## 1 Introduction  
Advanced rolling bearing technology is one of the basic strategic industries and core technologies in high-speed systems and the aerospace field. The use of thin walls, lightweight structures, and component integration represent major trends in the development of advanced rolling bearing technologies [1]. As a main technological trend in the field of high-speed bearings, the integrated squirrel-cage flexible support roller bearing is a thin-wall bearing with a squirrel-cage structure connected to the outer ring and a hollow shaft assembled in the inner ring. In this type of structure, the hollow shaft, bearing ring, and squirrel-cage flexible support structures are all thin-walled, and, as a result, easily produce elastic structural deformations under load; this induces a change in the internal load distribution of the bearing, and leads to a significant influence on the characteristics of the bearing dynamics, which should not be neglected. Based on the Hertz theoretical calculation model, [PERSON] [2] built a static model and calculated the load distribution of rolling bearing. Subsequently, many researchers studied the behaviors of rolling bearings [2; 3; 4; 5], however, most of their methods are built using the rigid structure hypothesis, considering the rings as constant geometry parts, and ignoring the elastic deformations of the structures under load. Thus, these rigid structure assumption models cannot fully meet the demands of the continued development of rolling bearings, because the structural deformation of thin-walled rings and flexible supports is much more pronounced. Thus, it is essential to carry out dynamic performance analyses of the integrated squirrel-cage flexible support bearing in the study of current high-end bearing usage. [PERSON] [6] established a flexible bearing model for planetary gear, while [PERSON] [7] built a flexible bearing model for harmonic gear. However, these two models are only for bearings in planetary gear transmission or harmonic gear transmission, which are quite different from the flexible support bearings in high-speed shaft systems. [PERSON] [8] analyzed the contact stress of the double-row tapered roller bearings using the finite element method; experimental analyses and an analytical model shows that the finite element method could be very accurate in bearing stress calculations. [PERSON] [9] used the curved Timoshenko beam (CTB) theory to calculate the structural deformation of a thin-walled bearing ring, and analyzed the load distribution of thin-walled roller bearing; however, the model, assumed that the rings are supported at one or two azimuth positions only, and did not consider the specific form of the bearing support. Researchers, such as [PERSON] [10], [PERSON] [11], [PERSON] [12], [PERSON] [13] and [PERSON] [14], used the finite element method to analyze the structural deformation of thin-walled rings, but such a method cannot take into account the contact mechanics and the lubrication status between the rollers and the raceway. Moreover, a method in which linear springs are used to replace rolling elements cannot provide an accurate internal loading solution, because the load-deflection factor is non-linear, and the centrifugal effort in high-speed bearing is very difficult to simulate by a spring element, and it would be very complicated when the bearing has clearances because the number of loading rollers is unknown [15]; thus, it was difficult to precisely analyze the dynamic performance of the bearing. In this paper, an integrated squirrel-cage flexible support roller bearing iterative quasi-dynamic finite element analysis (FEA) model is established. This model is used to comprehensively consider the effects of contact mechanics, lubrication, and structural deformations. The model can accurately predict the dynamic performance of the integrated squirrel-cage flexible support roller bearing.