Curvature Analysis of Conjugate Surfaces via a Tensor Approach

摘要：

　　A novel invariant approach is proposed for derivation of curvature relationship between conjugate surfaces of line contact.Unlike other approaches found in the literature,tensor analysis is applied to the derivation process in which rigid-body motion is represented by rotation tensor and the local geometry of surface is expressed by curvature tensor,and the final result is given in a clear and compact form.An example of helical gear is provided to illustrate the application of the proposed approach.

关键词： Theory of gearing Tensor analysis Curvature tensor Line contact

作者: Peng Wang Yidu Zhang Jie Deng

作者单位: State Key Laboratory of Virtual Reality Technology and Systems, Beihang University, Beijing 100191, China

会议类型: 国际会议

会议名称: The 9th International Conference on History of Mechanical Technology and Mechanical Design (第9届中日机械技术史及机械设计国际会议(ICHMTMD 2012))

会议地点: 台湾

会议语种:英文

页码: 251-255

在线出版日期: 2012-03-23（万方平台首次上网日期，不代表论文的发表时间）