Abstract

For better understanding the nonlinear dynamic characteristics of 2K-H planetary gear train, a translation-torsion coupling kinetic model is established. The dimensionless kinematic differential equations of 18 degrees of freedom for the system are then derived. Meanwhile, gear's geometric eccentricity error, comprehensive transmission error, time-varying meshing stiffness, sun-planet and planet-ring gear pair's backlashes were taken into consideration. The influence of meshing frequency on gear transmission system is analyzed by phase diagram, Poincare graph and time history curve. The results show that the system changes between chaotic state and single free cycle state as the meshing frequency changes. The meshing frequency has an important effect on the planetary gear transmission. It could advise theoretical basis for further study on the influence of system parameters on the dynamic characteristics of planetary gear train. It has great theoretical significance and engineering application value for improving the dynamic performance of the planetary transmission system and the fault diagnosis of gear transmission.

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