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A finite element model for a three-ring gear reducer was established to analyze the reasons of the heavy vibration and the bearing fatigue appeared during operation by using ANSYS. The complicated non-linear contact problem in each reducer part is simplified into a linear problem with the concept of degree of freedom coupling and restriction. By solving the finite element model, the reactions on internal gears and bearings were obtained. The experimental results indicate that the finite element analysis has a satisfactory accuracy.