基于实用参数控制的翼型参数化方法  

A Geometric Representation of Airfoil Based on Applied Parameters

作　　者：王文剑[1] 黄俊[1] 宋磊[1] 

机构地区：[1]北京航空航天大学航空科学与工程学院,北京100191

出　　处：《飞机设计》2013年第3期1-4,共4页Aircraft Design

摘　　要：在翼型的优化设计中,通常要对二元翼型进行参数化方法表示,其目标是利用较少的参数得到足够大的设计空间。分析了Hicks-Henne型函数叠加法和PARSEC几何参数法的特点和不足,提出了利用厚度、弯度等实用参数进行翼型定义的方法,该方法可以通过厚度和弯度参数更加直观地理解翼型轮廓和翼型基本气动性能。通过分析3种方法对5种翼型的最小二乘拟合结果得出结论:实用参数法的误差分布比较平均,且能够比另外两种方法更精确地表示翼型。Geometric representation of 2-D airfoil is a necessary procedure in the optimization and design of airfoils. The goal of representation is that more airfoils can be obtained by using less parameter. The characters and disadvantages of Hicks-Henne shape function method and PARSEC method are analyzed. A geometric representation of airfoil was proposed, which is defined by applied parameters-relative thickness, relative camber, etc. The method can represent the outline of airfoils; aerodynamic characters can be qualitatively analyzed through thickness, camber, etc. It was concluded by analyzing the least-square regression outcome of five airfoils in the three geometric methods. The conclusion is that the residuals of applied geometric method distributes averagely and represents airfoils more accurately than the other two methods.

关 键 词：翼型 参数化 实用参数 误差分布 

分 类 号：V211.4[航空宇航科学与技术—航空宇航推进理论与工程]