锥齿轮周转轮系运动学分析  

Kinematic analysis of bevel gear epicyclic trains

作　　者：薛会玲[1] 刘更[1] 杨小辉[1] XUE Huiling LIU Geng YANG Xiaohui(Shaanxi Engineering Laboratory for Transmissions and Controls, Northwestern Polytechnical University, Shaanxi Xi＇an, 710072, China)

机构地区：[1]西北工业大学陕西省机电传动与控制工程实验室,陕西西安710072

出　　处：《机械设计与制造工程》2016年第10期29-33,共5页Machine Design and Manufacturing Engineering

基　　金：高等学校学科创新引智计划资助项目(B13044)

摘　　要：介绍了一种锥齿轮周转轮系运动学分析方法。建立轮系有向图模型,得到节点-边关联矩阵、路径矩阵、生成树矩阵和回路基矩阵,结合螺旋理论,通过将轮系中各运动副表示成螺旋的形式,获得轮系构件相对角速度方程及各构件的绝对角速度。以汽车后桥差速器为例,给出了系统的分析过程。该方法具有简单、规范、通用性较强、易于编程的特点,可适用于多自由度、结构复杂的空间锥齿轮周转轮系,为其自动化、智能化设计提供了理论依据。It presents a kinematic analysis method for the bevel gear epicyclic trains. Using graph theory,it builds the directed graph model,obtains the node-edge incidence matrix,path matrix,spanning tree matrix and cycle basis matrix. Then it uses a screw to describe a kinematic pair of the gear train,acquires relative angular velocity equation and link absolute angular velocities of the gear train. Taking car rear axle differential as an illustration,it establishes the systematic analysis process. The results show that the method is simple,normative and workable for various spacial bevel gear epicyclic trains with complex structure and multi-degree of freedom,and provides a theoretical basis for the automatic and intelligent design of gear trains.

关 键 词：锥齿轮周转轮系 运动学分析 有向图 螺旋理论 

分 类 号：TH132.4[机械工程—机械制造及自动化]