# On Wind-Induced Fatigue of Curtain Wall Supporting Structure of a High-Rise Building
## 3 Analysis of Results
### Distribution Law of Fatigue Life  
In this study, Node 4 was selected as a representative to analyze the wind-induced fatigue life distribution law of curtain wall supporting structure. Figure 9 describes a schematic diagram of the orientation of each partition, and fatigue analysis is performed on the glass curtain wall in the northwest zone with greater stress.  
In this paper, the probability life is used to reflect the degree of fatigue damage, and the probability life (P-Cycle) is the product of the probability of the condition (Probability) and the fatigue life (Cycle). In general, the probability life of nodes in different regions is between 0-10\({}^{16}\) and obviously distributed in three regions. According to the probability life distribution in the northwest area (Figure 10), working conditions with high probability life (bluish area) mainly face wind velocity 0-5 m/s and an azimuth angle between 30\({}^{\circ}\)-120\({}^{\circ}\) and 240\({}^{\circ}\)-260\({}^{\circ}\). Working conditions with middle probability life (greenish area) mainly experience wind velocity 4-8 m/s and azimuth angle 0\({}^{\circ}\)-360\({}^{\circ}\). Wind velocity 8-15 m/s and an azimuth angle 50\({}^{\circ}\)-100\({}^{\circ}\), 120\({}^{\circ}\)-200\({}^{\circ}\), and 260\({}^{\circ}\)-300\({}^{\circ}\) are found in working conditions with low probability life (reddish area), and this part accounts for the largest proportion of all probability life conditions.  
\begin{table}
\begin{tabular}{c c c c c c c} \hline \hline \multirow{2}{*}{**Node**} & \multicolumn{2}{c}{**Normal Distribution**} & \multicolumn{2}{c}{**Generalized Extreme Value Distribution**} & \multirow{2}{*}{**Nuclear Distribution**} \\ \cline{2-2} \cline{4-6}  & \(\chi^{2}\) & \(\chi^{2}_{a}\) (7) & & \(\chi^{2}\) & \(\chi^{2}_{a}\) (6) & \(\chi^{2}\) & \(\chi^{2}_{a}\) (8) \\ \hline
1 & 0.0772 & & 0.0167 & & 0.0036 & \\ \hline
2 & 0.3128 & & 0.6958 & & 0.5447 & \\ \hline
3 & 0.2864 & & 0.6904 & & 0.5598 & \\ \hline
4 & 0.8864 & & 0.0337 & & 0.0415 & \\ \hline \hline \end{tabular}
\end{table}
Table 7: Hypothesis test parameters for life distributions.  
Figure 9: Partition azimuth.  
Table 8 introduces 10 working conditions with shorter probability life at Node 4. On the whole, the probability life of node 4 is distributed between [10\({}^{6}\), 10\({}^{11}\)]; the probability of a single working condition is generally below 0.01%, with a maximum of less than 0.02%; the azimuth is distributed between [190\({}^{\circ}\), 365\({}^{\circ}\)], and wind velocity is between [8, 12]. According to the calculation, about 95% of fatigue damage takes place in the first 30 working conditions, and the fatigue damage value is between 3.5 \(\times\) 10\({}^{-3}\)-9.36 \(\times\) 10\({}^{-2}\). The total damage of node 4 calculated in this paper is about 10\({}^{-3}\) orders of magnitude, and the fatigue damage of bolt of curtain wall aluminum calculated in the literature [17] is between 10\({}^{-3}\)-10\({}^{-6}\) orders of magnitude, which is not much different from the total fatigue damage calculated in this paper and can be used as a comparison.