文献类型：期刊文献

英文题名：Applications of the Exponential Function of the Euclidean Motion Group to the Theory of Gearing

作者：Lei, Baozhen[1];Loewe, Harald[2];Wang, Xunwei[1]

第一作者：雷保珍

通讯作者：Lei, BZ[1]

机构：[1]Beijing Union Univ, Coll Mech Engn & Appl Elect Technol, Beijing 100020, Peoples R China;[2]Tech Univ Carolo Wilhelmina Braunschweig, Inst Computat Math, D-38106 Braunschweig, Germany

第一机构：北京联合大学机器人学院

通讯机构：[1]corresponding author), Beijing Union Univ, Coll Mech Engn & Appl Elect Technol, Beijing 100020, Peoples R China.|[1141739]北京联合大学机器人学院;[11417]北京联合大学;

年份：2014

卷号：2014

外文期刊名：ADVANCES IN MECHANICAL ENGINEERING

收录：;Scopus(收录号：2-s2.0-84934936382);WOS:【SCI-EXPANDED(收录号:WOS:000340112300001)】；

基金：This research has received financial support from the National Natural Science Foundation of China (no. 51205025) and was supported by the Funding Project for Academic Human Resources Development in Beijing Union University of China (BPHR2012E02), for which the authors are very appreciative.

语种：英文

摘要：The present paper provides a first step to a new approach to the theory of gearing, which uses modern differential geometry in order to ensure a strict and coordinate-independent formulation. Here, we are mainly concerned with a basic equation, namely, the equation of meshing, of two rotating surfaces in mesh. Since we are able to solve this equation by the time parameter, we derive parameterizations of the mating pinion from a bevel gear as well as a parameterization for gears produced by special machine tools.