## 4 Calculation Example
### Establishing Finite Element Model
#### 4.1.2 Model Calibration: Oasys GSA Model and ANSYS Model Analysis Comparison  
ANSYS Calculation Results  
Figure 9a-f shows the structure response under the dead load state in the ANSYS model. For the horizontal displacement of the CR and tension ring, the results are given in the cylindrical coordinate system.  
\begin{table}
\begin{tabular}{c c c c c c} \hline \hline
**CR Element** & **PCR (kN)** & \(\boldsymbol{\alpha}\) & **E** & **A (m2)** & \(\boldsymbol{\Delta}\)**T**\({}^{\  
Comparison of Results  
(1). Comparison of vertical displacement of tension rings  
Figure 9: ANSYS calculation results: (**a**) radial displacement of CR (m); (**b**) radial displacement of tension ring (m); (**c**) vertical displacement of tension ring (m); (**d**) equivalent stress of CR (Pa); (**e**) radial cable forces (N); (**f**) tension ring cable forces (N).  
Figure 10 shows comparison curves of the vertical displacement of 56 typical tension ring nodes between the results of ANSYS and Oasys GSA. The vertical displacement of the tension rings calculated by ANSYS is \(-19\) to \(-22.6\) mm and calculated by Oasys GSA is \(-16.5\) to \(-23.5\) mm. The difference in vertical displacement between the two calculations is slight (maximum difference is \(4.4\) mm and minimum difference is \(0.1\) mm).  
(2). Comparison of vertical displacement of cantilever end of radial beam  
There are 56 radial beams in the whole roof structure. Figure 11 shows comparison curves of vertical displacement of 56 cantilever ends between ANSYS and Oasys GSA. The vertical displacement calculated by ANSYS is \(-14.3\) is \(-33.4\) mm and by GSA is \(-5\) to \(-34.5\) mm. The absolute value of Oasys GSA results is slightly smaller than that of ANSYS, with a maximum displacement difference of \(9.4\) mm and minimum displacement difference of \(0.2\) mm. The difference is again slight, and the variation trend is similar.  
(3). Comparison of vertical reaction forces at the bottom of structural columns  
Figure 11: Radial beam cantilever ends’ vertical displacements comparison curve (mm).  
Figure 10: Comparison curve of vertical displacement of typical tension ring nodes (mm).  
Figure 12 shows that the vertical reaction forces at the bottom of the column obtained by ANSYS are between 396.5 and 1320 kN, and the results of Oasys GSA are between 410 and 1317.8 kN, so the two results are basically the same.  
(4). Comparison of radial cable forces  
It can be seen in Figure 13 that the radial cable forces obtained by ANSYS are between 1407.7 and 4682.3 kN, and the results of Oasys GSA are between 1435 and 4755 kN, so the two results are basically the same.  
(5.) Comparison of tension ring cable force  
The tension ring is divided into 56 segments by 56 radial cables. Figure 14 shows a comparison curve of the tension ring cable forces. The cable forces obtained by ANSYS are between 23,716 and 23,825 kN, and the results of Oasys GSA are between 23,980 and  
Figure 12: Comparison curve of vertical reaction forces of structural columns (kN).  
Figure 13: Comparison curve of radial cable force (kN).  
24,090 kN. The results of the latter are slightly larger than those of the former, while the cable force difference ratios are still relatively small at 1.1% and 1.2%.  
Therefore, it can be considered that the calculation results of ANSYS are basically consistent with the design model results (Oasys GSA), and the accuracy of the ANSYS model is verified.