北京航空航天大学学报 ›› 2011, Vol. 37 ›› Issue (3): 368-373.

• 论文 • 上一篇    下一篇

利于翼型优化设计的超临界翼型参数化方法

邓金秋, 冯仁忠   

  1. 北京航空航天大学 数学与系统科学学院, 北京 100191
  • 收稿日期:2010-01-25 出版日期:2011-03-31 发布日期:2011-04-01
  • 作者简介:邓金秋(1988-),男,北京人,硕士生,deng.jinqiu@gmail.com.

Supercritical airfoil parameterization method feasible to optimum design

Deng Jinqiu, Feng Renzhong   

  1. School of Mathematics and Systems Science, Beijing University of Aeronautics and Astronautics, Beijing 100191, China
  • Received:2010-01-25 Online:2011-03-31 Published:2011-04-01

摘要: 为减少超临界翼型优化中的设计变量,消除优化结果的不光顺现象、保证C2连续,在优化过程中控制翼型几何特性的变化范围,设计出了由4条首尾相接的有理Bézier曲线表示的超临界翼型的翼型参数化方法,该方法对翼型数据的参数化过程中主要运用了Bézier曲线拟合算法与SPSA(Simultaneous Perturbation Stochastic Approximation)优化算法,并在Bézier曲线拟合算法中使用了有别于常用方法的数据点参数选择方法.将这种超临界翼型参数化方法与优化算法结合便可实现翼型优化设计,其中的设计变量为21个,优化结果不仅光顺且满足C2条件,通过设定设计变量变化范围便可控制相应的翼型前缘半径、上下弦最高最低点的位置与曲率、尾部契角等几何特征.

Abstract: To reduce the number of design variables in the supercritical airfoil optimization, eliminate the unfairness phenomenon, ensure C2 condition, control the geometric characteristics of the airfoil in the optimization process, a parameterization method for supercritical airfoil based on four rational Bézier curve was presented. In the parametric process to the airfoil data, the Bézier curve approximation algorithm and SPSA(simultaneous perturbation stochastic approximation) algorithm were used and in the Bézier curve approximation algorithm the way to choose the parameter to the data points is different from the common method. Supercritical airfoil shape optimization can be achieved by combining this method with optimization algorithms. It contents 21 design variables, the optimization result is fair and satisfies the C2 condition, the geometric characteristics of the airfoil such as leading edge radius, upper and lower crest location including curvature there, the boattail angle can be controlled in the optimization process by setting the range of the design variables.

中图分类号: 


版权所有 © 《北京航空航天大学学报》编辑部
通讯地址:北京市海淀区学院路37号 北京航空航天大学学报编辑部 邮编:100191 E-mail:jbuaa@buaa.edu.cn
本系统由北京玛格泰克科技发展有限公司设计开发