Abstract

This article presents a dynamic model of ball bearings with a localised defect on the outer raceway to analyse the effect of damping variation on the vibration response of defective bearings. First, a dynamic model is built based on the Hertzian contact theory, the interaction between the bearing inner ring, outer ring, and rolling element; the effect of damping and stiffness is considered; and the vibration equation of the bearing system is solved by the fourth-order Runge–Kutta algorithm. Then, the damping ratios of the experimental bearings using different types of viscosity lubricating grease are measured and compared with the damping ratios of the dynamic model; in addition, the viscous damping coefficient of the experimental bearings are calculated. Finally, the numerical analysis and experimental results show that the grease with a different level of viscosity affects the vibration signal of the defective bearing.

Highlights

  • The primary function of a lubricant is to lubricate the rolling and sliding contacts of bearings to enhance performance through the prevention of wear and to provide damping forces for bearing contacts

  • A common characteristic of these three working conditions is that the motion ranges of the inner and outer rings are obviously smaller with the increase of the viscosity of the lubricant; this is more obvious than the effect of lubricant on the vibration response and contact force

  • The bearing eccentricity appears in some of the bearing experiments, which affect the experimental results to a certain extent, the different types of lubricants do have a significant effect on the vibration amplitude of the defective characteristic frequency, affecting the numerical results of the defective bearing model; the viscous damping coefficient variation of the bearing caused by the lubricant is a factor similar to the rotational speed and applied load; it must be considered when establishing the vibration model of the defective bearing

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Summary

Introduction

The primary function of a lubricant is to lubricate the rolling and sliding contacts of bearings to enhance performance through the prevention of wear and to provide damping forces for bearing contacts. A bearing model with 4 degrees of freedom is established, and the effects of rotational speed, imbalance force, clearance, damping, and waviness on the vibration response of the model are considered. It shows that the condition of bearing will affect damping. This causes the initial parameters of the defective bearing vibration model to be inconsistent with the actual situation, which will affect the final calculation results To solve this problem, a vibration model of the ball bearing is established based on Hertzian contact theory. K is the contact stiffness between the ball and the raceway, and the stress distribution between the ball and the raceway is given by Hertzian contact theory rffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi

À a2 À b2
Experimental results analysis
Conclusion
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