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

Author(s):  
Li Jishun ◽  
Yu Yongjian ◽  
Xue Yujun ◽  
Zhou Yuankun ◽  
Guan Zhiqiang

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.

2013 ◽  
Vol 312 ◽  
pp. 25-28
Author(s):  
Ji Mei Wu ◽  
Yan Chen ◽  
Bo Gao ◽  
Tuan Yong Yi

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.


Author(s):  
Yongjian Yu ◽  
Guoding Chen ◽  
Jishun Li ◽  
Yujun Xue

As the rotation of roller bearings is carried out under geometrical constraint of the inner ring, outer ring and multiple rollers, the motion error of the bearing should also be resulted from geometric errors of bearing parts. Therefore, it is crucial to establish the relationship between geometric errors of bearing components and motion error of assembled bearing, which contributes to improve rotational accuracy of assembled bearing in the design and machining of the bearing. For this purpose, considering roundness error and dimension error of the inner raceway, the outer raceway and rollers, a prediction method for rotational accuracy of cylindrical roller bearings is proposed, and the correctness of the proposed prediction method is verified by experimental results. The influences of roller's geometric error distribution, roller's roundness error and the number of rollers on the runout value of inner ring are investigated. The results show that, the roller arrangement with different geometric errors has a significant impact on rotational accuracy of cylindrical roller bearings. The rotational accuracy could be improved remarkably when multiple rollers with different dimension error are distributed alternately according to the size error. Even-order roundness error of rollers has a significant effect on the rotational accuracy, and the decrease level depends on the orders of roundness errors of bearing parts and the number of rollers. But odd-order roundness error of rollers has almost no effect on the rotational accuracy. The rotational accuracy of assembled bearing would be significantly improved or decreased when even order harmonic of rollers and the number of rollers satisfy specific relationships. The greater the order of roundness error of the rollers, the more severe the influence of the roller number on rotational accuracy of assembled bearing. The rotational accuracy can not be always improved with the increase of the number of rollers.


1979 ◽  
Vol 101 (2) ◽  
pp. 164-169
Author(s):  
F. R. Morrison ◽  
J. Pirvics ◽  
W. J. Crecelius

A special 60 mm bore cylindrical roller bearing was designed to support the radial and thrust loads developed by a spiral bevel input in a Blackhawk size helicopter transmission. Two prototype bearings were fabricated and tested in a laboratory environment at various loads and speeds simulating that of the application, culminating in a combined load of 7.12 kN radially and 6.79 kN axially at 21,500 rpm. Lubrication was provided by circulating Mil-L-23699 synthetic lubricant into the bearing from jets located on each side and through inner ring supply holes directing the flow to the flange surfaces. Thirty-two hours of operation were accumulated. Detailed examination of the bearing surfaces conducted visually and using the scanning electron microscope established that no abnormal deterioration of the load-supporting contact surfaces had been experienced. It was concluded that the bearing performed satisfactorily and warrants further consideration for application in helicopter transmissions. In addition, an experimental test series was conducted to evaluate bearing performance under predominant thrust loading. This was completed at 1.3 × 106 Dn maintaining the applied axial load at 6.79 kN while reducing the radial load until a thrust to radial load ratio of 9.5 was achieved without difficulty. The condition of the load-supporting contact surfaces after this test was again quite good although the contact patterns were altered. It was concluded that the bearing design also has the potential to operate in this more severe loading environment.


2018 ◽  
Vol 70 (9) ◽  
pp. 1580-1589 ◽  
Author(s):  
Yongcun Cui ◽  
Sier Deng ◽  
Yanguang Ni ◽  
Guoding Chen

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.


Author(s):  
Sachin P Patel ◽  
S H Upadhyay

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.


2021 ◽  
Author(s):  
Yongjian Yu ◽  
Jishun Li ◽  
Yujun Xue

Abstract Understanding the influence of bearing component manufacturing errors and roller number on the rotational accuracy of rolling bearings is crucial in the design of high precision bearings. The rotational accuracy of an assembled bearing is dependent upon roller number and manufacturing error of the bearing components. We propose a model for calculating the rotational accuracy of a cylindrical roller bearing; we experimentally verified the effectiveness of the model in predicting the radial run-out of the inner ring proposed in the previous paper in this series. We sought to define the key contributing factors to the rotational accuracy by studying both the influence of the coupling effect of the roller number and the influence of the manufacturing errors in the inner raceway, outer raceway, and rollers on the motion error. The model and results will help engineers choose reasonable manufacturing tolerances for bearing components to achieve the required rotational accuracy.


Author(s):  
Yu Yongjian ◽  
Li Jishun ◽  
Chen Guoding ◽  
Xue Yujun ◽  
Si Zhuoyi ◽  
...  

Since the rotary motion of a rolling bearing is implemented by bearing components under geometric constraints, the motion accuracy of an assembled bearing should also be the result of interaction among geometric errors of bearing components. Therefore, it is significant to understand the relationship between the geometric errors of bearing components and motion accuracy of an assembled bearing for the design of high accuracy bearing. Based on quasi-static analytical method, a mathematical model for motion error of cylindrical roller bearings is established considering the roundness error of outer raceway. The motion error of a rolling bearing is affected by the amplitude and harmonic order of the roundness error of outer raceway, number of rollers and the operating conditions such as radial load, rotary speed of outer ring. The effects of above parameters are analyzed. The results show that the motion accuracy of a cylindrical roller bearing degrades with the increase of amplitude of the roundness error of outer raceway and the rotary speed of outer ring. The variation of the radial displacement of outer ring varies periodically with the increase of the harmonic order of the roundness error of outer raceway, and its period is equal to the roller number. With the increase of the roller number, the variation of radial displacement of the outer ring fluctuates. The larger the radial load is, the smaller the variation of radial displacement of outer ring is. The results would be helpful to reduce the production costs by controlling the distribution of machining tolerance of bearing components.


Author(s):  
Van-Canh Tong ◽  
Sun-Woong Kwon ◽  
Seong-Wook Hong

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.


Author(s):  
Natália Akemi Hoshikawa Tsuha ◽  
Fabio Nonato ◽  
Katia Lucchesi Cavalca Dedini

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