摘要
运用曲面到平面的等距变换原理,将可展曲面及其上的截交线或相贯线变换到平面上,结合工程应用讨论锥柱相贯管道展开图中展开曲线方程,为计算机绘制展开曲线提供了一个简捷、精确的数学模型。
The intersection of developable surfaces is transformed on the plane by using the theory of isometric transformation. The curve equation in the development diagram of the intersection of cone with cylinder are discussed in this paper. Thus, a forthright and accurate mathematical models for developing curves drawing by computer is gived.
出处
《工程图学学报》
CSCD
1999年第4期7-12,共6页
Journal of Engineering Graphics
关键词
可展曲面
等距变换
锥
柱
相贯线
展开曲线方程
developable surface, isometric transformation, first fundamental forms