中文摘要：

介绍平面单铰运动链、平面复铰运动链、齿轮（凸轮）运动链常规的拓扑表达模型。然后，以单铰运动链的拓扑图为基础，提出平面复铰运动链、齿轮（凸轮）运动链的新拓扑图模型，并分析新拓扑模型的特点，给出含复铰的运动链和齿轮（凸轮）运动链的拓扑模型与平面单铰运动链的联系。新拓扑模型的优点在于与平面单铰运动链的模型相统一，方便了基于计算机的机构运动链自动综合和同构判别，从而为实现运动链拓扑图的唯一数字化，机械概念设计的自动化、智能化和网络化创造了条件。给出这几类运动链的统一的同构判别方法。

英文摘要：

The conventional topological representations of simple joint kinematic chains, multiple joint chains and geared（cam） chains are introduced. Then based on the topological graph of simple joint kinematic chains, new topological models of multiple joint kinematic chains and geared（cam） kinematic chains are presented, and the characteristics of the new topological graphs are analyzed. The association between the topological graph of simple joint kinematic chains and that of the multiple joint and geared（cam） kinematic chains is also addressed. One of the merits of the new topological graphs is that they accord with topological graphs of the simple joint kinematic chains. The new topological graph provides a basis for automated computer-based structure synthesis and isomorphism identification, and paves the way for the unique digital representation of the topological graphs of kinematic chains and automated intelligent network-oriented mechanical design. A uniform method of isomorphism identification for the three kinds of kinematic chains is proposed.