Chosen Aspects of Analysis and Synthesis of Coupled and Complex Planetary Gears via Search and Contour Graphs Modelling

The paper presents kinematic analysis of a coupled and planetary gear with double bevel planetary wheels. The method is based on the concept of contour graphs assignment. Exemplary 1-dof and 2-dof epicyclic gear trains, and a complex planetary gear train are used to illustrate the application of this method. The well-known Willis’ formulas were utilized for comparisons. When designing planetary gears, it is difficult to determine all the parameters at the beginning of the design, in particular some parameters are selected on the basis of preliminary calculations. Graph methods allow to create a model of the analyzed gear, then determine the detailed ratios and algorithmically determine other quantities and their parameters. Isomorphism identification in the synthesis process and enumeration of 1- dof epicyclic gear train graphs can be found in cited bibliography. The signal flow graphs were utilized for choice of acceptable intervals for number of teeth. All together gives a spectrum of graph application for investigation of complex and coupled planetary gears.