直纹渐变曲面的自动展开

Development of Straight Transition Torse with Computer

根据微分几何的定理,对直纹渐变曲面进行构成分析和展开分析,利用曲线的参数方程对曲面上的扭曲四边形的展开元素进行计算,并采用局部坐标系的平移和旋转的方法,实现了直纹渐变曲面的自动展开。

In this paper,the construction and dcyeloprnent of the transition torsc are an- alyzed by a theorem of differential geometry.Using parameter equations of the curves,the development elements of a skew quadrangle are calculated;meantime,using part coordinate, a common algorithm is presented by which computer-aided dcvelopments of the transition torse are realized.