Nonlinear analysis of cylindrical roller bearing under the influence of defect on individual and coupled inner–outer race

2018 ◽  
Vol 233 (2) ◽  
pp. 404-428 ◽  
Author(s):  
Sachin P Patel ◽  
S H Upadhyay
Keyword(s):  
Mathematical Model ◽  
Axial Load ◽  
Roller Bearing ◽  
Equation Of Motion ◽  
Radial Clearance ◽  
Normal Loading ◽  
Peak Displacement ◽  
Outer Race ◽  
Cylindrical Roller Bearing ◽  
Cylindrical Roller

In this paper, new mathematical model has been developed for the cylindrical roller bearing by considering coupled influence of radial deflection due to normal loading, roller titling, roller skewing, radial clearance, and also individual as well as coupled inner and outer race defects. Novel defect function is also developed for inner and outer race defects based on literature, to make a set of nonlinear equations for mathematical model, which are solved by using MATLAB. Newmark-β method is applied to solve the equation of motion. The results are plotted in time domain, velocity-displacement, and envelope analysis. The obtained results show the sensitiveness of the system with the variations in speed for the inner, outer, and combined inner–outer race defects. The peak displacement, velocity, and acceleration have been observed for various defects which are helpful to obtain the system’s dynamic behavior under speed varying condition for combined radial and axial load. A major finding of this paper is regarding the understanding of the system’s behavior like periodic to chaotic under varying speed conditions with the attention of individual and coupled inner and outer race defects with the inclusion of normal loading, tilting, skewing, and radial clearance effect and validation of simulated results with the calculated one.

Analysis of Fatigue of Cylindrical Roller Bearing in Printing Press

2013 ◽  
Vol 312 ◽  
pp. 25-28
Author(s):  
Ji Mei Wu ◽  
Yan Chen ◽  
Bo Gao ◽  
Tuan Yong Yi
Keyword(s):  
Fatigue Life ◽  
Roller Bearing ◽  
Flow Chart ◽  
Printing Press ◽  
Radial Clearance ◽  
Radial Load ◽  
Double Row ◽  
Rotating Speed ◽  
Cylindrical Roller Bearing ◽  
Cylindrical Roller

By means of considering improved Lundberg-Palmgren (L-P) fatigue life theory and rollers and other comprehensive factors, a model of fatigue life is setup for eccentric double row cylindrical roller bearing under rotation. On this basis, the calculation flow chart is given and the fatigue life is calculated. Then come to the conclusions that the fatigue life of bearing is influenced by radial load, rotating speed, radial clearance.

Effect of Geometric Error of Inner Raceway on Motion of Cylindrical Roller Bearings Under Radial Load

2018 ◽  
Author(s):  
Li Jishun ◽  
Yu Yongjian ◽  
Xue Yujun ◽  
Zhou Yuankun ◽  
Guan Zhiqiang
Keyword(s):  
Roller Bearing ◽  
Geometric Error ◽  
Radial Clearance ◽  
Radial Load ◽  
Compatibility Equation ◽  
Motion Error ◽  
Roundness Error ◽  
Cylindrical Roller Bearing ◽  
Geometric Compatibility ◽  
Cylindrical Roller

The motion error of bearing depends highly on the geometric profile of bearing components. Therefore, it is crucial to establish a correlation between the geometric error of bearing components and the motion error of an assembled bearing, which is required for designing and manufacturing bearings with high accuracy of motion. In this paper, authors derived a geometric compatibility equation for cylindrical roller bearing considering the geometric error of bearing inner raceway. Based on the load balance and the geometric compatibility derived, a mathematical model of motion accuracy is established, and the model is also validated. The effect of geometric error such as the amplitude of roundness error and dimension error of bearing inner raceway, and radial clearance on the bearing motion error is investigated. Results show that the motion error of the bearing increases with the amplitude of the roundness error of inner raceway, and reduces with the increase of radial load. The results indicated that the motion accuracy can be improved by controlling the distribution of machining tolerance of bearing components.

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

2019 ◽  
Vol 233 (3) ◽  
pp. 731-746 ◽  
Author(s):  
Sachin P Patel ◽  
S H Upadhyay
Keyword(s):  
Nonlinear Equations ◽  
Normal Load ◽  
Roller Bearing ◽  
Surface Irregularity ◽  
Outer Race ◽  
Cylindrical Roller Bearing ◽  
The Time Domain ◽  
Internal Gap ◽  
Thrust Load ◽  
Cylindrical Roller

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.

Aim Investigation of the Axial Load Carrying Capacity of Cylindrical Roller Bearings

1973 ◽  
Vol 187 (1) ◽  
pp. 763-770 ◽  
Author(s):  
C. M. Taylor
Keyword(s):  
Axial Load ◽  
Roller Bearing ◽  
Axial Loading ◽  
Significant Feature ◽  
Axial Loads ◽  
Roller Bearings ◽  
Load Carrying ◽  
Rolling Elements ◽  
Cylindrical Roller Bearing ◽  
Cylindrical Roller

Normally cylindrical roller bearings are employed to transmit purely radial loads. However, depending upon the configuration of lips or flanges on the rings, it is sometimes possible to carry an axial load. In certain applications, an axial load capability is essential. A significant feature in determining the performance of a cylindrical roller bearing under axial loading is the lubrication conditions existing between the lips and rolling elements. The paper describes a study of such conditions. The long-term aim of the work is to provide a basis for the design of cylindrical roller bearings to carry axial loads.

Effect of roller dynamic unbalance on cage stress of high-speed cylindrical roller bearing

2018 ◽  
Vol 70 (9) ◽  
pp. 1580-1589 ◽  
Author(s):  
Yongcun Cui ◽  
Sier Deng ◽  
Yanguang Ni ◽  
Guoding Chen
Keyword(s):  
High Speed ◽  
Roller Bearing ◽  
Radial Clearance ◽  
Analysis Model ◽  
Element Analysis ◽  
Content Type ◽  
Cylindrical Roller Bearing ◽  
The Impact ◽  
Cylindrical Roller ◽  
Dynamic Unbalance

Purpose The purpose of this study is to investigate the effect of roller dynamic unbalance on cage stress. Design/methodology/approach Considering the impact of roller dynamic unbalance, the dynamic analysis model of high-speed cylindrical roller bearing is established. And then the results of dynamic model are used as the boundary conditions for the finite element analysis model of roller and cage to obtain the cage stress. Findings Roller dynamic unbalance affects the contact status between roller and cage pocket and causes the overall increase in cage stress. The most significant impact on cage stress is roller dynamic unbalance in angular direction of roller axis, followed by radial and axial directions. Smaller radial clearance of bearing and a reasonable range of pocket clearance are beneficial to reduce the impact of roller dynamic unbalance on cage stress; the larger cage guide clearance is a disadvantage to decrease cage stress. The impact of roller dynamic unbalance on cage stress under high-speed condition is greater than that in low-speed conditions. Originality/value The research can provide some theoretical guidance for the design and manufacture of bearing in high-speed cylindrical roller bearing.

scholarly journals Chaotic Dynamics of Cage Behavior in a High-Speed Cylindrical Roller Bearing

2016 ◽  
Vol 2016 ◽  
pp. 1-12 ◽  
Author(s):  
Long Chen ◽  
Xintao Xia ◽  
Haotian Zheng ◽  
Ming Qiu
Keyword(s):  
Mathematical Model ◽  
Dynamic Behavior ◽  
Chaos Theory ◽  
High Speed ◽  
Chaotic Dynamics ◽  
Roller Bearing ◽  
Hydrodynamic Behavior ◽  
Solid Foundation ◽  
Cylindrical Roller Bearing ◽  
Cylindrical Roller

This paper presents a mathematical model to investigate the nonlinear dynamic behavior of cage in high-speed cylindrical bearing. Variations of cage behavior due to varying cage eccentricity and cage guidance gap are observed. Hydrodynamic behavior in cage contacts is taken into consideration for a more realistic calculation of acting forces owing to high working speed. Analysis of real-time cage dynamic behavior on radial plane is carried out using chaos theory based on the theoretical and mathematical model established in the paper. The analytical results of this paper provide a solid foundation for designing and manufacturing of high-speed cylindrical roller bearing.

Aim Investigation of the Axial Load Carrying Capacity of Cylindrical Roller Bearings

1973 ◽  
Vol 187 (1) ◽  
pp. 763-770
Author(s):  
C. M. Taylor
Keyword(s):  
Axial Load ◽  
Roller Bearing ◽  
Axial Loading ◽  
Significant Feature ◽  
Axial Loads ◽  
Roller Bearings ◽  
Load Carrying ◽  
Rolling Elements ◽  
Cylindrical Roller Bearing ◽  
Cylindrical Roller

Normally cylindrical roller bearings are employed to transmit purely radial loads. However, depending upon the configuration of lips or flanges on the rings, it is sometimes possible to carry an axial load. In certain applications, an axial load capability is essential. A significant feature in determining the performance of a cylindrical roller bearing under axial loading is the lubrication conditions existing between the lips and rolling elements. The paper describes a study of such conditions. The long-term aim of the work is to provide a basis for the design of cylindrical roller bearings to carry axial loads.

scholarly journals Calculated and Experimental Data for a 118-mm Bore Roller Bearing to 3 Million DN

1981 ◽  
Vol 103 (2) ◽  
pp. 274-281 ◽  
Author(s):  
H. H. Coe ◽  
F. T. Schuller
Keyword(s):  
Experimental Data ◽  
Computer Program ◽  
Roller Bearing ◽  
Operating Characteristics ◽  
Flow Rates ◽  
Outer Race ◽  
Lubricant Flow ◽  
Cylindrical Roller Bearing ◽  
Cylindrical Roller

Operating characteristics for a 118-mm bore cylindrical roller bearing were calculated using the computer program CYBEAN. The predicted results of inner and outer-race temperatures and heat transferred to the lubricant generally compared well with experimental data for shaft speeds to 3 million DN (25,500 rpm), radial loads to 8900 N (2000 lb), and total lubricant flow rates to 0.0102 m3/min (2.7 gal/min).

Fatigue life of cylindrical roller bearings

2016 ◽  
Vol 231 (5) ◽  
pp. 623-636 ◽  
Author(s):  
Van-Canh Tong ◽  
Sun-Woong Kwon ◽  
Seong-Wook Hong
Keyword(s):  
Fatigue Life ◽  
Roller Bearing ◽  
Radial Clearance ◽  
Angular Misalignment ◽  
Error Sources ◽  
Roller Bearings ◽  
Fatigue Life Analysis ◽  
Inertial Loading ◽  
Cylindrical Roller Bearing ◽  
Cylindrical Roller

This paper dealt with the fatigue life of cylindrical roller bearings with several significant error sources that may occur during installations. A four degree-of-freedom quasi-static model for cylindrical roller bearings was developed, which took into account potential error sources such as angular misalignment, axial offset, and radial clearance, together with inertial loading by rotational speed and induced moment loads. A 3D contact model was employed to provide contact pressure distributions in rolling elements. The fatigue life of a cylindrical roller bearing was analyzed as a function of angular misalignment under various loading conditions. Then, the fatigue life analysis was extended to the combined effects of radial clearance, axial offset, and the number of rollers, along with angular misalignment. The computational results showed the significance of each error source on fatigue life. They further showed that cylindrical roller bearing fatigue life maximized when the radial clearances were slightly negative, and that it increased almost linearly with the number of rollers.

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