Interval Uncertainty Analysis of Soft-landing Dynamics of Lunar Lander

被引:0
|
作者
Chen Z. [1 ]
Liu L. [1 ]
Chen S. [1 ]
Cui Y. [1 ]
机构
[1] Key Laboratory of Dynamics and Control of Flight Vehicle, School of Aerospace Engineering, Beijing Institute of Technology, Beijing
来源
Binggong Xuebao/Acta Armamentarii | 2019年 / 40卷 / 02期
关键词
Chebyshev polynomial; Interval parameter; Lunar lander; Monte Carlo method; Uncertainty analysis;
D O I
10.3969/j.issn.1000-1093.2019.02.025
中图分类号
学科分类号
摘要
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. © 2019, Editorial Board of Acta Armamentarii. All right reserved.
引用
收藏
页码:442 / 448
页数:6
相关论文
共 28 条
  • [1] Lavender R.E., Touchdown dynamics analysis of spacecraft for soft lunar landing: NASA TN D-2001, (1964)
  • [2] Wang S.C., Deng Z.Q., Yang D., Et al., Simulation research on novel structure of lunar lander based on ADAMS, Journal of Harbin Institute of Technology, 39, 9, pp. 1392-1394, (2007)
  • [3] Dong W.L., Liu L., Zhou S.D., Et al., Analysis on soft-landing dynamics and influence factors of lunar lander, Journal of Astronautics, 35, 4, pp. 388-396, (2014)
  • [4] Jiang W.S., Huang W., Shen Z.W., Et al., Softlanding dynamics simulation for lunar explorer, Journal of Astronautics, 32, 3, pp. 462-469, (2011)
  • [5] Wan J.L., Nie H., Li L.C., Et al., Analysis of the landing impact performance for lunar landing leg with transient dynamic method, Acta Armamentarii, 31, 5, pp. 567-573, (2010)
  • [6] Wan J.L., Nie H., Chen J.B., Et al., Impact response analysis of payloads of lunar lander for lunar landing, Journal of Astronautics, 31, 11, pp. 2456-2464, (2010)
  • [7] Merchant D., Sawdy D., Monte Carlo dynamic analysis for lunar module landing loads, Journal of Spacecraft and Rockets, 8, 1, pp. 48-55, (1971)
  • [8] Chen J.B., Wan J.L., Li L.C., Et al., Analysis on the influencing factors of performance in lunar lander, Journal of Astronautics, 31, 3, pp. 669-673, (2010)
  • [9] Qiu Z.P., Chen S.H., Song D.T., The displacement bound estimation for structures with an interval description of uncertain parameters, Communications in Numerical Methods in Engineering, 12, 1, pp. 1-11, (1996)
  • [10] Alefeld G., Myler G., Interval analysis: theory and applications, Journal of Computational and Applied Mathematics, 121, 1, pp. 421-464, (2000)