北京航空航天大学学报 ›› 2012, Vol. ›› Issue (4): 502-508.

• 论文 • 上一篇    下一篇

航天器地面实验的相似性分析方法

何兆伟, 师鹏, 葛冰, 赵育善   

  1. 北京航空航天大学 宇航学院, 北京 100191
  • 收稿日期:2010-12-22 出版日期:2012-04-30 发布日期:2012-04-28

Similitude investigation for ground experiment of spacecraft

He Zhaowei, Shi Peng, Ge Bing, Zhao Yushan   

  1. School of Astronautics, Beijing University of Aeronautics and Astronautics, Beijing 100191, China
  • Received:2010-12-22 Online:2012-04-30 Published:2012-04-28

摘要: 研究了航天器地面实验的相似性问题,给出了完全相似条件和近似相似度量方法.首先,应用量纲分析法推导了航天器地面实验的完全相似准则,并讨论了相似准则应用上的局限性;然后,在键合图理论的基础上,提出了一种系统状态变量的活性分析方法,并据此构建了实验模型近似相似程度的量化度量函数;最后,分别对轨道绝对运动与相对运动的模拟实验进行了相似性分析,给出了多种不同的非理想约束条件对实验相似性的影响,提出了有效的实验建议.仿真计算表明:所提出的方法可作为实验相似程度的量化判别依据,且快捷有效,对工程实验有重要参考价值.

Abstract: The similitude problem for ground experiment of spacecraft was investigated. Dimensional analysis was revisited and employed to develop the necessary similarity conditions, and the constraints on the application of these similarity conditions were also discussed. The activity analyses of the states were proposed based on bond graph, furthermore, a continuous metric that could quantify the proximity of a given model to exact similitude was developed. The viability of this metric was demonstrated using two case studies, one focusing on two-body motion simulation and the other focusing on relative orbit motion simulation. Numerical simulation results prove that the method can be used to quantify the degree to which the model is close to satisfying the exact similitude quickly and effectively at engineering analyses.

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