Jixie chuandong (Oct 2023)

Nonlinear Dynamics Analysis of the Wind Turbine Gear Transmission System Considering Friction Effect

  • Xu Fan,
  • Liu Wenbin,
  • Zhang Haibo,
  • Zhang Qiang,
  • Wu Shijing,
  • Wang Xiaosun,
  • Duan Jiujun

Journal volume & issue
Vol. 47
pp. 31 – 42

Abstract

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A torsional nonlinear dynamics model of the wind turbine gear transmission system is established, with the friction effect taken into account. The time-varying meshing stiffness and meshing error are analyzed and introduced, and the influence of nonlinear factors such as backlash and friction torque is considered. After nondimensionalization, the dynamics differential equations are obtained. Runge-Kutta methods are adopted to solve equations and the nonlinear dynamic response of the wind turbine gear transmission system is acquired. The bifurcation diagram of the system changing with meshing frequency is plotted when the friction coefficients are 0 and 0.07. The nonlinear dynamic characteristics of the system are studied by qualitative and quantitative methods such as the Poincare section, power spectrum and correlation dimension. The results show that there are many subharmonic components in the periodic response of the system under friction excitation. Friction excitation induces more frequency components than when the friction is not introduced. Friction excitation reduces the chaotic interval of the low frequency region and makes it enter the periodic or quasi-periodic motion state more quickly. Friction excitation which makes the system motion more complicated can also reduce the period interval of the high frequency region and lengthen the quasi-period interval and chaotic interval. The theoretical guidance is provided for the fault mechanism research, structure design and optimal working condition selection of the wind turbine gear transmission system.

Keywords