复合材料星载天线反射面热变形有限元模拟及拓扑优化  

Finite element simulation and topology optimization of thermal deformation of reflector of composite spaceborne antenna

作　　者：谭昆林 曹静 黄宏才 魏培君[1] 张从发[2] TAN Kunlin;CAO Jing;HUANG Hongcai;WEI Peijun;ZHANG Congfa(School of Mathematics and Physics,University of Science and Technology Beijing,Beijing 100083,China;Beijing Space Vehicle General Design Department,Beijing 100086,China)

机构地区：[1]北京科技大学数理学院,北京100083 [2]北京空间飞行器总体设计部,北京100086

出　　处：《复合材料学报》2024年第11期6273-6283,共11页Acta Materiae Compositae Sinica

摘　　要：为控制星载天线反射面的热变形,本文以一口径为1200 mm的正方形格栅反射面为研究对象,首先,确定了预测反射面热变形的有限元建模策略,计算了反射面在3种不同温度荷载下的型面热变形均方根(RMS)。在此基础上提供了一种新的有限元建模策略−层合板等效方式,求出层合板的等效弹性模量和等效热膨胀系数。其次,以正方形格栅反射面为原型对格栅芯子进行拓扑优化,并与其他3种几何形状的芯子进行了比较,发现正方形格栅反射面为最优的结构形式。然后,对正方形格栅反射面做参数优化,找出了最优的正方形格栅单胞尺寸、蒙皮铺层方式、正方形格栅铺层方式和胶层厚度。最后,对正方形格栅反射面做热稳定性指标置信度分析,得到RMS的概率密度函数分布图和各个设计参数的贡献率Pareto图,找出了影响反射面型面热变形的关键因素。In order to control the thermal deformation of satellite-borne antenna reflector,a square grille reflector with a diameter of 1200 mm was taken as the research object.Firstly,the finite element modeling strategy for predicting the thermal deformation of the reflector was determined,and the thermal deformation root-mean-square(RMS)of the reflector under three different temperature loads was calculated.On this basis,a new finite element modeling strategy,the equivalent method of laminates,was provided to obtain the equivalent elastic modulus and equivalent thermal expansion coefficient of laminates.Secondly,the grid core was optimized topologically using the square grid reflector as prototype,and compared with the other three geometries,it is found that the square grid reflector is the best structure.Then,the parameters of the square grating reflector were optimized,and the optimal square grating cell size,skin laying mode,square grating laying mode and adhesive layer thickness were found out.Finally,the probability density function distribution of RMS and the contribution rate Pareto diagram of each design parameter were obtained by the confidence analysis of the thermal stability index of the square grating reflector,and the key factors affecting the thermal deformation of the reflector profile were found out.

关 键 词：反射面 RMS 层合板等效 拓扑优化 参数优化 置信度分析 

分 类 号：TB332[一般工业技术—材料科学与工程]