DISPLACEMENT ISOMORPHISM OF PLANETARY GEAR TRAINS

This paper presents an efficient method for the identification of the displacement isomorphism of planetary gear trains with any number of g ear pairs. For every plantary gear train, the corresponding displaceme nt graph and rotation graph are used to characterize its kinematic str ucture. Next, a mathematical representation, called the Structural Cod e, is proposed to represent the topological structure of the displacem ent graph and rotation graph of a planetary gear train. By comparing t he corresponding Structural Codes, the linear and rotational displacem ent isomorphism of planetary gear trains can be identified in an unamb iguous way.