An application of graph theory to the kinematic analysis of planetary gear trains

This paper facilitates the conception of signal flow graph theory, which makes it possible to determine, the angular velocity of the planetary gear trains. In design of the planetary gear train, the determination of the angular velocity of these is one of the important subjects. In almost the method used for kinematics analysis of planetary gear train are inherent for gearing itself and are tedius. In order to make these analysis of the planetary gear train understandable, the article proposes the representation by algebraic vector equation and graph theory for these problems. Moreover, the article presents examples of the application of this method for the complex type, 2K-H type and 3K type paradox gear trains.