## 5 Results
### The Effect of Directions of Waves on the Salvage System
#### 5.2.1 The Effect of Directions of Waves on the Ship's Motion Response
\begin{table}
\begin{tabular}{c c c c c c c c c c c c} \hline \hline \multirow{2}{*}{
\begin{tabular}{c} **Working** \\ **Conditions** \\ \end{tabular} } & \multirow{2}{*}{**6 DOFs**} & \multicolumn{2}{c}{**Safety Score**} & \multicolumn{2}{c}{**Stability Score**} & \multicolumn{2}{c}{**Mode 1**} & \multicolumn{2}{c}{**Ranking Score**} & \multirow{2}{*}{**Weight**} & \multicolumn{2}{c}{**Single DOF**} & \multicolumn{1}{c}{**Mode 2**} \\  & & **A** & **B** & **C** & **A** & **B** & **C** & & & & \\ \hline \multirow{4}{*}{90\({}^{\circ}\)} & Roll & 1 & 1 & 3 & 3 & 2 & 3 & & 5.000 & 1.5 & 97.500 & \\  & Pitch & 1 & 2 & 1 & 1 & 3 & 1 & & 1.500 & 1.25 & 16.875 & \\  & Yaw & 2 & 1 & 1 & 1 & 1 & 1 & 61 & 4.167 & 1.25 & 36.458 & \\  & Surge & 3 & 2 & 3 & 1 & 1 & 1 & 1 & 1.000 & 1 & 11.000 & 256.833 \\  & Surgy & 1 & 1 & 1 & 3 & 3 & 3 & & 4.167 & 1 & 50.000 & \\  & Heave & 3 & 1 & 1 & 2 & 1 & 1 & & 5.000 & 1 & 45.000 & \\ \hline \multirow{4}{*}{115\({}^{\circ}\)} & Roll & 1 & 1 & 3 & 3 & 3 & 3 & & 3.647 & 1.5 & 77.000 & \\  & Pitch & 2 & 2 & 1 & 3 & 3 & & 1.833 & 1.25 & 27.500 & \\  & Yaw & 2 & 3 & 1 & 1 & 1 & 3 & 65 & 1.500 & 1.25 & 20.625 & \\  & Surge & 1 & 1 & 1 & 1 & 2 & 2 & 2 & 3.000 & 1 & 27.000 & \\  & Heave & 3 & 1 & 1 & 1 & 3 & 3 & & 3.333 & 1 & 33.333 & \\ \hline \multirow{4}{*}{135\({}^{\circ}\)} & Roll & 1 & 1 & 2 & 3 & 3 & 1 & & 3.333 & 1.5 & 55.000 & \\  & Pitch & 2 & 3 & 3 & 1 & 3 & 3 & & 2.833 & 1.25 & 31.25 & 20.292 \\  & Surge & 1 & 3 & 3 & 1 & 1 & 1 & & 2.333 & 1 & 23.333 & \\  & Surge & 1 & 2 & 3 & 3 & 1 & 1 & 1 & & 2.500 & 1 & 27.500 & \\  & Heave & 2 & 1 & 1 & 1 & 1 & 1 & & 2.667 & 1 & 18.667 & \\ \hline \multirow{4}{*}{155\({}^{\circ}\)} & Roll & 1 & 1 & 1 & 3 & 3 & 1 & & 1.667 & 1.5 & 25.000 & \\  & Pitch & 3 & 3 & 3 & 3 & 3 & 3 & & 4.667 & 1.25 & 105.000 & \\  & Yaw & 1 & 1 & 1 & 3 & 1 & 3 & & 1.500 & 1.25 & 18.750 & 252.583 \\  & Surge & 2 & 3 & 2 & 3 & 2 & 2 & 3.667 & 1 & 31.333 & \\  & Surgy & 1 & 1 & 1 & 1 & 2 & 3 & 3.500 & 1 & 31.500 & \\  & Heave & 2 & 2 & 1 & 2 & 1 & 1 & & 2.333 & 1 & 21.000 & \\ \hline \multirow{4}{*}{180\({}^{\circ}\)} & Roll & 1 & 1 & 2 & 3 & 1 & 1 & & 1.333 & 1.5 & 18.000 & \\  & Pitch & 2 & 2 & 2 & 2 & 3 & 2 & & 4.167 & 1.25 & 67.088 & \\  & Yaw & 1 & 1 & 1 & 1 & 3 & 1 & 57 & 4.667 & 1.25 & 46.667 & 198.875 \\  & Surge & 1 & 1 & 1 & 1 & 1 & 1 & & 5.000 & 1 & 30.000 & \\  & Sway & 1 & 2 & 1 & 3 & 1 & 3 & & 1.500 & 1 & 16.500 & \\  & Heave & 2 & 2 & 1 & 3 & 1 & 1 & & 2.000 & 1 & 20.000 & \\ \hline \hline \end{tabular}
\end{table} 
Table 5: The safety assessment scores of the three ships under the action of waves in different directions. thus, poses considerable danger. Therefore, we consider the maximum MA and RMS of the three vessels in the P1, P2, and P3 stages as evaluation elements. The six new samples: \(MA_{a}\), \(MA_{b}\), \(Ma_{c}\), \(RMS_{a}\), \(RMS_{b}\), and \(RMS_{c}\) were ranked by size, and the higher the ranking, the greater the score. The ranking scores in Table 5 represent the average scores of these six samples. Recognizing that the importance of each DOF varies in the salvage process of sunken ships and that rotational movements in the x-, y-, and z-directions warrant greater attention than translational movements, the weights of the 6 DOFs are 1.5, 1.25, 1.25, 1, 1, and 1. In Table 5, the Single Degree of Freedom (SDOF) score can refer to Formula (11). For instance, considering the roll response influenced by 90\({}^{\circ}\) waves, the SDOF score is 97.5. In this scenario, the Safety score encompasses the summation of corresponding values for the two lifting barges, denoted as A and B, and shipwck C. This summation equates to \(1+1+3\). Similarly, the Stability score is calculated as \(3+2+3\). Consequently, the resulting Ranking Score stands at 5, while the Weight factor assumes a value of 1.5. Accordingly, the cumulative sum of the Safety and Stability scores yields 13, culminating in a final score of 97.5 after factoring in the Ranking Score and Weight.