辅助圆锥面法求相贯线的研究

On finding intersection by the method of auxiliary cone surface

在总结两回转曲面相贯线情况和求法的基础上 ,阐述了辅助曲面法求相贯线的基本原则 ,即若两回转体轴线相交 ,且平行于某一投影面时 ,可选一辅助圆锥面与两立体相交 ,且交线为直线或圆 ,两组交线的交点即为相贯线上的点。文章着重介绍了辅助圆锥面法求相贯线的原理 ,此外 ,还结合实例进行了分析 。

Based on summarizing some methods of finding the intersection of two curvic surfaces of revolution,this paper analyzes the basic axiom of finding intersection by the method of auxiliary curvic surface. If the axis of two stereoes intersects paralleling a projection surface,then select an axiliary cone surface to intersect with the two stereoes,and their intersection is a line or circle.The point of two intersections is the point of the intersetion.The principle of finding intersection by the method of auxiliary cone is mainly introduced.Examples are given and analyzed in the paper to demonstrate the application of the method.