A dynamic model of two-stage planetary gear plus one-stage parallel shaft gear transmission system for wind turbines is established
which comprehensively considers the effects of internal and external excitations and a variety of nonlinear factors. The influence mechanism of the excitation frequency and the backlash on the dynamic characteristics of the system is deeply studied. The results show that with the variation of excitation frequency
the system mainly exhibits periodic motion
while chaos is readily induced when the excitation frequency approaches the system's natural frequency or the principal subharmonic resonance region. Crisis and period-doubling bifurcation are the main paths to chaos for the system. Increasing the backlash leads to the system undergoing a complex evolutionary process from periodic motion to chaos
and then back to periodic motion
during which attractor coexistence and jump discontinuity phenomena exist. Through synergistic optimization of backlash design and avoidance of the principal subharmonic resonance region
unstable phenomena such as chaos can be effectively suppressed
significantly enhancing the stability and reliability of multistage planetary gear systems.
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