两圆锥相接平面的定位计算及其应用

用自动绘图机绘制接口为平面曲线的两圆锥表面展开图,先要准确计算接口平面的位置,再按接口展开的曲线方程,编制两圆锥相交后的表面展开的绘图程序。本文探讨了不同锥度的两圆锥相接平面的定位计算,得出了两圆锥相接平面的定位计算公式。最后,应用本文所推导的公式,简化和论证了有关圆锥相接的若干作图方法。

Location Calculation of Connected Plane Between Two Cones and Its Application

For the Construction of surface:development of two intersecting cones connected by a plane curve with an automatic plotter, the position of the connected, plane of the two cones should first be exactly calculated. Then, the, graphic program of surface development of the two intersecting cones can be written according to the developing equation of the intersector curve, In this article, the location calculation of the connected plane of two different taper cones is discussed and the equations for the location calculation of two cones connected by a plane curve are derived. Finally, on the basis of these equations, some simplified construction, methods are described and proved.