| Related citation: | Qinglong Wu,Zhan Yao,Tanhui Wu,Yangqing Hou,Huazhen Zhang,Qian Xu,Na Wang.Back Frame Section Size Optimization of Large Aperture Telescope[J].Journal of Harbin Institute Of Technology(New Series),2023,30(4):76-84.DOI:10.11916/j.issn.1005-9113.22012. |
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| Author Name | Affiliation | | Qinglong Wu | Shanghai YueSheng Information Technology Co, Ltd., Shanghai 201109, China | | Zhan Yao | Shanghai YueSheng Information Technology Co, Ltd., Shanghai 201109, China | | Tanhui Wu | Shanghai YueSheng Information Technology Co, Ltd., Shanghai 201109, China | | Yangqing Hou | Shanghai YueSheng Information Technology Co, Ltd., Shanghai 201109, China | | Huazhen Zhang | Shanghai YueSheng Information Technology Co, Ltd., Shanghai 201109, China | | Qian Xu | Xinjiang Astronomical Observatory, Chinese Academy of Sciences, Urumqi 830011, China | | Na Wang | Xinjiang Astronomical Observatory, Chinese Academy of Sciences, Urumqi 830011, China |
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| Abstract: |
| The back frame structure of a large radio telescope is an important component supporting the reflecting surface, which is directly related to the surface precision. Its optimal design is of key significance for ensuring the surface precision and reducing structural weight. Two methods are constructed to optimize the cross-section size of the telescope back frame in this paper, the criterion method and the first-order optimization method. The criterion method is based on the Lagrangian multiplier method and Kuhn-Tucker condition. This method first establishes the mathematical model by taking the inner and outer radiuses of the back frame beams as the design variables, the structural weight as the constraint condition, and the structural compliance as the objective function, then derives the optimization criterion. The first-order optimization method takes the inner and outer radiuses of the beams as the design variables, the back frame RMS as the objective function, and the structural weight as the constraint condition. Comparison of RMS, structural stress uniformity and optimization efficiency shows that both algorithms can effectively reduce structural deformation and improve RMS, but the criterion method has relatively better result than the first-order method. |
| Key words: radio telescope back frame size optimization RMS criterion method first-order method |
| DOI：10.11916/j.issn.1005-9113.22012 |
| Clc Number:TH11 |
| Fund: |
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| Descriptions in Chinese: |
| 大型射电望远镜背架截面尺寸优化 吴青龙1, 姚展1, 吴坛辉1, 侯仰青1, 张华振1, 许谦2, 王娜2 （1.上海跃盛信息技术有限公司，上海 201109；2.中国科学院新疆天文台, 乌鲁木齐 830011） 摘要：大型射电望远镜背架结构是支撑反射面的重要零部件，直接关系到反射面的型面精度。其优化设计对于保证大型射电望远镜型面精度，减轻结构重量具有关键意义。论文构建两种方法对超大型射电望远镜背架杆件截面尺寸进行了优化设计。其一是基于拉格朗日乘数法和Kuhn-Tucker条件，以初始桁架中杆件的内外半径为设计变量，结构重量为约束条件，结构柔度为目标函数，建立桁架结构杆件尺寸优化的数学模型及其优化准则。其二是基于ANSYS一阶优化理论，以杆件的内外半径为设计变量，背架RMS为目标函数，结构重量为约束条件构建一阶优化模型。从不同工况RMS、优化结构应力均匀性和优化效率几方面进行对比。结果表明，两种算法均能有效减小结构变形、提高RMS，但准则法相较于一阶算法具有相对更好的优化结果。 关键词：射电望远镜;反射面精度;背架结构;尺寸优化;准则法;一阶优化 |
