Welcome to Journal of Beijing Institute of Technology
Advance Search
Volume 20Issue 3
.
Turn off MathJax
Article Contents
Article Navigation> JOURNAL OF BEIJING INSTITUTE OF TECHNOLOGY> 2011> 20(3): 324-330
ZHAO Liang-yu, YANG Shu-xing, XU Yong. Uncertainty quantification for a flapping airfoil with a stochastic velocity deviation[J]. JOURNAL OF BEIJING INSTITUTE OF TECHNOLOGY, 2011, 20(3): 324-330.
Citation: ZHAO Liang-yu, YANG Shu-xing, XU Yong. Uncertainty quantification for a flapping airfoil with a stochastic velocity deviation[J].JOURNAL OF BEIJING INSTITUTE OF TECHNOLOGY, 2011, 20(3): 324-330.
shu

Uncertainty quantification for a flapping airfoil with a stochastic velocity deviation

  • Key Laboratory of Dynamics and Control of Flight Vehicle, Ministry of Education, Beijing Institute of Technology, Beijing 100081, China

  • Received Date:2010-09-06
    Abstract
  • An outdoor flapping wing micro air vehicle (FWMAV) should be able to withstand unpredictable perturbations in the flight condition. The responses of the time-averaged thrust coefficient and the propulsive efficiency with respect to a stochastic flight velocity deviation were numerically investigated. The deviation was assumed to obey the Gauss distribution with a mean value of zero and a specified standard deviation. The probability distributions of the flapping performances were quantified by the non-intrusive polynomial chaos method. It was observed that both of the time-averaged thrust coefficient and the propulsive efficiency obeyed Gauss-like but not the exact Gauss distribution. The velocity deviation had a large effect on the time-averaged thrust coefficient and a small effect on the propulsive efficiency.
    • FullText(HTML)
  • loading
    • References (16)
  • [1]
    McMichael J M, Francis M S. Micro air vehicles-toward a new dimension in flight . Arlington: DARPA, 1997.
    [2]
    Platzer M F, Jones K D, Young J, et al. Flapping-wing aerodynamics: progress and challenges [J]. AIAA Journal, 2008, 46(9):2136-2148.
    [3]
    Jones K D, Platzer M F. Bio-inspired design of flapping wing micro air vehicles: an engineer’s perspective //44th AIAA Aerospace Sciences Meeting and Exhibit, 9-12 January 2006. AIAA-2006-0037. Reno, Nevada: AIAA, 2006.
    [4]
    Lian Y, Shyy W. Aerodynamics of low Reynolds number plunging airfoil in steady and gusty environments //45th AIAA Aerospace Sciences Meeting and Exhibit, 8-11 January 2007. AIAA-2007-0794. Reno, Nevada: AIAA, 2007.
    [5]
    Gopalan H, Povitsky A. A numerical study of gust suppression by flapping airfoils //26th AIAA Applied Aerodynamics Conference, 18-21 August 2008. AIAA-2008-6394. Honolulu, Hawaii: AIAA, 2008.
    [6]
    Lian Y. Numerical study of a flapping airfoil in gusty environments //27th AIAA Applied Aerodynamics Conference, 22-25 June 2009. AIAA-2009-3952. San Antonio, Texas: AIAA, 2009.
    [7]
    Viswanath K, Tafti D. Effect of frontal gusts on flexible wings in forward flapping flight //40th Fluid Dynamics Conference and Exhibit, 28 June-1 July 2010. AIAA-2010-4869. Chicago, Illinois: AIAA, 2010.
    [8]
    Cebeci T, Platzer M, Chen H, et al. Analysis of low-speed unsteady airfoil flows [M]. New York: Springer, 2005.
    [9]
    Young J, Walker S M, Bomphrey R J, et al. Details of insect wing design and deformation enhance aerodynamic function and flight efficiency [J]. Science, 2009, 325(5947):1549-1552.
    [10]
    Zhao L, Yang S. Influence of thickness variation on the flapping performance of symmetric NACA airfoils in plunging motion . Mathematical Problems in Engineering, 2010, Article ID 675462, 19 pages. doi:10.1155/2010/675462. http:// downloads.hindawi.com/journals/mpe/2010/675462.pdf.
    [11]
    Zhao Liangyu, Xu Yong, Xu Laibin, et al. Bi-objective path optimization of flapping airfoils based on a surrogate model [J]. Journal of Beijing Institute of Technology, 2011, 20(2): 56-64.
    [12]
    Wiener N. The homogeneous chaos [J]. American Journal of Mathematics, 1938, 60(4):897-936.
    [13]
    Xiu D, Karniadakis E. The Wiener-Askey polynomial chaos for stochastic differential equations [J]. Journal of Scientific Computing, 2002, 24(2):619-644.
    [14]
    Isukapalli S. Uncertainty analysis of transport-transformation models . New Braunswick: the State University of New Jersey, 1999.
    [15]
    Debusschere B, Najm H, Pebay P, et al. Numerical challenges in the use of polynomial chaos representations for stochastic processes [J]. SIAM Journal on Scientific Computing, 2004, 26(2):698-719.
    [16]
    Walters R. Towards stochastic fluid mechanics via polynomial chaos-invited //41st Aerospace Sciences Meeting and Exhibit. 6-9 January 2003. AIAA-2003-413. Reno, Nevada: AIAA, 2003.
    • Relative Articles
  • Supplements (0)
  • Cited By
  • 加载中

Catalog

    通讯作者:陈斌, bchen63@163.com
    • 1.

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索
    Get Citation
    PDF
    XML

    Article Metrics

    Article views (1312) PDF downloads(234) Cited by()
    Proportional views
    Related

    Address:5 Zhongguancun South Street, Haidian District, Beijing

    Tel:86-10-68914374

    Email:blgywb@bit.edu.cn

    Copy Right © Journal of Beijing Institute of Technology

    Supported by:Beijing Renhe Information Technology Co. Ltd

    /

      Return
      Return
        Baidu
        map