Journal of Machinery Manufacture and Reliability ( IF 0 ) Pub Date : 2023-04-19 , DOI:
10.3103/s1052618823010089AbstractOn the example of planar mechanisms with rotational pairs, a comparison is made of two types of graphs that describe their structure. Graphs G of the first type, corresponding to hinged-lever mechanisms, consist of vertices corresponding to the hinges of the mechanism, and of edges corresponding to its levers. The vertices of graphs \(\mathcal{G}\) of the second type correspond to links of the mechanism, and the edges correspond to kinematic pairs. It turns out that in the absence of combined hinges, the graphs G and \(\mathcal{G}\) are equivalent for describing the structure of mechanisms. In the presence of combined hinges, the graph graph \(\mathcal{G}\) and the graph \(\mathcal{G}{\kern 1pt} '\) obtained by its modification in the theory of mechanisms, in contrast to the graph G, do not provide complete information about the structure of the mechanism.