Efficient Strain Analysis of Radially Loaded Hollow Cylindrical Roller Using Symbolic Regression

The development of digital twins and smart bearings in bearing industry demands efficient computational methods for factors, such as strain analysis. Symbolic regression (SR) offers a promising solution by efficiently deriving analytical expressions from limited data, offering low computational cost, rapid speed, high accuracy, and strong interpretability. In this article, SR is applied to the strain calculation problem of radially loaded hollow cylindrical rollers (HCRs). The resulting expressions are evaluated and selected based on physical insights obtained from theoretical analysis and physical experiments. Compared to other methods, the selected expression retains interpretability and generalization capabilities while achieving superior computational accuracy.