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<p>Considering the effects of dynamic tooth backlash and bearing nonlinearity, a fault nonlinear dynamic model for the coupled gear-rotor-bearing (GRB) system containing crack failure is proposed. Through comparative analysis of vibration response with and without tooth root cracks, the nonlinear characteristics and failure mechanisms of crack faults are investigated. The influence of crack defects on the nonlinear dynamic behavior of the GRB system is revealed from a parametric global perspective. The results indicate that the presence of crack faults reduces the stability of the system, manifested as phase trajectory divergence and premature entry into a bilateral impact meshing state. The time–frequency fault characteristics primarily include increased vibration amplitudes and the emergence of sideband frequencies spaced by the fault characteristic frequency. It is noteworthy that the crack fault characteristics exhibit rotational speed-dependent detectability, with optimal identification windows observed in the 102–116&#xa0;Hz and 188–224&#xa0;Hz ranges, highlighting the need to overcome the limitations of traditional single-speed fault identification methods. In addition, it can be found that torsional vibration is more sensitive to crack faults than radial vibration. The research results can provide guidance for the fault diagnosis of GRB systems.</p>

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Fault dynamic characteristics analysis of gear transmission systems considering bearing nonlinearity

  • 期刊论文

  • 发表日期：

    2026年3月9日

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  • Lei Wang,
  • Suixian Liu,
  • Yongwei Yuan,
  • Shangkun Liu,
  • Yibing Liu,
  • Wei Teng

摘要

Considering the effects of dynamic tooth backlash and bearing nonlinearity, a fault nonlinear dynamic model for the coupled gear-rotor-bearing (GRB) system containing crack failure is proposed. Through comparative analysis of vibration response with and without tooth root cracks, the nonlinear characteristics and failure mechanisms of crack faults are investigated. The influence of crack defects on the nonlinear dynamic behavior of the GRB system is revealed from a parametric global perspective. The results indicate that the presence of crack faults reduces the stability of the system, manifested as phase trajectory divergence and premature entry into a bilateral impact meshing state. The time–frequency fault characteristics primarily include increased vibration amplitudes and the emergence of sideband frequencies spaced by the fault characteristic frequency. It is noteworthy that the crack fault characteristics exhibit rotational speed-dependent detectability, with optimal identification windows observed in the 102–116 Hz and 188–224 Hz ranges, highlighting the need to overcome the limitations of traditional single-speed fault identification methods. In addition, it can be found that torsional vibration is more sensitive to crack faults than radial vibration. The research results can provide guidance for the fault diagnosis of GRB systems.