Dynamic reliability analysis of angular contact ball bearing based on maximum entropy quadratic fourth moment method*

ABSTRACT

Bearing failure occurs when the dynamic contact stress exceeds the yield strength of the bearing material during operation. To minimise the risk of bearing failure, a new reliability theory method is proposed based on the stress-strength model of bearings, incorporating random input variables to analyse the reliability of angular contact ball bearings (ACBBs) and quantify their dynamic performance. The maximum entropy quadratic fourth moment method is used to calculate the probability distribution of maximum orthogonal shear stress-strength of bearing, and the maximum entropy principle is used to obtain the approximation of the minimum human error factors. Additionally, reliability-based sensitivity indices are derived to investigate the parametric significance of random input variables. Using B218 bearing as an example, the engineering application of this method in dynamic reliability and reliability-based sensitivity analysis is illustrated. Monte Carlo simulation is performed to verify the accuracy and effectiveness of the method to provide benchmark results. The results show that the Poisson’s ratio have a greater influence on the dynamic reliability of ACBBs than other parameters. Improving parameters such as ball diameter, raceway groove curvature radius and contact angle can also improve the reliability of bearings to some extent.

KEYWORDS:

• Dynamic reliability
• maximum entropy
• quadratic fourth moment
• bearing
• sensitivity

Disclosure statement

No potential conflict of interest was reported by the author(s).

Data availability statement

The data that support the findings of this study are available from the corresponding author, Prof. H Lv, upon reasonable request.

Additional information

Funding

This work was supported by the National Natural Science Foundation of China [Grant Nos. 51875494, 51405419].

Notes on contributors

Longwei Geng

Longwei Geng now is studying mechanical engineering doctor degree in Hangzhou Dianzi University. He is also a lecturer working in School of Automotive Engineering at Yancheng Institute of Technology, China. His research focuses on mechanical vibration and reliability analysis.

Hongming Lv

Hongming Lv received the PhD degree from Tongji University, China. He is currently working as a Professor in School of Automotive Engineering at Yancheng Institute of Technology, China. His research focuses on mechanical vibration and noise control technology, tribology.

Zhenxiu Zhao

Zhenxiu Zhao is a lecturer working in School of Mechanical Engineering at Yancheng Institute of Technology, China. Her research focuses on mechanical reliability analysis.