基于蒙特卡洛法的卫星天线板展开精度分析

卫星天线板的展开精度对卫星在轨工作精度有影响显著，展开精度受多种因素影响，其中加工装配误差难以避免且具有不确定性，需利用统计和概率方法进行研究。文章分析了卫星天线板支撑机构锁定铰链锁定位置偏差对天线板展开精度的影响；建立了卫星天线板动力学模型，提取动力学分析结果作用于展开状态的天线板有限元模型进行静力分析，得到结构节点变形；定义了衡量天线板变形程度的精度指标，包括平面度偏差和指向角度偏差；基于给定的铰链锁定误差分布，采用蒙特卡洛法得到了天线板展开状态下精度指标的概率分布，拟合并验证了其满足正态分布，为天线板的可靠性设计和展开精度改进提供了依据。

Accuracy Analysis of Satellite Antenna Plate Deployment Based on Monte Carlo Method

The deployment precision of satellite antenna plate influences orbit accuracy significantly. Deployment accuracy is affected by many factors, of which the errors from processing and assembly are dif- ficult to avoid and with uncertainty, and need be studied by using statistical and probabilistic methods. This paper analyzes the influence on the deployment precision of the satellite mechanism which is caused by the lock angle deviation of lockable joints equipped on the antenna support mechanism, establish the dynamic model, extract the analysis results for static analysis on the finite element model to get nodes deformation, and defines the deviation of the antenna flatness and pointing direction to measure the deformation of the antenna plate. Based on the given hinge locking error distribution, the paper uses Monte Carlo method to get a precision probability distribution of the deployed antenna, which is fitted and verified to be a normal dis- tribution; and can be a basis of reliability design and improvement of the antenna deployment accuracy.