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Nonlinear characteristics of a multi-degree-of-freedom wind turbine’s gear transmission system involving friction

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Abstract

In this study, a 42-degree-of-freedom (42-DOF) translation–torsion coupling dynamic model of the wind turbine’s compound gear transmission system considering time-varying meshing friction, time-varying meshing stiffness, meshing damping, meshing error and backlash is proposed. Considering the different meshing between internal and external teeth of planetary gear, the time-varying meshing stiffness is calculated by using the cantilever beam theory. An improved meshing friction model takes into account the mixed elastohydrodynamic lubrication to calculate the time-varying meshing friction. The bifurcation diagram of the excitation frequency is utilized to analyze the bifurcation and chaos characteristics of the system. Meanwhile, the nonlinear dynamic characteristics of the gear system are identified by using the time domain diagrams, phase diagrams, Poincare maps and amplitude–frequency spectrums of the gear system. The results show that the system has complex bifurcation and chaotic behaviors including periodic, quasi-periodic, chaotic motion. The bifurcation characteristics of the system become complicated and the chaotic region increases considering the effects of friction in the high-frequency region.

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Availability of data and materials

The datasets generated during and analyzed during the current study are available from the corresponding author on reasonable request.

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Acknowledgements

The research reported in the paper is part of the projects supported by National Natural Science Foundation of China (Grant No. 52075392).

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Authors and Affiliations

  1. Department of Mechanical Engineering, School of Power and Mechanical Engineering, Wuhan University, Wuhan, 430072, People’s Republic of China

    Qiang Zhang, Xiaosun Wang, Shijing Wu, Shaobo Cheng & Fuqi Xie

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  1. Qiang Zhang
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  2. Xiaosun Wang
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  3. Shijing Wu
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  4. Shaobo Cheng
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  5. Fuqi Xie
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Correspondence to Xiaosun Wang.

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Zhang, Q., Wang, X., Wu, S. et al. Nonlinear characteristics of a multi-degree-of-freedom wind turbine’s gear transmission system involving friction. Nonlinear Dyn 107, 3313–3338 (2022). https://doi.org/10.1007/s11071-021-07092-w

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  • DOI: https://doi.org/10.1007/s11071-021-07092-w

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