In this paper, the flexibility of bearing parts and localized defects are considered, and a method for calculating the radial time-varying stiffness of flexible cylindrical roller bearings (CRBs) with localized defects is proposed. The proposed method uses the finite element (FE) method to calculate the global flexibility of bearing parts and adopts the analytical contact theory to calculate the localized contact flexibility of bearing parts. Furthermore, based on the displacement excitation assumption, localized defect models of the outer race, inner race, and roller are established. The proposed method is verified by comparing with the methods in the references and the finite element method. The effect of different angles of defect width on time-varying stiffness is discussed. The results show that as the angle of defect width increases, the width of the stiffness saltation also gradually increases. Besides, the calculation accuracy of the proposed method is higher than that of the classical analytical method, and the computational efficiency is greatly improved compared with the finite element method. This study can provide a theoretical basis for defect diagnosis of CRBs.

本文考虑了轴承零件的柔性和局部缺陷，提出了一种计算具有局部缺陷的柔性圆柱滚子轴承（CRBs）径向时变刚度的方法。该方法采用有限元(FE)方法计算轴承零件的整体柔度，采用解析接触理论计算轴承零件的局部接触柔度。此外，基于位移激励假设，建立了外圈、内圈和滚子的局部缺陷模型。通过与文献中的方法和有限元方法进行比较，验证了所提出的方法。讨论了不同角度的缺陷宽度对时变刚度的影响。结果表明，随着缺陷宽度角度的增加，刚度跃变的宽度也逐渐增加。此外，所提方法的计算精度高于经典解析法，计算效率较有限元法有较大提高。本研究可为CRBs的缺陷诊断提供理论依据。