Abstract: A purely rotational nonlinear dynamic model of planetary gear transmission system including time-varying mesh stiffness and synthetic mesh errors is developed to research the dynamic behavior of the wind turbine with the random fluctuation of synthetic mesh errors. Numerical method is used to simulate the planetary gear system of 1.5 MW wind turbine with the consideration of the torque fluctuation of gear transmission system caused by wind speed and transmission error random variable caused by manufacture and assembly. The statistical characteristics of responses of the planetary gear system and dynamic mesh force of gear pairs are obtained. The statistic analysis show that: the vibration features of the planetary carrier, the sun gear and the planetary gear are closely related to the external loads, and the vibration displacement of planetary carrier, the sun gear and the planetary gear have the similar trend with external loads. The discrete degree of transmission errors has a large influence on the dynamic characteristics of planetary gear system and the dynamic meshing force of gears. The vibrate value of planetary carrier, sun gear and planetary gear on reverse direction are increased with the increase of discrete degree. The randomness of transmission errors cause the random fluctuations of dynamic mesh force of gears, and the gear mesh detachment and causes mesh impact when discrete degree as a value.

Key words: Dynamics characteristics, Manufacturing error, Planetary gear, Random, Wind turbine, dynamic characteristic model, foundation vibration, response surface methodology, thrust hydraulic cylinder