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Study on logarithmic crowning of cylindrical roller profile considering angular misalignment

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Abstract

The angular misalignment of cylindrical rollers causes the stress edge effect at roller ends to be aggravated, which would affect bearing capacity and fatigue life of bearings. Therefore, based on the roller angular misalignment, the geometric interference model of the cylindrical contact pair was established in this paper. Thereafter, two types of logarithmic crowning models were theoretically deduced, in which design redundancy was considered through special treatment of pre-pressure. Taking the aero-engine main shaft bearing as an example, contact characteristics of the cylindrical roller with these two logarithmic profiles were studied by the DC-FFT method and the conjugate gradient method (CGM). The results show that two profiles can effectively eliminate the stress edge effect, improve contact pressure distribution and subsurface stress field of the roller in misalignment state, and at the same time ensure fine contact characteristics in alignment state. The research can provide a theoretical basis and reference for finite line contact pairs under angular misalignment.

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Abbreviations

a 1,2 :

Polar radius

a m :

Polar radius

b :

Contact width

b a1,a2 :

Contact width

D :

Influence coefficient matrix of elastic deformation

E 1,2 :

Young’s modulus

Ē :

Equivalent elastic modulus

G 1,2 :

Surface geometric clearance

J 2 :

Second invariants of stress deviator

l :

Roller length

p :

Pressure distribution

q, P :

Normal load

r, ρ :

Polar radius

R 1,2 :

Roller radius

R̄ a1,a2 :

Equivalent radius

V 1,2 :

Rigid body displacement

α, φ, ψ :

Polar angle

θ t,th,a :

Tilting angle

v 1,2 :

Poisson’s ratio

σ ij :

Stress components

σ :

Von-Mises equivalent stress

ψ :

Crown drop

Ω :

Contact area

Ω p > 0 :

Contact action area

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Acknowledgments

The work was supported by the National Natural Science Foundation of China (No. 51675427).

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Authors and Affiliations

  1. School of Mechatronical Engineering, Northwestern Polytechnical University, Xi’an, 710072, China

    Zhenghai Wu, Yingqiang Xu, Sier Deng & Kaian Liu

  2. School of Mechatronical Engineering, Henan University of Science and Technology, Luoyang, 471023, China

    Sier Deng

Authors
  1. Zhenghai Wu
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  2. Yingqiang Xu
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  3. Sier Deng
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  4. Kaian Liu
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Corresponding author

Correspondence to Yingqiang Xu.

Additional information

Recommended by Editor Hyung Wook Park

Zhenghai Wu is currently a Ph.D. candidate at School of Mechatronical Engineering, Northwestern Polytechnical University, China. His research interests include simulation and analysis of tribology and dynamics of rolling bearings.

Yingqiang Xu is currently a Professor and Ph.D. supervisor at School of Mechatronical Engineering, Northwestern Polytechnical University, China. His research interests include failure analysis and reliability design, thermal barrier antioxidant stability and high temperature performance.

Sier Deng is a Professor and Ph.D. supervisor at School of Mechatronics Engineering, Henan University of Science and Technology and School of Mechatronics Engineering, Northwestern Polytechnical University. His research interests include rolling bearing design and theory, optimization and computer simulation, etc.

Kaian Liu is currently a Ph.D. candidate at School of Mechatronical Engineering, Northwestern Polytechnical University, China. His research interests include simulation and analysis of tribology and dynamics of micro-contact rough surface.

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Wu, Z., Xu, Y., Deng, S. et al. Study on logarithmic crowning of cylindrical roller profile considering angular misalignment. J Mech Sci Technol 34, 2111–2120 (2020). https://doi.org/10.1007/s12206-020-0130-7

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  • DOI: https://doi.org/10.1007/s12206-020-0130-7

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