Analysis of Nonlinear Phenomena in High Speed Ball Bearings due to Radial Clearance and Unbalanced Rotor Effects

Upadhyay, S. H.; Harsha, S. P.; Jain, S. C.

doi:10.1177/1077546309104188

Cited by 62 publications

(47 citation statements)

References 24 publications

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“…According to Upadhyay and Harsha [12], a nonlinear damping formula, correlating the contact damping force with the equivalent contact stiffness and contact deformation rate is given by,…”

Section: Dissipative Force For Roller Bearingmentioning

confidence: 99%

“…Wang Liqin et al [11] predicted result for Rotor Roller Bearing System with Radial Clearances and Waviness. Upadhyay et al [12] analysis the Nonlinear Phenomenon in high speed Ball Bearing System due to Radial clearance and unbalanced rotor effects. Cao et al [13] made a dynamic model for double-row spherical roller bearing considering surface defects, preloads, and radial clearance, local as well as distributed defect in his model.…”

Section: Introductionmentioning

confidence: 99%

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Effect of Localized Defect on the Vibration Behavior of Cylindrical Roller Bearing-Rotor System

Patel¹,

Upadhyay

2013

Lecture Notes in Mechanical Engineering

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This paper presents a mathematical model to investigate the vibration behavior of a rotor-bearing system due to localized defects of inner race and outer race for cylindrical roller bearing. In the formulation, the contacts between rolling elements and inner/outer races are considered as nonlinear springs as well as nonlinear damping. The governing equations of motion are formulated using energy approach,

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“…According to Upadhyay and Harsha [12], a nonlinear damping formula, correlating the contact damping force with the equivalent contact stiffness and contact deformation rate is given by,…”

Section: Dissipative Force For Roller Bearingmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Effect of Localized Defect on the Vibration Behavior of Cylindrical Roller Bearing-Rotor System

Patel¹,

Upadhyay

2013

Lecture Notes in Mechanical Engineering

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“…Bai and Xu [45] presented a 5-DOF dynamic model to study the dynamic performance of ball bearings due to the effect of both internal clearance and waviness at high speed, where the centrifugal force and gyroscopic moment from balls were taken into account. Upadhyay et al [46] developed a mathematical model of a rotor bearing system to observe the non-linear response of an unbalanced rotor. Patel et al [47] presented a dynamic model for a deep groove ball bearing considering single and multiple defects on the races.…”

Section: Introductionmentioning

confidence: 99%

A general method for impact dynamic analysis of a planar multi-body system with a rolling ball bearing joint

2014

Nonlinear Dyn

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Impact affects the dynamic characteristics of mechanical multi-body systems and damages those rotating parts, such as the joint rolling element bearings, which are high-precision, defect intolerant components. Based on multi-body dynamic theory, Hertzian contact theory, and a continuous contact model, this study proposed a modelling method that can describe the dynamic behaviour of planar mechanical multibody systems containing a rolling ball bearing joint under impact. In this method, the rigid bodies and bearing joint were connected according to their joint force constraints; the impact constraint between the multibody system and the target rigid body was constructed using a continuous contact force model. Based on this method, the reflection relationship between the external impacts of the mechanical multi-body system and the variation law governing the dynamic load on the rolling bearing joint were revealed. Subsequently, an impact multi-body system, which was composed of a slidingcrank mechanism containing a rolling ball bearing joint and the target rigid body with an elastic support, was analysed to explore the dynamic response of such a complex discontinuous dynamic system andthe relevant relationship governing the dynamic load on the rolling bearing joint. In addition, a multi-body dynamic simulation software was used to build a virtual prototype of the impact slider-crank system. Compared with the theoretical model, the prototype had an additional deep groove ball bearing. That is to say, the prototype model took account of the specific geometric structural characteristics and the complex contact relationship of the inner and outer races, rolling balls, and bearing cage. Finally, the effectiveness of the theoretical method proposed in this study was verified by comparative analysis of the results. The results suggested that the external impact of a mechanical multi-body system was prone to induce sudden changes in the equivalent reaction force on its bearing joint and the dynamic load carried on its rolling balls. This study provided an effective method for exploring the distribution characteristics of dynamic loads on rolling ball bearing joints under working impact load conditions. Moreover, it offered support for the parameter optimisation of geometric structure, performance evaluation, and dynamic design of the rolling ball bearings.

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“…An important contribution was made by Sassi et al (2007), who developed a numerical model based on the assumption that the dynamic bearing behaviour could be represented by a coupled three-degree-of-freedom system. Upadhyay et al (2010) examined the dynamic behaviour of a high speed unbalanced rotor supported on roller bearings with damping. The nonlinearity of the rotor bearing system was said to be a result of Hertzian contact, the unbalanced rotor effect and the radial internal clearance.…”

Section: Introductionmentioning

confidence: 99%

The influence of rolling bearing clearances on diagnostic signatures based on a numerical simulation and experimental evaluation

Rehab

Tian

et al. 2018

IJHM

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This paper presents investigations into the influences of bearing clearances on the diagnostic features of monitoring rolling-bearings. A nonlinear dynamic model of a deep groove ball bearing with five degrees of freedom is developed for numerical analysis under increased radial clearances which are due to not only the scenarios of bearing grades but also gradual wear with bearing service lifetime. The model incorporates local defects and clearance increments in order to gain the insight into the bearing dynamics under different fault cases along with clearance changes. Numerical results show that the vibrations at fault characteristic frequencies exhibit clear inconsistency with common understandings for different cases of increased clearances. This study highlights that it has to take into account the clearance effect, especially for the inner race fault, in order to avoid the under-estimate of fault sizes which may be indicated by the feature amplitude reduction.Keywords: roller element bearing; nonlinear dynamic model; radial clearance; Hertzian contact deformation; condition monitoring. The influence of rolling bearing clearances on diagnostic signatures 17Reference to this paper should be made as follows: Rehab, I., Tian, X., Gu, F. and Ball, A.D. (2018) MSc from the Taiyuan University of Technology. He has published over 200 technical publications in machinery diagnosis, signal processing, measurement systems and dynamic modelling. He has undertaken vibro-acoustic research projects of turbine machines, electric motors, internal combustion engines, reciprocating compressors, centrifugal pumps, hydraulic power systems, gearboxes and bearings. Recent research interests are mainly on power supply data and tribological behaviour analysis-based system diagnostics and monitoring.Andrew D. Ball is a Professor of Diagnostics Engineering from the University of Huddersfield, PhD from the University Manchester and BS from the University of Leeds. He is one of UK's foremost experts in the fields of machinery diagnostics, dynamic modelling, intelligent computation and vibro-acoustics analysis, with over 30 years of maintenance engineering experience. He is the author of over 300 technical publications in machine diagnosis, non-destructive measurement and related fields, and he spends much of his time lecturing and consulting to industry in all parts of the world. He has been the organiser of several international conferences in condition monitoring and maintenance.

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Analysis of Nonlinear Phenomena in High Speed Ball Bearings due to Radial Clearance and Unbalanced Rotor Effects

Cited by 62 publications

References 24 publications

Effect of Localized Defect on the Vibration Behavior of Cylindrical Roller Bearing-Rotor System

Effect of Localized Defect on the Vibration Behavior of Cylindrical Roller Bearing-Rotor System

A general method for impact dynamic analysis of a planar multi-body system with a rolling ball bearing joint

The influence of rolling bearing clearances on diagnostic signatures based on a numerical simulation and experimental evaluation

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