不确定气动载荷计算的区间分析方法

黄仁; 邱志平

不确定气动载荷计算的区间分析方法

黄仁,
邱志平

北京航空航天大学航空科学与工程学院, 北京 100191

基金项目: 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)

详细信息

中图分类号: V 211.4
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出版历程
- 收稿日期: 2012-05-27
- 网络出版日期: 2013-04-30

Interval analysis method for uncertain aerodynamic loads computation

School of Aeronautic Science and Engineering, Beijing University of Aeronautics and Astronautics, Beijing 100191, China

摘要

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.
- 不确定性 /
- 气动载荷 /
- 连续阵风 /
- 区间分析
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.
- uncertainty /
- aerodynamic load /
- continuous gust /
- interval analysis

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参考文献(14)

[1]	邱志平,王晓军.不确定性结构力学问题的集合理论凸方法[M].北京:科学出版社,2008:1-10 Qiu Zhiping,Wang Xiaojun.Set-theoretical convex methods for problems of structural mechanics with uncertainties [M].Beijing:Scientific Press,2008:1-10(in Chinese)
[2]	王光远.论不确定性结构力学的发展[J].力学进展,2002,32(2):205-211 Wang Guangyuan.On the development of uncertain structural mechanics [J].Advances in Mechanics,2002,32(2):205-211(in Chinese)
[3]	Moens D,Vandepitte D.A survey of non-probabilistic uncertainty treatment in finite element analysis [J].Computer Methods in Applied Mechanics and Engineering,2005,194(12-16):1527-1555
[4]	Yang Chao,Xiao Zhipeng,Wan Zhiqiang,et al.Aeroelastic optimization design for wing with maneuver load uncertainties [J].Science China Technological Sciences,2010,53(11):3101-3109
[5]	Tang Z L,Periaux J.Uncertainty based robust optimization method for drag minimization problems in aerodynamics [J].Computer Methods in Applied Mechanics and Engineering,2012,217-220:12-24
[6]	Walters R W,Huyse L.Uncertainty analysis for fluid mechanics with application .NASA/CR-202-211449,ICASE　2002-1,2002
[7]	Wright J R,Cooper J E.Introduction to aircraft aeroelasticity and loads [M].West Sussex:John Wiley and Sons ltd,2007:293-327
[8]	Simon F,Guillen P,Sagaut P,et al.A gPC-based approach to uncertain transonic aerodynamics [J].Computer Methods in Applied Mechanics and Engineering,2010,199(17-20):1091-1099
[9]	Ghommem M,Hajj M R,Pettit C L,et al.Stochastic modeling of incident gust effects on aerodynamic lift [J].Journal of Aircraft,2010,47(5):1720-1727
[10]	苑凯华,邱志平.阵风响应问题的区间分析方法[J].工程力学,2009,26(1):7-12 Yuan kaihua,Qiu zhiping.Interval analysis method of gust response [J].Engineering Mechanics,2009,26(1):7-12(in Chinese)
[11]	贺红林,周翔.柔性扑翼非定常涡格法气动计算的改进与实现[J].航空学报,2010,31(6):1121-1126 He Honglin,Zhou Xiang.Implementation of an improved unsteady vortex lattice method for flexible flapping-wing aerodynamic computation [J].Acta Aeronautica et Astronautica Sinica,2010,31(6):1121-1126(in Chinese)
[12]	Paula M D.Digital simulation of wind field velocity [J].Journal of Wind Engineering and Industrial Aerodynamics,1998,74-76:91-109
[13]	Katz J,Plotkin A.Low speed aerodynamics:from wing theory to panel method [M].New York:McGraw-Hill Book Co,1991:421-511
[14]	肖业伦,金长江.大气扰动中的飞行原理[M].北京: 国防工业出版社,1991:62-80 Xiao Yelun,Jin Changjiang.Flight principles in atmospheric disturbance [M].Beijing:National Defence Industry Press,1991:62-80(in Chinese)