月球探测器着陆动响应区间不确定性分析

doi:10.3969/j.issn.1000-1093.2019.02.025

摘要/Abstract

摘要： 月球探测器软着陆动力学分析对探测器设计十分重要。目前软着陆动力学分析一般考虑确定的是着陆姿态和着陆速度，未考虑着陆参数的不确定性带来的动力学响应变化。基于Chebyshev多项式区间参数分析方法，针对探测器着陆过程动态特性，提出基于非线性有限元建模的探测器着陆动响应区间分析流程，计算得到了探测器着陆动响应上界和下界，并与蒙特卡洛仿真方法得到的响应上界和下界进行了对比，结果显示Chebyshev多项式区间方法分析结果可以完全包裹蒙特卡洛方法分析结果，并且结果区间没有被过度放大；对比分析截断阶数对区间分析误差的影响，结果表明截断阶数对分析误差影响较小。 Chebyshev多项式区间参数分析方法具有包裹性强、分析效率高的优势。

关键词: 月球探测器, 区间参数, 不确定性分析, Chebyshev多项式, 蒙特卡洛方法

Abstract: Dynamic analysis of soft-landing is very important for the design of lunar lander. At present, the determined landing attitude and speed are considered while not considering the uncertainty of these parameters in the analysis of soft-landing dynamics. Based on Chebyshev interval analysis method, an analysis process of landing dynamic interval based on nonlinear finite-element model is proposed for the dynamic characteristics of landing process. The upper and lower bounds of dynamic response are calculated using Chebyshev method and compared with the simulated results of Monte Carlo method. Comparative result shows that the analyzed results of Chebyshev interval analysis method can fully cover those of Monte Carlo method, and the dynamic interval is not enlarged. The influence of truncation order on the analytic error of dynamic interval was analyzed. The analyzed result shows that the truncation order has little influence on analysis error. Chebyshev method has the advantage of high accuracy and efficiency. Key

Key words: lunarlander, intervalparameter, uncertaintyanalysis, Chebyshevpolynomial, MonteCarlomethod

中图分类号:

V476.3

陈昭岳，刘莉，陈树霖，崔颖. 月球探测器着陆动响应区间不确定性分析[J]. 兵工学报, 2019, 40(2): 442-448.

CHEN Zhaoyue, LIU Li, CHEN Shulin, CUI Ying. Interval Uncertainty Analysis of Soft-landing Dynamics of Lunar Lander[J]. Acta Armamentarii, 2019, 40(2): 442-448.

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