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Design of logarithmic crowned roller for tapered roller bearings based on the elastohydrodynamic lubrication model

Hongyu Duan (Shanghai University, Shanghai, China)
Qingtao Yu (Avic Manufacturing Technology Research Institute, Beijing, China)
Zhijian Wang (Changzhou University, Changzhou, China)

Industrial Lubrication and Tribology

ISSN: 0036-8792

Article publication date: 10 June 2021

Issue publication date: 3 August 2021




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.


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.


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.


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.



This work is financially supported by the Shanghai Bearing Technology Research Institute and Scientific Research Foundation of Changzhou University.


Duan, H., Yu, Q. and Wang, Z. (2021), "Design of logarithmic crowned roller for tapered roller bearings based on the elastohydrodynamic lubrication model", Industrial Lubrication and Tribology, Vol. 73 No. 5, pp. 742-749.



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