Dynamic analysis of a tapered roller bearing

2018 ◽  
Vol 70 (1) ◽  
pp. 191-200 ◽  
Author(s):  
Sier Deng ◽  
Jinfang Gu ◽  
Yongcun Cui ◽  
Wenhu Zhang

Purpose This study aims to analyze the roller dynamic characteristics and cage whirling of tapered roller bearing considering roller tilt and skew which provide a theoretical basis for the design and application of tapered roller bearing. Design/methodology/approach Based on rolling bearing dynamic analysis, the dynamic differential equations of tapered roller bearing are established. Fine integral method and predict correct Adams–Bashforth–Moulton multi-step method are used to solve the dynamic differential equations of tapered roller bearings. Findings Friction at the flange contact between roller and large flange is the chief factor of roller skew. In comparison to cone speed, axial loads have more visible effect on roller skew, and proper speed or axial load is beneficial to sustain cage motion and decrease cage instability. Under the combined effort of axial load and radial load, the distribution of roller skew is correlated to the roller-flange contact load. In addition, roller skew angle in loaded zone is larger than that in unloaded zone; hence, it is helpful for cage stability if an extent radial load is applied. The pocket clearance of cage has very small influence on roller skew; therefore, a reasonable pocket clearance is suggested to assure minimum instability of cage. Friction coefficient of flange contact has a large effect on roller skew, and cage whirl is found to demonstrate a circular orbit with increasing friction coefficient. Originality/value The dynamic differential equations of tapered roller bearing considering roller large end/inner ring back face rib contact under various lubrication states were established. The impact of flange friction working conditions and cage pocket clearance on cage instability and roller skew were focused on. It is the first time that the ratio of the standard deviation of the cage-center translational speed to its mean value is used to access the instability of cage in tapered roller bearing.

2011 ◽  
Vol 63-64 ◽  
pp. 201-204 ◽  
Author(s):  
Zhi Wei Wang ◽  
Ling Qin Meng ◽  
Wen Si Hao ◽  
E Zhang

Tapered Roller Bearing can take huge radial load or two way axial load. It is widely used in over loading, steel rolling, metallurgy, etc. In this paper, according to the structural properties of Tapered Roller Bearing, we established an mathematical model to optimize the design of Tapered Roller Bearing. Based on the comparison of the result from our design and the traditional design of the Four Column Tapered Roller Bearing 3811/750/HC, the dynamic load increases 22% and the working life expectancy increases 85% by using our design. This fully shows the economical meaning of the optimization design, and it provides a practical method for the optimization design in future.


2019 ◽  
Vol 71 (1) ◽  
pp. 61-73 ◽  
Author(s):  
Ayush Jain ◽  
Abhishek Singh ◽  
Arendra Pal Singh

Purpose This paper aims to study the sliding wear and coefficient of friction (COF) using “ball on disc” tribometer. Discs of bearing steel were subjected to different tribological parameters such as heat treatment (through hardening and case hardening), sliding speed, sliding distance and micro-geometry of the functional ball and disc point contact. Results obtained from tribometer were correlated with the preload loss in tapered roller bearing. Preload loss is subjected to wear rate pattern with respect to the internal geometry and micro-geometry of functional surfaces of the tapered roller bearing, caused by internal resistance between roller large ends sliding against cone supporting face. This confirms the optimum geometry and physical/mechanical property of the tapered roller bearing, which makes the use of these bearings under the demanding application in the automotive industry such as differential gears and installation of pinions of differential gears in power transmissions or wheels. Design/methodology/approach The paper opted for an exploratory study using the design of experiments with full factorial method. The approach was to do ball on disc sliding wear test and correlate that sliding wear with preload loss in tapered roller bearing. Findings The paper provides the limit of preload loss in tapered roller bearing. Research limitations/implications Because of the chosen research approach, the research lacks the effect of environmental conditions such as temperature and relative humidity and lube film thickness effect on wear test. It also lacks the validation part with actual preload loss on tapered roller bearings. Above work is included in future scope of work. Practical implications This paper includes the recommendation for surface parameters which can increase the bearing life by reducing the preload loss in tapered roller bearing. Social implications This paper includes the recommendation for surface parameters for bearing manufacturing industries. Originality/value This paper provides the relation between sliding wear and preload loss in tapered roller bearing.


Author(s):  
Tomoya Sakaguchi ◽  
Kazuyoshi Harada

We have developed a three-dimensional dynamic simulation tool for tapered roller bearings using commercially available analysis software, ADAMS (MSC. Software). Cage motion in six degrees was analyzed with the simulation tool and was measured by experiments. The results showed the validity of the simulation tool. Regarding the cage behavior, as the traction forces between rollers and races grew, the amplitude of the cage whirl motion increased up to the radial guide clearance between the roller and its cage pocket.


2012 ◽  
Vol 217-219 ◽  
pp. 2328-2331 ◽  
Author(s):  
Abiodun Falodi ◽  
Yong K. Chen ◽  
Martin Caspall ◽  
Brian Earthrowl ◽  
David Dell

Roller skew in roller bearings can cause heat generation and reduce bearing life. Therefore, design to minimise its occurrence is essential in bearing development. This study investigated the roller skew of a double row tapered roller bearing under various running conditions. A new system of measurement using two differential variable reluctance transducers (DVRT) was developed. It is evident that the roller skew of the double row tapered roller bearing can be measured. The shaft rotational speed has a significant effect on roller skew but the radial load has little effect.


2006 ◽  
Vol 128 (3) ◽  
pp. 604-611 ◽  
Author(s):  
Tomoya Sakaguchi ◽  
Kazuyoshi Harada

A three-dimensional dynamic simulation analysis of a tapered roller bearing was performed using commercially available software. Without cage pocket shape simplification, the dynamic motion of the cage and rollers was calculated in six degrees of freedom. The motion of the cage and rollers was measured experimentally to verify the analysis. Under all axially loaded conditions, cage whirl was analytically predicted and experimentally confirmed. Whirl amplitude increased as the inner-ring rotational speed and axial-load magnitude increased. The maximum whirl amplitude reached the radial clearance between a roller and its pocket. Under combined load conditions, the cage also whirled. However, the whirl amplitude was smaller than only under axial load. Load distribution due to the addition of radial load to axial load equalized roller distribution. Equally distributed rollers limited the cage’s movable distance to circumferential clearance between a roller and its pocket.


Author(s):  
Shimin Luo ◽  
Junyi Wang

Based on Hertz elastic contact theory, elastohydrodynamic lubrication theory, the equivalent radial stiffness model of roller raceway contact pair of logarithmic modified tapered roller bearing is derived under the consideration of oil film stiffness. The calculation results show that the equivalent radial contact stiffness increases with the increase of contact load, increases linearly with the increase of effective contact length of roller, and changes little with the increase of modification f1. When the radial load is small, the oil film has a great influence on the equivalent radial stiffness, which decreases gradually with the increase of the radial load.


2021 ◽  
Vol ahead-of-print (ahead-of-print) ◽  
Author(s):  
Hongyu Duan ◽  
Qingtao Yu ◽  
Zhijian Wang

Purpose The purpose of this paper is to study the film-forming capacity of logarithmic crowned roller for tapered roller bearing (TRB) and to design a tapered roller profile based on an elastohydrodynamic lubrication model. Design/methodology/approach A coupled model, incorporating a quasi-static model of TRBs and an elastohydrodynamic lubrication model was developed to investigate the load distribution of TRB and to evaluate the lubrication state of tapered roller/raceway contact. Findings The model is verified with published literature results. Parametric analysis is conducted to investigate the effect of crown drop on azimuthal load distribution of the roller, film thickness and pressure distribution in the contact area. The result shows that crown drop has little influence on the azimuthal load distribution; also, the film thickness and the pressure distribution are asymmetric. When the tapered roller is designed and manufactured, the crown drop of the small end should be larger than that in the large end. Originality/value Precise roller profile design is conducive to improve the fatigue life of TRBs. Currently, most crown design methods neglect the influence of lubrication, which can lead to a non-suitable roller profile. Therefore, the present work is undertaken to optimize roller profiles based on lubrication theory.


2008 ◽  
Vol 131 (1) ◽  
Author(s):  
Tomoya Sakaguchi ◽  
Kazuyoshi Harada

In order to investigate cage stress in tapered roller bearings, a dynamic analysis tool considering both the six degrees of freedom of motion of the rollers and cage and the elastic deformation of the cage was developed. Cage elastic deformation is equipped using a component-mode-synthesis (CMS) method. Contact forces on the elastically deforming surfaces of the cage pocket are calculated at all node points of finite-elements on it. The location and pattern of the boundary points required for the component-mode-synthesis method were examined by comparing cage stresses in a static condition of pocket forces and constraints calculated by using the finite-element and the CMS methods. These results indicated that one boundary point lying at the center on each bar is appropriate for the effective dynamic analysis model focusing on the cage stress, especially at the pocket corners of the cages, which are actually broken. A behavior measurement of a polyamide cage in a tapered roller bearing was conducted for validating the analysis model. It was confirmed in both the experiment and analysis that the cage whirled under a large axial load condition and the cage center oscillated in a small amplitude under a small axial load condition. In the analysis, the authors discussed the four models including elastic bodies having a normal eigenmode of 0, 8 or 22, and rigid-body. There were small differences among the cage center loci of the four models. These two cages having normal eigenmodes of 0 and rigid-body whirled with imperceptible fluctuations. At least approximately 8 normal eigenmodes of cages should be introduced to conduct a more accurate dynamic analysis although the effect of the number of normal eigenmodes on the stresses at the pocket corners was insignificant. From the above, it was concluded to be appropriate to introduce one boundary point lying at the center on each pocket bar of cages and approximately 8 normal eigenmodes to effectively introduce the cage elastic deformations into a dynamic analysis model.


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