Abstract
This paper presents a nonlinear vibration model of rolling element bearings with 5 degrees of freedom based on Hertz contact theory and relevant bearing knowledge of kinematics and dynamics. The slipping of ball, oil film stiffness, and the nonlinear time-varying stiffness of the bearing are taken into consideration in the model proposed here. The single-point local fault model of rolling element bearing is introduced into the nonlinear model with 5 degrees of freedom according to the loss of the contact deformation of ball when it rolls into and out of the local fault location. The functions of spall depth corresponding to defects of different shapes are discussed separately in this paper. Then the ode solver in Matlab is adopted to perform a numerical solution on the nonlinear vibration model to simulate the vibration response of the rolling elements bearings with local fault. The simulation signals analysis results show a similar behavior and pattern to that observed in the processed experimental signals of rolling element bearings in both time domain and frequency domain which validated the nonlinear vibration model proposed here to generate typical rolling element bearings local fault signals for possible and effective fault diagnostic algorithms research.
Highlights
Rolling element bearings are very important components in rotary machines whose dynamic behavior has a great effect on transmission systems of industry production lines
From the point of dynamics, the generation mechanism of rolling element bearings defect is thoroughly researched in this study
High resonant frequency of the system caused by local fault of the rolling element bearing generally exceeds 1–5 kHz, but the majority of resonant frequencies caused by bearing defect model built based on rotor dynamics do not reach such a high level
Summary
Rolling element bearings are very important components in rotary machines whose dynamic behavior has a great effect on transmission systems of industry production lines. From the point of dynamics, the generation mechanism of rolling element bearings defect is thoroughly researched in this study. Tiwari et al studied the influence of bearing windage on the vibration response of rigid rotor system. Cong et al proposed a rolling element bearing fault model based on the dynamic load analysis of a rotor-bearing system to make a simulation considering several parameters such as the imbalance of the rotor and the location of the defect on the surface [8]. High resonant frequency of the system caused by local fault of the rolling element bearing generally exceeds 1–5 kHz, but the majority of resonant frequencies caused by bearing defect model built based on rotor dynamics do not reach such a high level. The research provides the theoretical basis for fault diagnosis of rolling element bearing
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