Landing stability analysis of the lunar lander based on Monte Carlo approach
-
摘要: 为了验证月球探测器的软着陆性能,建立了月球探测器着陆过程多体动力学仿真分析模型.由于探测器着陆地点及初始着陆条件的不确定性,采用蒙特卡罗法对探测器的着陆稳定性进行了研究.为了提高蒙特卡罗模拟的效率,采用了基于均值估计相对误差的蒙特卡罗模拟终止准则,从而在保证精度的前提下减少计算成本.通过着陆仿真试验,获得了探测器在给定坡度的月面上着陆时,各着陆性能参数的分布均值、方差及相应的置信区间等统计学结果,并计算了探测器安全着陆的可靠度.Abstract: A multi-body touchdown dynamics simulation model was established for predicting landing performances of the lunar lander. Because of the uncertainty of the landing site and initial landing conditions of the lander at touchdown, a Monte Carlo dynamic analysis was performed to study the landing stability of the lunar lander. A stopping rule based on the relative error of the mean estimate was adopted for determining the run length of the Monte Carlo simulation. Through the landing simulation experiments on the lunar surface with a certain slope, statistical results of the landing performance parameters such as the means, variances and corresponding confidence intervals were obtained and the reliability for stable landing was finally computed.
-
Key words:
- lunar lander /
- touchdown dynamics /
- landing stability /
- Monte Carlo /
- landing reliability
-
[1] 褚桂柏,张熇.月球探测器技术[M].北京:中国科学技术出版社,2007:123-131 Chu Guibai,Zhang He.Lunar probe techniques[M].Beijing:China Science & Technology Press,2007:123-131(in Chinese) [2] Hilderman R A,Mueller W H,Mantus M.Landing dynamics of the lunar excursion module[J].Journal of Spacecraft and Rockets,1966,3(10):1484-1489 [3] 朱汪,杨建中.月球着陆器软着陆机构着陆稳定性仿真分析[J].宇航学报,2009,30(5):1792-1796 Zhu Wang,Yang Jianzhong.Touchdown stability simulation of landing gear system for lunar lander[J].Journal of Astronautics,2009,30(5):1792-1796(in Chinese) [4] Briere M,Weber J.Robotic lunar lander development project:three dimensional dynamic stability testing and analysis[R].NASA/CP-2011-215873,2010 [5] Ponnusamy D,Maahs G.Development and testing of leg assemblies for robotic lunar lander[C]//Ouwehand L.Proceedings of the 14th European Space Mechanisms and Tribology Symposium.Noordwijk:ESA Communications,2011:485-492 [6] Cole T J,Bassler J,Cooper S,et al.The challenges of designing a lightweight spacecraft structure for landing on the lunar surface[J].Acta Astronautica,2012,71:83-91 [7] 林轻,聂宏,徐磊,等.月球着陆器软着陆稳定性关键影响因素分析[J].南京航空航天大学学报,2012,44(2):152-158 Lin Qing,Nie Hong,Xu Lei,et al.Analysis on key influence factors of soft-landing stability in lunar lander[J].Journal of Nanjing University of Aeronautics and Astronautics,2012,44(2):152-158(in Chinese) [8] Lavender R E.Monte Carlo approach to touchdown dynamics for soft lunar landings[R].NASA-TN-D-3117,1965 [9] Merchant D H,Sawdy D T.Monte Carlo dynamic analysis for lunar module landing loads[J].Journal of Spacecraft and Rockets,1971:8(1):48-55 [10] Lu Yuntong,Wang Chunjie,Zeng Fuming,et al.A Monte Carlo analysis of lunar lander dynamics at touchdown[C]//CSAA.Proceedings of 2010 Asia-Pacific International Symposium on Aerospace Technology.Xi-an:Northwestern Polytechnical University Press,2010:481-484 [11] 逯运通,宋顺广,王春洁,等.基于刚柔耦合模型的月球着陆器缓冲试验动力学仿真分析[J].北京航空航天大学学报,2010,36(11):1348-1352 Lu Yuntong,Song Shunguang,Wang Chunjie,et al.Dynamic analysis for lunar lander based on rigid-flexible coupled model[J].Journal of Beijing University of Aeronautics and Astronautics,2010,36(11):1348-1352(in Chinese) [12] Rogers W F.Apollo experience report-lunar module landing gear subsystem[R].NASA-TN-D-6850,1972 [13] Zupp G A,Doiron H H.A mathematical procedure for predicting the touchdown dynamics of a soft-landing vehicle[R].NASA-TN-D-7045,1971 [14] Law A M.Simulation modeling and analysis[M].4th ed.Beijing:Tsinghua University Press,2009:494-500 [15] GB/T 4088-2008 数据的统计处理和解释二项分布参数的估计与检验[S] GB/T 4088-2008 Statistical interpretation of data-estimation and hypothesis test of parameter in binomial distribution[S]
点击查看大图
计量
- 文章访问数: 1362
- HTML全文浏览量: 91
- PDF下载量: 600
- 被引次数: 0