## 1 Introduction  
The structure and performance of the rolling bearing, as a key part of aviation transmission, have a direct impact on the dynamics, life, and reliability of the transmission system. In the course of actual service, the failure of aviation bearing due to skidding damage has an effect on the reliability service of the main engine. Under ideal conditions, a rolling bearing should act as a planetary system with pure rolling at all surfaces. It is possible to have slip without resulting in surface damage. However, if damage does occur to the surfaces when slip is present, then this damage is more properly defined as skid damage [1]. It is necessary to point out that skidding does not necessarily cause skidding damage, but skidding damage must accompany the occurrence of the skidding phenomenon. Bearing mechanics research has experienced four development processes: statics, quasi-statics, quasi-dynamics, and dynamics [2]. [PERSON] [3] proposed the quasi-static analysis method and established the ring control theory of high-speed ball bearing, which could accurately obtain the load distribution, fatigue life, and stiffness of the bearing. However, the function of the lubricant is not considered, so the internal sliding of the bearing cannot be accurately predicted. [PERSON] [4] proposed the calculation method of quasi-dynamics on the basis of quasi-statics. The equilibrium nonlinear equations of the roller, cage, and inner ring were established, which can be used to analyze the revolution, rotation speed, and bearing deformation of the roller. Then, [PERSON] [5] and [PERSON] et al. [6] established a more comprehensive model for the quasi-dynamic analysis of roller bearing, taking into account the friction between the cage and the guide surface of the ring, and between the roller and the pocket of the cage, further refining [PERSON]'s method. With the need to analyze the dynamic performance of the rolling bearing, [PERSON] [7] put forward the dynamic analysis model of the rolling bearing, taking into account the five degrees of freedom of the rolling body, the five degrees of freedom of the cage, the use of multiple constraint equations such as the constraint of the roller's raceway radius, and the one-dimensional integration of the contact ellipse to obtain the drag force between the roller and the inner ring. [PERSON] [8; 9] established a model for the dynamic analysis of roller bearing, which took into account the complex motion state and force state of the roller, and analyzed the velocity change of bearing parts and the influence of the corresponding inertial force. [PERSON] et al. [10] developed a dynamic model of angular contact ball bearing and calculated the contact force and contact angles; the skidding phenomenon was investigated under the conditions of constant axial load and the combination of axial and radial load, and the relationship of contact force between the outer raceway and inner ring raceway was obtained. [PERSON] et al. [11] investigated the effect of surface roughness on roller bearings operated at low speeds and under high loads, and obtained the influence of surface roughness on the film thickness and the rate of heat generation. [PERSON] et al. [12] established a nonlinear dynamic model of a cylindrical roller bearing and analyzed the variation rules of the time-varying slip rate with a time-varying load. Measures such as increasing the radial load and bending moment can prevent the bearing from skidding. [PERSON] et al. [13] presented an analytical model to investigate skidding during rolling element bearing acceleration, and their team not only obtained the slip velocities between the roller and inner/outer race during acceleration, but also proposed the change rules of the slip ratio and speed of the roller and cage. [PERSON] et al. [14] investigated the occurrence of cage whirl under solid lubrication conditions by using a selected dynamic model, and studied the cage whirl characteristics under stable and unstable conditions.