可展面的曲率线与曲率特征  

Curvature line and curvature characteristics of developable surface

作　　者：杨继新[1] 冯少岭[1] 程金石[1] 

机构地区：[1]大连轻工业学院机械工程与自动化学院,辽宁大连116034

出　　处：《大连轻工业学院学报》2006年第1期51-54,共4页Journal of Dalian Institute of Light Industry

基　　金：辽宁省教育厅基金资助项目(20061214;05L071);大连市科技局基金资助项目(2003A1GX172;2005A10GX104)

摘　　要：曲面的可展化即用可展曲面来逼近不可展的复杂曲面,其理论基础是可展曲面的特性。本文通过可展曲面的微分不变量,导出可展面的曲率线与曲率特征,并以锥面和切线曲面为例阐明这些特性的几何意义。The paper deals with curvature line and curvature characteristic of developable surface based on differential invariant of developable surface and it details curvature line and curvature characteristic of cone and tangent surface. The work has contributed to the understanding of important characteristic of developable surface, which is within the scope of intrinsic differential geometry. The results presented in this paper support theory and method of developable approximation and development for complex surface.

关 键 词：可展面 曲率 切线曲面 

分 类 号：O186[理学—数学] TG38[理学—基础数学]