基于能量最小的长边条翼身融合5边域过渡曲面的构造

Generation of 5-Sided Blending Surface Among Wing,Fuselage and Long Fringe Based on Energy Minimization

为了构造某类飞行器的机翼面、机身面和长边条面间的5边域翼身融合过渡曲面,确定过渡线、边界线、内部曲线及内部曲线上的法线矢量,以边界线、过渡线和内部曲线为位置约束,以基曲面在过渡线处的法线矢量和内部曲线处的法矢为法矢约束,采用基于能量最小的曲面造型方法分别构建5张4边域曲面.研究表明此方法使这5张曲面在内部跨界曲线处,以及它们和基曲面间在过渡线处的法矢相同.实现了5张4边域曲面拼接构造G1连续的5边域翼身融合过渡曲面.

A method of generating 5-sided blending surface among wing, fuselage and long fringe based on energy minimization is presented. When generating the 5-sided blending surface, contact curves, boundary curves and inner curves are firstly determined. Then the five 4-sided surfaces are generated based on energy minimization using the contact curves, the boundary curves and the inner curves as position constraints and using the normal vectors of the base surfaces at the contact curves and the normal vectors at the inner curves as normal vector constraints. Thus the five 4-sided surfaces are G^1 continuous with each other and are in G1 continuous contact with the base surfaces. Therefore, the 5- sided blending surface consisting of the five 4-sided surfaces is generated.