【摘要】 把微分几何中曲线与曲面之间的“切触”概念应用于复杂曲面的数控加工,提出用圆柱铣刀和圆锥盘铣刀的外圆在五坐标联动中加工三维自由曲面的最佳切触条件.文章的特色是利用曲线与曲面之间可以比曲面与曲面之间贴合得更紧密的特点,把微分几何里的曲线与曲面之间的“切触”概念应用于曲面数控加工.更多还原

【Abstract】 This paper applies the concept of “contact” in Differential Geometry into the machining of sculptured surfaces, presentes the contact principle of the machining of complicated surfaces, using the circumference circle of the cylindrical cutter to sweep curved surfaces instead of ball-end mill. This is a high effective method. In this paper an innovative theory for machining complicated surfaces is presented. By using a flat-end mill instead of ball-end mill, and adjusting the axis related to the surface, both the swept surface and the required surface have the same curvature, up to as high as 3rd order.更多还原