306×10

N/m， and the experimental measurement is 7.463×10

N/m； the equivalent radial stiffness obtained by the finite element analysis is 3 968.3 N/m， and the experimental measurement is 3 344.5 N/m. The modal analysis of the six-bar triangular pyramid element of this scheme shows that the first-order frequency is 93.699 Hz， and the first-order frequency is 84.683 Hz measured by the vibration experiment. The weight of the composite truss rod is 77.6% lighter than the steel structure of the same size， static and dynamic properties are better than steel rods of the same weight. The results of finite element analysis and experimental verification of the best layup scheme indicate that its static and dynamic properties are better than other schemes.

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