摘要
利用三维空间齐次坐标变换中的平移变换和旋转变换推导了圆柱体在直角坐标系中的一般方程 ,求出一般条件下的多管、板相贯的相贯线方程 .利用空间解析几何原理推导了多管、板相贯坡口的两面角和实际切割角的表达式 ,建立了切割多管、板相贯坡口的数学模型 .
WT5”BZ]According to the traslation transformation and vortex transformation of the homogeneous coordinate transformations in the three dimensions,the general equation of cylinder is deduced in the rectangular coordinates,and the general equation of intersecting curve is established.The expressions of dihedral angle and cutting angle of the intersecting groove are deduced by way of space analytical geometry.So the mathematical model of cutting intersecting groove of multiple pipes and plates are built.This model may be applied to the welding of similar joints. [WT5”HZ]
出处
《天津大学学报（自然科学与工程技术版）》
EI
CAS
CSCD
2000年第5期583-586,共4页
Journal of Tianjin University：Science and Technology
关键词
相贯线
两面角
数学模型
管口切割
坡口
cutting
intersecting curve
dihedral angle
coordinate transformation
mathematical model
