关键词: 机械系统, 运动链, 图论, 拓扑网络, 自动识别

Abstract:

By introducing the graph theory in the analysis of mechanical systems, this paper considers a mechanism as a network system of graph theory, employs the graph knowledge to describe the topology pattern and structure of a mechanism. Then, according to the characteristics of the constrained motion of a mechanism, a description method of the topology network is explored, the new concepts of incidence matrix and circuit matrix of the mechanism di- graph are put forward, an automatic computer identification algorithm of the kinematic chain of a mechanism is pro- posed, and on this base the motion equations of mechanical systems can be rapidly established for computer-aided analysis. The research results have been successfully applied to the development of a programmed software MSCAA （ mechanical-system computer-aided analysis）.

Key words: mechanical system, kinematic chain, graph theory, topology network, automatic identification