CAJ | 학술논문

飞机外形设计中,当单一的曲线不能满足描述复杂形状的需要时,就必须采用组合的曲线,这就需要解决的关键问题就是怎样实现光滑连接的问题,工程实践中,G2连续的组合曲线受到了特别的关注。过渡连接时,常用的二次曲线难以在两端均实现G2连续,这就有必要构造其他形式的曲线来实现G2连续,通过控制三次贝齐尔曲线首末端点曲率,得出了该三次贝齐尔曲线与直线、曲线保持G2连续的方法。
비궤외형설계중,당단일적곡선불능만족묘술복잡형상적수요시,취필수채용조합적곡선,저취수요해결적관건문제취시즘양실현광활련접적문제,공정실천중,G2련속적조합곡선수도료특별적관주。과도련접시,상용적이차곡선난이재량단균실현G2련속,저취유필요구조기타형식적곡선래실현G2련속,통과공제삼차패제이곡선수말단점곡솔,득출료해삼차패제이곡선여직선、곡선보지G2련속적방법。
In aircraft shape design, when one single curve could not describe complicated shape, composite curve should be used, and then how to realize smoothly combination must be solved. In practices, G2 continuousness composite curve get especial attentions. It is intractable when use one curve to combine a line and a curve, conic curve widely used could not realize G2 continuousness, so it is necessary constructing other form of curve to meet G2 continuousness. One form of cubic Bézier curve is constructed,and it could meet G2 continuousness by controlling its endpoints'curvature.