Nonlinear dynamic modeling and numerical simulation of the wind turbine's gear train

In this paper, we establish the nonlinear dynamic model of wind turbine gear train, which contains one planetary gear set and two parallel axial gear set. The strongly nonlinear factors, including time variable mesh stiffness, nonlinear backlash and meshing error, are included in our model. To convert the semi-define system with rigid displacement model into define one, we introduce the relative meshing displacement and do the non-dimensional dynamic equations of treatment. The one-periodic response, sub-harmonic response, quasi-periodic response and chaotic response of the system are acquired based on the numerical integration method of variable time-step. Such qualitative methods as the time history curve, phase trajectory, Poincaré section and power spectrum and etc. are used in the presented paper to analyze the nonlinear dynamics characteristics with different system parameter settings.