Abstract
A six-degree-of-freedom gear pair torsional vibration model considering time-varying stiffness, damping, dynamic backlash, bearing radial clearance and comprehensive wear of the tooth surface is established by using the lumped mass method in this paper. According to the comprehensive wear of tooth surface, the wear severity is divided into non-wear, slight wear and severe wear. The triangular function is used to simulate the wear failure of tooth surface. The effects of backlash, bearing clearance and comprehensive wear of tooth surface on the steady-state response of the gear system are analyzed respectively. The results show that the radial clearance of the bearing intensifies the vibration and causes the step phenomenon at high speed. The backlash increases the amplitude of vibration, the meshing force and the impact of back of teeth. Moreover, the side frequency bands generated by amplitude modulation appear on both sides of bearing vibration frequency, and the continuous spectrum line appears near the meshing frequency as well. The increase of wear leads to the increase of transmission error amplitude, tooth back impact and the disappearance of side frequency bands on both sides of bearing vibration frequency. The main frequencies in the spectrum are meshing frequency and its high-order harmonic frequency, and the modulated sideband appears near the meshing frequency and its high-order harmonic.
Highlights
The gear system is an elastic mechanical system consisting of a gear pair, a drive shaft, a bearing and a box
This paper focuses on the effects of different backlash, bearing clearance and tooth surface wear on the dynamic response of the gear, and the dynamic transmission error and vibration severity of the gear with different degrees of wear
When the gears rotate at high speed, the maximum displacement response of the system appears a step phenomenon, but the degree of the response tends to slow down
Summary
The gear system is an elastic mechanical system consisting of a gear pair, a drive shaft, a bearing and a box. Xiang et al [4] established a bending-torsion coupling dynamic model of bearing-rotorgear system considering backlash, bearing clearance, eccentricity of gear teeth and time-varying stiffness, and studied. Zhang et al [6] established a non-linear dynamic model of a composite planetary gear set with translational and torsional vibrations, and analyzed the comprehensive effects of meshing stiffness, backlash and bearing clearance on the load-sharing performance. Gou et al [7] established a five-degree-of-freedom gear-rotor-bearing system dynamics model, and studied the influence of frequency, clearance, bearing clearance, comprehensive transmission error and stiffness on the non-linear dynamics of the system. This paper focuses on the effects of different backlash, bearing clearance and tooth surface wear on the dynamic response of the gear, and the dynamic transmission error and vibration severity of the gear with different degrees of wear.
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