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<p>In order to reveal the influence of tooth surface friction on the vibration and noise of the gearbox, a calculation method for the vibration and noise of a two-stage gear reducer under multi-source time-varying excitation was established. Considering the effects of time-varying stiffness of bearings, time-varying stiffness of gears, and flexibility of the transmission shaft, a dynamic model of the two-stage gear reducer considering tooth surface friction was established using the finite element method. The dynamic equations were solved using the Newmark time-domain integration method to obtain the dynamic load of the bearings. The modal analysis of the gearbox was carried out using finite element simulation, and the vibration response of the shell was calculated using the modal superposition method. The influence of tooth surface friction on the dynamic load of the bearings and the radiation noise of the gearbox was analyzed. Through the gearbox radiation noise and bearing acceleration tests, the accuracy of this model and the reliability of the research results were verified. The results show that after considering tooth surface friction, the fluctuation amplitude of the dynamic load of the bearings increases, the excitation components increase, and sidebands are generated simultaneously. The effective sound pressure levels on both sides of the housing increase by 2.1&#xa0;dB and 2.0&#xa0;dB respectively. Considering tooth surface friction can more accurately reflect the vibration and noise situation of the housing. With the increase of tooth surface roughness, the fluctuation value of the dynamic load of the bearings increases, and the noise level of the housing increases. However, as the sound pressure level increases, the influence of tooth surface roughness on the effective sound pressure level of the housing gradually decreases. The radiation noise of the box reaches its peak at the frequencies of each gear meshing and their harmonic frequencies. The sound pressure level increases in the resonance zone. When designing the gearbox, the generation of the resonance zone should be avoided, which provides a theoretical basis for the design and vibration reduction of the reducer.</p>

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Vibration and noise of two-stage gear reducer considering tooth surface friction

  • 期刊论文

  • 发表日期：

    2026年3月30日

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  • Guolong Ren,
  • Jianxing Zhou,
  • Quanwei Cui

摘要

In order to reveal the influence of tooth surface friction on the vibration and noise of the gearbox, a calculation method for the vibration and noise of a two-stage gear reducer under multi-source time-varying excitation was established. Considering the effects of time-varying stiffness of bearings, time-varying stiffness of gears, and flexibility of the transmission shaft, a dynamic model of the two-stage gear reducer considering tooth surface friction was established using the finite element method. The dynamic equations were solved using the Newmark time-domain integration method to obtain the dynamic load of the bearings. The modal analysis of the gearbox was carried out using finite element simulation, and the vibration response of the shell was calculated using the modal superposition method. The influence of tooth surface friction on the dynamic load of the bearings and the radiation noise of the gearbox was analyzed. Through the gearbox radiation noise and bearing acceleration tests, the accuracy of this model and the reliability of the research results were verified. The results show that after considering tooth surface friction, the fluctuation amplitude of the dynamic load of the bearings increases, the excitation components increase, and sidebands are generated simultaneously. The effective sound pressure levels on both sides of the housing increase by 2.1 dB and 2.0 dB respectively. Considering tooth surface friction can more accurately reflect the vibration and noise situation of the housing. With the increase of tooth surface roughness, the fluctuation value of the dynamic load of the bearings increases, and the noise level of the housing increases. However, as the sound pressure level increases, the influence of tooth surface roughness on the effective sound pressure level of the housing gradually decreases. The radiation noise of the box reaches its peak at the frequencies of each gear meshing and their harmonic frequencies. The sound pressure level increases in the resonance zone. When designing the gearbox, the generation of the resonance zone should be avoided, which provides a theoretical basis for the design and vibration reduction of the reducer.