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多段翼型气动力优化设计的多标准高效进化算法
引用本文:向小军,杨军利.多段翼型气动力优化设计的多标准高效进化算法[J].空气动力学学报,2007,25(2):260-265.
作者姓名:向小军  杨军利
作者单位:中国民航飞行学院飞行技术学院,四川,广汉,618307;中国民航飞行学院飞行技术学院,四川,广汉,618307
基金项目:民航飞行学院科研基金资助项目(Q2003-6)
摘    要:本文分别结合基因算法与博弈论中的竞争型Nash对策及分级型Stackelberg对策构造了多标准高效进化算法,并对二维三段翼型成功地进行了多标准位置增升优化。基因算法在合适地选择了基因操作算子后可以得到全局最优解,博弈论的引入使得传统基因算法具备了无人工干预的多标准优化算法,并且这一优化过程接近于实际翼型工程气动力设计情况。应用本文的方法成功地对三段翼型进行了不同气动条件下的缝翼与襟翼的位置组合优化,最后给出了优化算例,并对两种算法进行了对比。

关 键 词:基因算法  Nash/Stackelberg对策  气动力优化  多段翼型  多目标
文章编号:0258-1825(2007)02-0260-06
修稿时间:2005-07-142005-10-31

High efficient evolutionary algorithms for multi-criteria optimization of multi-element airfoil in aerodynamics
XIANG Xiao-jun,YANG Jun-li.High efficient evolutionary algorithms for multi-criteria optimization of multi-element airfoil in aerodynamics[J].Acta Aerodynamica Sinica,2007,25(2):260-265.
Authors:XIANG Xiao-jun  YANG Jun-li
Institution:College of Flight Technology, Civil Aviation Flight University of China, Guanghan Sichuan 618307, China
Abstract:The multi-criteria optimization algorithms for multi-element airfoil in aerodynamics using Genetic Algorithms(GAs) and Game Theory(Nash Equilibrium and Stackelberg Equilibrium) is presented in this paper.GAs could get the global optimal solution by selecting appropriately the genetic operators.The introduction of Game Theory in GAs makes it capable to treat multi-criteria problems without artificial parameters and closer to real airfoil design in engineering.The optimization of lift for a multi-element airfoil with mobile slat and flap under different given flow conditions is successfully realized by combining respectively GAs and Nash/Stackelberg strategy.Numerical results obtained are presented and compared.
Keywords:Genetic Algorithms  Nash/Stackelberg games  aerodynamical optimization  multi-element airfoil  multi-criteria
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