基于三阶平面贝齐尔曲线的G2连续研究

• 作 者: 李启明 曹喜锋 于立明
• 机 构: 上海飞机设计研究院,
• 出 处: 科技视界
• 发表日期: 2015年26期
• 关键词: 贝齐尔曲线 飞机外形设计 G2连续 Bezier curve Aircraft shape design G2 continuousness

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。

Aircraft shape design, when a single curve can not meet the need to describe the complex shape, you must use a combination of curves, which need to solve the key issue is how to achieve smooth connection problem, engineering practice, G2 continuous portfolio curve by Special attention. During the transitional connection, the commonly used quadratic curve is difficult to achieve G2 continuity at both ends. Therefore, it is necessary to construct other forms of curves to achieve G2 continuity. By controlling the curvatures of the first and last end points of cubic Bezier curves, Zier curves and straight lines, curves keep the G2 continuous method.