Abstract
Both self-centering path and abnormal vibration orbit of a floating sun gear shaft in a star-type planetary gear train are numerically simulated taking account of effects of friction forces acting on gear teeth instead of viscous damping forces. The simulation model is composed of a floating sun gear with three degrees of freedom x, y and θ and six meshing springs with backlash. Equations of motion of the sun gear are solved by the Runge-Kutta method. Firstly, the static friction coefficient was determined by experiments. In the simulation, it is used for obtaining the self-centering path, while the dynamic friction coefficient is assuumed for obtaining the abnormal vibration orbit. The self-centering path depends on the initial position of the sun gear in the experiment. The self-centering simulation considering the friction force gives the same results as the experimental ones. It is also shown that the simulation of abnormal vibration orbit gives the good accordance with the experimental results when the friction forces instead of the damping forces are accounted in the model.
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