翼型叶片精确参数化建模的研究及应用

Research and Application on Accurate Parametric Modeling of Aerofoil Blade

从理论上分析了抛物线、单圆弧和双圆弧型翼型中心线方程,推导并更正了双圆弧中心线翼型的前、后缘方向角的取值规律。阐述了翼型叶片截面的参数化建模方法,利用微分的思想,通过中心线分割点的弧长值求得了对应横坐标,从而获得了更加精确的翼型叶片上、下轮廓控制点坐标参数化计算方法。在此基础上,开发了翼型叶片截面参数化绘图程序,实现了叶型截面的精确自动绘制。

The centerline equations of parabolic, single arc and double circular arc airfoil were analyzed theoretically. Leading edge direction angle and trailing edge direction angel value low of double circular arc airfoil was derived and corrected. The para- metric modeling method of aerofoil blade section was described. The abscissa of centerline segmentation point was obtained through are length based on differential idea, thus a more accurate parametric calculation method of control point coordinates which determining the contour of airfoil blade was obtained. A parametric drawing program of aerofoil blade section which could realize the blade section automatic drawing accurately was developed based on this method.