Journal of Jishou University(Natural Sciences Edition)

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Elasto-Plastic Analysis for Static and Dynamic Performance of Rolling Element Bearings

BI Rengui, QIAN Ping, YAN Can, YANG Daiyun   

  1. (1. College of Physics and Electromechanical Engineering, Jishou University, Jishou 416000,Hunan China;2. Automotive Engineering Institute, Guangzhou Automobile Group Co., Ltd., Guangzhou 511434, China)
  • Online:2019-09-25 Published:2019-11-12


Aiming at the status quo of research in the elasto-plastic mechanical behavior of rolling bearings, taking deep groove ball bearings as an example, a semi-analytical model was established to study the elasto-plastic mechanical behavior of rolling bearings. By introducing a mixed strain hardening yield criterion which is related to spherical stress tensor, the model established an elasto-plastic incremental constitutive equation for mixed hardening materials. The model used Hertz contact theory to determine the relationship between the load exerted on the inner and outer rings. And from the symmetry between the inner and outer rings, the equilibrium equations, as well as the corresponding deterministic conditions for a quarter of the outer ring of the bearings were obtained in the orthogonal curvilinear coordinate system. And then the finite difference method, as well as Newmark-β approach, was applied comprehensively to find an iterative solution of related problems. The numerical results show that the elasto-plastic model can more accurately describe the mechanical properties of rolling bearings; the traditional elastic model might overestimate the stiffness of bearings; the load weight, bearing dimensions and plastic properties of materials are all important factors that should be considered in the design of bearings.

Key words: deep groove ball bearings, Hertz' contact theory, elasto-plastic, static and dynamic performance

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