Dynamic modeling of cylindrical roller bearings by considering non-through defects and additional forces

Cylindrical roller bearings are essential components in rotating mechanical systems, and ensuring their reliable operation is importance. Accurate modeling of cylindrical roller bearing defects is therefore crucial for enabling effective predictive maintenance strategies in various industries. However, previous studies have overlooked the presence of additional forces that occur when rollers enter and exit non-through defects, leading to inaccuracies in bearing vibration calculations. This work proposes a novel model that captures the bearing vibrations during this process, by considering the defect edge feature of the cylindrical roller bearings. The contact force between the roller and the defective ring is calculated by using the non-ideal Hertzian contact theory, while the additional force is characterized by a time-varying function based on the geometric relationship and Hertzian contact theory. To validate the proposed model, comparison work is carried out between the contact forces calculated using this model and those obtained from existing models, demonstrating the significance of the additional force during the process of rollers entering and exiting non-through defects. Furthermore, the effects of the outer ring defect width, length, and edge angle on cylindrical roller bearing vibrations are investigated and discussed. Compared with the previous studies, this work considers both the additional forces caused by the defect and defect edge feature, and combines the non-ideal Hertzian contact theory to obtain a more reasonable dynamic of the defective cylindrical roller bearings.