Various studies have been conducted on angular contact ball bearings (ACBBs) at various GBCDs. However, most of the researches did not address the cage whirl motion, which is a critical part of the dynamic stability of the bearing system. Therefore, this study attempts to integrate the existing theoretical bases and improve the model of angular contact ball bearings. It also proposes a new iterative algorithm for high-speed ball bearings. In this way, a better prediction method is obtained and the accuracy of dynamic behaviors is improved.

The dynamic behavior of a bearing system is directly related to the structural sizes of its components. These parameters have a significant effect on the interaction mechanisms between the balls, the cage and the guiding ring. In addition, the interaction between the cage and the guiding ring is crucial to the dynamic stability of the inner ring. These effects are discussed in detail. In addition, an improved model is proposed for ACBBs to overcome the shortcomings of previous models.

This study uses an integrated dynamic model to describe the interaction between the balls, the cage and the directing ring. It also provides a mathematical model for calculating the dynamic behaviors of the bearing. This model is based on new defect extension methods and morphology modeling methods. It is more effective than other approaches. Moreover, the dynamic equilibrium of the bearing rings is achieved. The theoretical basis is presented and the relationship between the angular speeds of the balls and the sliding of the bearing is established. The effects of combined loads are also discussed in detail.

Compared with previous studies, the improved model achieves more accurate dynamic behaviors of the bearing. In addition, a new iterative algorithm is proposed to deal with the gyroscopic torque. It also considers the effects of centrifugal force. It consists of the following steps: the combined displacements of the bearings are calculated as initial values. They are derived by using the deformation superposition principle. The angular speed of the balls is then referred to the number of pure rolling points.

In addition, the effects of rotational speed, radial load and the raceway groove curvature radius are also studied in detail. The results reveal that the angular contact ball bearings can handle radial loads and axial loads. The final performance of M50 bearing steel is reduced by cold rolling. This decrease is attributed to accelerated kinetic diffusion of carbon atoms towards dislocation.

In addition, studies on the influence of ring misalignment on the rolling bearings were conducted. This method used the method of differential sliding. The results showed that a high-speed angular contact ball bearing could provide adequate running torque and heat dissipation under the combination of the combined effects of the differential sliding and spin sliding.

Considering the shortcomings of previous models, an improved model is developed to obtain more realistic and precise dynamic behaviors. This model integrates the dynamic interactions between the balls, the cage and the coordinating ring. It also uses a new defect extension method to establish the dynamic model.