基于插值方法的天线背架结构热分析  

Thermal Analysis of Antenna Backup Structure Based on Interpolation Method

作　　者：李旺 付丽[2,4] 王旭[1] 刘海明[3] 刘庆会[2,4] 唐健森 LI Wang;FU Li;WANG Xu;LIU Hai-ming;LIU Qing-hui;TANG Jian-sen(Chongqing Jiaotong University,School of Civil Engineering,Chongqing 400074,China;Shanghai Astronomical Observatory,Chinese Academy of Sciences,Shanghai 200030,China;China Merchants Chongqing Communications Technology Research&Design Institute Co.ltd.,Chongqing 400067,China;Key Laboratory of Radio Astronomy Science and Technology,Chinese Academy of Sciences,Nanjing 210008,China)

机构地区：[1]重庆交通大学土木工程学院,重庆400074 [2]中国科学院上海天文台,上海200030 [3]招商局重庆交通科研设计院有限公司,重庆400067 [4]中国科学院射电天文重点实验室,南京210008

出　　处：《天文学进展》2023年第2期292-302,共11页Progress In Astronomy

基　　金：国家重点研发计划(2018YFA0404702);国家自然科学基金(12273097,Y787111002,Y347201001,11873015)。

摘　　要：大型射电望远镜的天线背架具有结构复杂和节点多等特点,若能够较为精确地重构天线背架的温度场,将对背架热变形等分析有很大帮助。通过在天线结构上安装一定数目的传感器,测量指定位置的温度值,利用距离反比加权插值方法与这些离散的温度值来重构天线背架的温度场,并对不同姿态下的温度场进行分析。而距离反比加权插值效果与距离计算方式、距离方次以及搜索半径相关,以交叉验证的方式对距离反比加权插值方法进行了优化,使精度优于0.5℃。另外,通过插值方法可得出任意时刻的背架温度场,并对不同状态下的背架温度场进行分析,得出影响温度场分布的因素,以及不同方向温差对天线造成的焦距误差与指向误差。The antenna backup structure(BUS)of a large radio telescope has the characteristics of complex structure and many nodes.If the temperature field of the antenna BUS can be reconstructed more accurately,it will be of great help to analyze the thermal deformation of the BUS.In this paper,a certain number of sensors are installed on the antenna structure to measure the temperature value of the specified position,and the temperature field of the BUS is reconstructed by using the inverse distance weighted(IDW)interpolation method and these discrete temperature values,and analyze the temperature field under different attitudes.The effect of the IDW interpolation is related to the distance calculation method,the distance exponent and the search radius.The IDW interpolation method is optimized by cross-validation,so that the accuracy is better than 0.5◦C.In addition,the temperature field of the BUS at any time can be obtained by the interpolation method,and the temperature field of the BUS under different states can be analyzed to obtain the factors that affect the distribution of the temperature field,as well as the focal length error and pointing error caused by the temperature difference in different directions to the antenna.

关 键 词：温度传感器 插值方法 插值精度 温度场 温差 

分 类 号：P111.44[天文地球—天文学]