Abstract
Current applications of graph theory involve gear modeling for dynamic analysis, kinematic analysis, synthesis, structural analysis, optimization of gear chains, and automatic design based on the so-called graph grammars. Some tasks can be solved only with methods from graph theory, for example, the enumeration of design solutions. The purpose of modelling an automatic transmission with graphs can be versatile, namely: determining the ratio of individual gears, analyzing the speed and acceleration of individual rotational elements. At a later stage, the methods of decision logical trees can be used to analyze the functional schemes of selected gears. However, for graphs that are transmission models, tree structures that play parametrically can be used. This allows for the generalization and extension of the algorithmic approach.
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