A new model for spall-rolling-element interaction

Kogan, Gideon; Bortman, Jacob; Klein, Renata

doi:10.1007/s11071-016-3037-1

Cited by 43 publications

(19 citation statements)

References 19 publications

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“…Acceleration during the impact of rolling element with fault on the outer race was presented by Kogan et al. 21 and validated by observing sensors attached with a setup. Outer race defect (ORD) severity assessment of bearing was presented by Cui et al.…”

Section: Introductionmentioning

confidence: 94%

“…Mishra et al 20 developed simulation models for ball bearing using MATLAB Simulink and bond graph with fault on both races and ball. Acceleration during the impact of rolling element with fault on the outer race was presented by Kogan et al 21 and validated by observing sensors attached with a setup. Outer race defect (ORD) severity assessment of bearing was presented by Cui et al 22 and vibration behavior was observed at various defect sizes.…”

Section: Introductionmentioning

confidence: 94%

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Influence of roller defect and coupled roller–inner–outer race defects on the performance of cylindrical roller bearing

Patel

Upadhyay

2019

Proceedings of the Institution of Mechanical Engineers, Part K:

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In the present study, a novel mathematical model is developed for the deformation between roller and races of cylindrical roller bearing using the effect of tilting and skewing of roller due to thrust load, radial deflection due to normal load, radial internal gap, and individual defect on roller as well as coupled defect on all races and roller. Also, novel roller defect function is proposed for the preparation of simultaneous nonlinear equations. MATLAB is used to solve nonlinear equations for equilibrium conditions of deflection, radial load, thrust load, moment in plane, and total roller loading. However, waviness due to surface irregularity on both races as well as out-of-balance assembly is not considered in this analysis. The bearing is analyzed for individual roller defect as well as coupled races–roller defects to identify the behavior of bearing under speed-varying conditions. The equation of motion is solved through Newmark-β technique. Defect segment of roller consecutively in contact with both races results in higher acceleration. Time-to-impact concept is utilized for the analysis. The acceleration during roller–race defect interaction with intermittent connection is applied in the model for observation. The outcomes are shown in the time domain, orbit, and envelope analysis, which describe the complexity of the system with speed variation for roller defect and coupled roller–inner–outer race defects. The periodic, quasi-periodic, and chaotic phenomena are observed for roller and coupled defects. Simulated frequencies for all defects are compared with theoretical frequencies to validate the model.

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Section: Introductionmentioning

confidence: 94%

Section: Introductionmentioning

confidence: 94%

Influence of roller defect and coupled roller–inner–outer race defects on the performance of cylindrical roller bearing

Patel

Upadhyay

2019

Proceedings of the Institution of Mechanical Engineers, Part K:

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“…The stability problems of rotor-bearing systems are investigated in detail. Kogan et al [19] proposed a new model for spall-rolling-element interaction. The nonlinear multibody model includes the interaction between the rolling element and a spalled outer race.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear Dynamics Analysis of a Rolling Bearing

Smagala¹,

Kęcik²

2021

JESA

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A numerical analysis of the nonlinear bearing model about two degrees of freedom has been presented in this paper. The contact between a ball and ring by Hertz theory is described. Influence of the number of balls, shaft rotation and clearance on the acceleration were investigated in detail. Three numbers of balls from 11 to 16 were analyzed. The clearance level in the range of 0-71μm has been studied. It has been shown that the acceleration responses are different, depending on the vibration direction and are usually higher when the radial internal clearance and the shaft speed are increased. The higher ball number caused that the accelerations decreased in both directions. Moreover, two dynamic indicators that can be used for comparison bearing dynamics have been proposed. These obtained results are useful for understanding the vibration response mechanism from a practical point of view.

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“…Khanam et al. (2016) and Kogan et al. (2017) developed a theoretical model based on a forcing function to investigate the influences of LOD sizes and edge radius on vibration characteristics of an unlubricated ball bearing.…”

Section: Introductionmentioning

confidence: 99%

An improved analytical model for a lubricated roller bearing including a localized defect with different edge shapes

Liu

Shao

2017

Journal of Vibration and Control

113

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Vibrations of a roller bearing (RB) with a localized defect (LOD) are determined by LOD edge shapes, which can be used to detect and diagnose the LODs. Therefore, it is very helpful to analyze the relationships between impulses and LOD edge shapes for detection and diagnosis of the early LODs. In this study, an improved analytical model for a lubricated RB with a LOD considering different edge shapes is proposed. The LOD edge propagation is determined by the size of small cylindrical surface at its edge. A time-varying impact force (TVIF) model for the LOD with different edge shapes is also presented depended on Hertzian contact theory. The time-varying displacement excitation (TVDE) and time-varying contact stiffness coefficient (TVSC) between the roller and LOD edges can be formulated by the presented model, which cannot be formulated by the previous models considering sharp edges in the literatures. Influences of LOD edge shapes on vibrations of the unlubricated and lubricated RB are investigated. The numerical results show that the amplitude and impulse waveform of the accelerations of the RB will be affected by the LOD edge shape and lubricated oil; however, the peak frequencies in the spectrum are slightly influenced by the LOD edge shape and lubricated oil. It seems that the presented numerical results can give some guidance for the incipient LOD detection and diagnosis for RBs.

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A new model for spall-rolling-element interaction

Cited by 43 publications

References 19 publications

Influence of roller defect and coupled roller–inner–outer race defects on the performance of cylindrical roller bearing

Influence of roller defect and coupled roller–inner–outer race defects on the performance of cylindrical roller bearing

Nonlinear Dynamics Analysis of a Rolling Bearing

An improved analytical model for a lubricated roller bearing including a localized defect with different edge shapes

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