Based on the time-varying meshing stiffness, meshing error and backlash of the two-stage planetary gear train of the wind turbine gearbox, the dynamics model of the two-stage planetary gear transmission system in generalized coordinates is established. The variable step gill integral method is used to solve the model. Using the bifurcation diagram, phase diagram, FFT spectrogram, poincaré maps and the maximum Lyapunov exponent diagram comprehensively, the influence of excitation frequency and meshing damping ratio on the system vibration response and bifurcation characteristics was analyzed. The results show that the system exhibits rich nonlinear dynamic behavior under the coupling of various nonlinear factors. With the increase of excitation frequency, the system switches between multi-periodic motion, quasi-periodic motion and chaotic motion. And the way to exit chaos is backward bifurcation. In addition, under the premise of ensuring the system transmission efficiency, properly increasing the meshing damping ratio of the system can significantly suppress the chaotic motion of the system, reduce the vibration amplitude, and improve the stability of the system.
Key words
Wind Turbine /
Two-stage planetary gear /
Nonlinear dynamic /
Bifurcation /
Chaos
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