## 3 Results and Discussion  
An integrated squirrel-cage support roller bearing is used as an example to analyze the influence of structural deformation on the load distribution, dynamic behavior, and fatigue life of the bearing. The parameters of the bearing are given in Tables 1-3, and the numerical values of the analysis results depend on the geometry of the bearing. \begin{table}
\begin{tabular}{c c c c} \hline \hline
**Parameter** & **Value/mm** & **Parameter** & **Value** \\ \hline Inner ring & 59.6 & inner ring thickness (mm) & 5 \\ Outer ring & 82.2 & outer ring thickness (mm) & 3.6 \\ Roller quantity & 30 & length of squirrel-cage (mm) & 10.25 \\ Roller diameter & 5 & shift thickness (mm) & 4 \\ Roller length & 5 & radial load (N) & 19,621.1 \\ clearance & 0.05 & Speed (r/min) & 38,000 \\ \hline \hline \end{tabular}
\end{table} 
Table 1: Geometry parameters and working conditions of the bearing. \begin{table}
\begin{tabular}{c c c c} \hline \hline
**Component** & **Elastic Modulus (E)/CPA** & **Poisson Ratio (v)** & **Density (\(\rho\))/kg/m\({}^{3}\)** & **Thermal Expansion** \\ \hline Shaft & 179 & 0.281 & 8240 & 0.0138 \\ Inner ring & 203 & 0.28 & 7850 & 0.0112 \\ Roller & 209 & 0.3 & 7860 & 0.0119 \\ Outer ring-squirrel Cage & 203 & 0.28 & 7850 & 0.0112 \\ \hline \hline \end{tabular}
\end{table} 
Table 2: Material parameters of the bearing and squirrel-structure. Figure 3: Flow diagram of the quasi-dynamic iterative FEA model. The temperature of the components can influence the rheological behavior of the oil and the internal clearance of the bearing; thus, it is necessary to consider the temperature of each of the bearing components. Additionally, the FEA model is built with dimensions after heat expansion. Consideration the influence of structural deformations, the abovementioned quasi-dynamic iterative FEA model is used to calculate the load distribution of the bearing. The FEA model has 1.3 million elements, and the mesh size on the contact areas of raceway is 0.11 mm, while that of the bearing body is 0.8 mm. A computer with two CPU (Central Processing Unit) (Intel Xeon E5-2650, octa-core, 2.00 GHz, Intel Corporation, Santa Clara, CA, USA) and 64 GB Random-Access Memory (RAM) was used to simulate this model. 20 minutes were needed to preprocess the model, and, during each iteration, 10 to 15 minutes were needed to solve. The quasi-dynamic model is built using MATLAB (MATLAB R2013b, MathWorks Corporation, Natick, MA, USA), and, during each iteration, two minutes were required to solve. After 73 iterations, the load distribution reached convergence. Figure 4 shows the deformation of the structure, and the equivalent radius \(R_{1}^{\prime}\), \(R_{2}^{\prime}\) of the raceways are calculated and depicted in Figure 5. The maximum radial deviation between the equivalent radius and the original radius is 0.01428 mm. The calculated results are compared to those based on the rigidity assumption, without consideration of the influence of the structural deformation. The load distribution of the bearing is shown in Figure 6.  
It can be seen from the above results that, compared to the results calculated under the rigid support assumption, the maximum roller/raceway load decreased to 3035 N from 3537 N due to the influence of the deformation of the flexible squirrel-cage support structure, representing a decrease of 14.2%. Moreover, the internal bearing load is distributed more evenly. The number of loaded rollers decreased to 9 from 11, so the loading range is enlarged to 120\({}^{\circ}\) (\(-\)60\({}^{\circ}\)\(\sim\)60\({}^{\circ}\)) from 96\({}^{\circ}\) (\(-\)48\({}^{\circ}\)\(\sim\)48\({}^{\circ}\)), representing an increase of 25%. Because bearing sliding is strongly dependent on the roller/raceway load, the change in the load distribution alters the bearing slide ratio. Compared to the rigid support, the bearing cage slide ratio under the flexible support decreased from 6.28% to 4.77%, representing a decrease of 24.05%. Figure 7 shows the slide ratio distribution of each roller.