北京航空航天大学学报 ›› 2013, Vol. 39 ›› Issue (4): 525-530.

• 论文 • 上一篇    下一篇

不确定气动载荷计算的区间分析方法

黄仁, 邱志平   

  1. 北京航空航天大学 航空科学与工程学院, 北京 100191
  • 收稿日期:2012-05-27 出版日期:2013-04-30 发布日期:2013-05-03
  • 基金资助:
    国防基础科研计划资助(A2120110001, B2120110011); 高等学校学科创新引智计划项目(B07009); 国家自然科学基金项目(90816024,10876100)

Interval analysis method for uncertain aerodynamic loads computation

Huang Ren, Qiu Zhiping   

  1. School of Aeronautic Science and Engineering, Beijing University of Aeronautics and Astronautics, Beijing 100191, China
  • Received:2012-05-27 Online:2013-04-30 Published:2013-05-03

摘要: 研究微小型飞行器在大气飞行时受到连续阵风干扰后气动升力的预测问题,考虑von Karman谱参数的不确定性,将其用区间向量定量化,基于区间扩张理论和Taylor级数展开,并结合非定常气动力理论,提出了一种考虑飞行环境不确定性的非定常气动载荷计算的区间分析方法.该方法只需要知道不确定参数所在范围的界限,而不需要其他概率信息,为解决不确定气动载荷计算这种复杂问题提供了一个途径.通过数值算例,将区间分析方法与概率方法的结果进行了比较,显示了区间分析方法是可行并有效的.

Abstract: The aerodynamic lift prediction problem of micro air vehicles in atmosphere due to continuous gust was studied. The uncertain von Karman spectrum parameters were expressed in the interval forms. Taking into account the uncertain flight condition, an interval analysis method was proposed to calculate the uncertain unsteady aerodynamic loads. The interval analysis method was based on interval extension and Taylor series expansion, which were combined with unsteady aerodynamic principle. The proposed method can be used to estimate the intervals of aerodynamic loads, requiring the intervals of uncertainties only, hence can be used to solve complex aerodynamic loads computation problems with uncertainties. Numerical example demonstrates the feasibility and efficiency of interval analysis method by comparing its results with probabilistic method.

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