Spacelike developable surfaces through a common line of curvature in Minkowski 3-space

被引：3

作者：

Li, Cai-Yun ^{[1
]}

Zhu, Chun-Gang ^{[2
]}

Wang, Ren-Hong ^{[2
]}

机构：

[1] Dalian Univ Technol, Sch Sci, Panjin 124221, Peoples R China

[2] Dalian Univ Technol, Sch Math Sci, Dalian 116024, Peoples R China

来源：

JOURNAL OF ADVANCED MECHANICAL DESIGN SYSTEMS AND MANUFACTURING | 2015年 / 9卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Spacelike developable surface; Line of curvature; Frenet frame; DESIGN;

D O I：

10.1299/jamdsm.2015jamdsm0050

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

This paper studies the problem to construct a spacelike developable surface possessing a given non-null parametric curve as the line of curvature in Minkowski 3-space. By using Frenet frame to express the surface, we derive the necessary and sufficient conditions when the resulting spacelike developable surface is cylinder, cone or tangent surface. Finally, we give some representative examples.

引用

页数：9