Kinematic Analysis Of Complex Gear （运动分析复杂的齿轮）.pdfVIP

Proceedings of the World Congress on Engineering 2010 Vol II WCE 2010, June 30 - July 2, 2010, London, U.K. Kinematic Analysis Of Complex Gear Mechanisms Julie Penaud, Daniel Alazard ∗ Abstract—This paper presents a general kinematic complex and can lead to human mistakes [5]. The graph analysis method for complex gear mechanisms. This theory method can be easily computerized, and can give approach involves the null-space of the adjacency the velocities of all elements of the gear trains. It can matrix associated with the graph of the mechanism also be adapted for bevel gears [6]. It has been studied weighted by complex coefficients. It allows to com- by Nelson in [7] so as to find the angular velocities of pute the rotational speed ratios of all the links and all links in bevel epicyclic gear trains. It is also limited the frequency of all the contacts in this mechanism to gear trains whose input and output axes are co-linear. (including roll bearings). This approach is applied to various examples including a two degrees of freedom In this paper, a new kinematic analysis method, based car differential. on the work of Nelson, is introduced. It’s objective is to list all the mechanical contacts between all elements Keywords: Kinematic analysis, gear train, graph the- ory, car differential