Abstract An analytical model is developed to simulate false brinelling in a bearing based on the theory of energy dissipation. This model is capable of predicting false brinelling damage when the bearings are under vibrating conditions. The bearing used in this simulation is a cylindrical roller bearing which is made of 52100 high carbon bearing quality steel (ASTM A295 ). The model provides a local prediction of false brinelling for the position of each roller of a cylindrical roller bearing. The model is validated using the modified 3D FE model and test-rig developed by the authors in previous work. The analytical model is shown to be far more time-efficient (by more than 10000 times) compared with the false brinelling 3D FE model. The model is used to compare the false brinelling damage in the inner and outer raceways, in both the lateral and axial directions of the bearing. The results showed that the wear marks on the outer raceway were approximately 5% shallower than the ones on the inner raceway; the volume of wear on the outer raceway was about 9% greater than the wear on the inner raceway. The model is also used to investigate the influence of the amplitude of the normal load and vibration on the wear damage caused by false brinelling. It is shown that the depth of wear increases when the normal load is decreased, and the vibration amplitude is increased. This change is particularly significant when the normal load (maximum contact pressure) on the bearing is less than 1000 N (800 MPa).

中文翻译：

---

预测轴承假压痕的分析模型

摘要 基于能量耗散理论，建立了轴承假压痕模拟的解析模型。当轴承处于振动条件下时，该模型能够预测假压痕损伤。本模拟中使用的轴承是圆柱滚子轴承，由 52100 高碳轴承优质钢 (ASTM A295) 制成。该模型为圆柱滚子轴承的每个滚子的位置提供了假压痕的局部预测。该模型使用作者在之前工作中开发的修改后的 3D FE 模型和测试台进行验证。与假压痕 3D FE 模型相比，分析模型的时间效率要高得多（超过 10000 倍）。该模型用于比较内外滚道的假压痕损伤，在轴承的横向和轴向上。结果表明，外滚道上的磨损痕迹比内滚道上的磨损痕迹大约浅5%；外滚道的磨损量比内滚道的磨损量大约 9%。该模型还用于研究法向载荷和振动幅值对假压痕磨损损伤的影响。结果表明，当法向载荷减小时，磨损深度增加，振动幅度增大。当轴承上的正常载荷（最大接触压力）小于 1000 N (800 MPa) 时，这种变化尤其显着。外滚道的磨损量比内滚道的磨损量大约 9%。该模型还用于研究法向载荷和振动幅值对假压痕磨损损伤的影响。结果表明，当法向载荷减小时，磨损深度增加，振动幅度增大。当轴承上的正常载荷（最大接触压力）小于 1000 N (800 MPa) 时，这种变化尤其显着。外滚道的磨损量比内滚道的磨损量大约 9%。该模型还用于研究法向载荷和振动幅值对假压痕磨损损伤的影响。结果表明，当法向载荷减小时，磨损深度增加，振动幅度增大。当轴承上的正常载荷（最大接触压力）小于 1000 N (800 MPa) 时，这种变化尤其显着。