## 4 Result Analysis
### Dynamic Response Analysis under Moving Loads  
#### 4.4.1 The Influence of Single Order Optimization on Dynamic Response  
The purpose of optimizing the damping loss factor is to increase the absorption energy. That is to say, the dynamic response of the system decreases when the external force is applied. The focus of this paper is the dynamic response under moving loads. The load (F = 981 N) moves along a line (\(y_{L}\) = \(W/2\)) of the partially cover plate at 50 m/s. In this  
\begin{table}
\begin{tabular}{c c c c c} \hline \hline \multirow{2}{*}{**Boundary**} & \multicolumn{4}{c}{**Coordinates of the Patch (\(x\), \(y\)) and Loss Factors \(\eta\)**} \\ \cline{2-5}  & **1 st Order** & **2 nd Order** & **3 rd Order** & **4 th Order** \\ \hline CFCF & (0, 0.066) & (0.32, 0.275) & (0, 0.161) & (0.32, 0.16) \\  & 0.00444 & 0.00433 & 0.00618 & 0.00248 \\ SFSF & (0, 0) & (0, 0) & (0, 32, 0.16) & (0, 0.16) \\  & 0.01338 & 0.00921 & 0.00780 & 0.00360 \\ CGSF & (0, 0.32) & (0, 0.32) & (0, 0.176) & (0, 0.160) \\  & 0.00971 & 0.00759 & 0.00716 & 0.00335 \\ \hline \hline \end{tabular}
\end{table}
Table 7: The first four loss factors after optimizing the location of the patch for CFCF, SFSF, CGSF.  
\begin{table}
\begin{tabular}{c c c c c} \hline \hline \multirow{2}{*}{**Patch Sizes**} & \multicolumn{4}{c}{**Coordinates of the Patch (\(x\), \(y\)) and Loss Factors \(\eta\)**} \\ \cline{2-5}  & **1 st Order** & **2 nd Order** & **3 rd Order** & **4 th Order** \\ \hline
0.04 m \(\times\) 0.04 m & (0.144, 0.352) & (0.182, 0.36) & (0.309, 0.36) & (0, 0.36) \\  & 0.01211 & 0.00969 & 0.00446 & 0.00576 \\
0  
section, the dynamic response of the partially covered plate with four kinds of patch sizes (0.04 m \(\times\) 0.04 m, 0.08 m \(\times\) 0.08m, 0.16 m \(\times\) 0.16 m, 0.16 m \(\times\) 0.04 m) for the CFFF condition after the first four order damping optimization under a moving load is investigated. Other parameters are the same as before. Figure 7a-d shows the dynamic responses of the center point of the partially covered plate with four kinds of patch sizes. Blue, red, pink and black solid lines represent the results of the first, second, third and fourth order damping optimizations, respectively. As shown in Figure 7a-d, with the increase in the coverage area, the dynamic response of the composite plate decreases accordingly. It shows that increasing the coverage area will increase the stiffness and damping of the system so as to resist the deformation caused by the moving force.  
From Figure 7a-d, with the increase in the order of the optimized damping loss factor, the dynamic response of the system increases accordingly. From the optimization point of view, the best optimization strategy is to optimize the damping loss factor with a smaller order. It may be related to the dominant position of the low order loss factor in the system. At the same time, it will be found that this strategy will not change as the coverage size changes. Therefore, it can be concluded that no matter what the coverage size, the dynamic response of the system always decreases with the decrease in the order of the optimal damping loss factor.  
Figure 7: Dynamic response of the partially covered plate with different patch sizes after first four order damping loss factor optimization for CFFF. (**a**) 0.04 m \(\times\) 0.04 m; (**b**) 0.08 m \(\times\) 0.08 m; (**c**) 0.16 m \(\times\) 0.04 m; (**d**) 0.16 m \(\times\) 0.16 m.