# PTMD Control on a Benchmark TV Tower under Earthquake and Wind Load Excitations
## 6 Vibration Control with PTMD
### Parameter Studies
\begin{table}
\begin{tabular}{c c c c c c c c c c c c c c} \hline \hline  & \multicolumn{2}{c}{**Excitation**} & \multicolumn{2}{c}{**Uncontrolled**} & \multicolumn{2}{c}{**TMD**} & \multicolumn{8}{c}{**PTMD Gap (m)**} \\ \cline{3-14}  & & & & & **0.005** & **0.01** & **0.05** & **0.1** & **0.25** & **0.5** & **1** & **2** & **3** \\ \hline \multirow{4}{*}{TJ} & \multirow{4}{*}{0.1 g} & Peak & 2.203 & 2.209 & 1.655 & 1.341 & 1.029 & 1.087 & 1.233 & 1.436 & 1.895 & 2.208 & 2.209 \\  & & RMS & 0.883 & 0.768 & 0.434 & 0.377 & 0.336 & 0.360 & 0.423 & 0.540 & 0.680 & 0.768 & 0.768 \\ \cline{2-14}  & & \multirow{2}{*}{0.2 g} & Peak & 3.672 & 3.682 & 1.543 & 1.442 & 1.210 & 1.181 & 1.313 & 1.545 & 2.005 & 2.920 & 3.677 \\  & & RMS & 1.472 & 1.281 & 0.531 & 0.487 & 0.464 & 0.470 & 0.475 & 0.501 & 0.673 & 1.055 & 1.279 \\ \cline{2-14}  & & \multirow{2}{*}{0.3 g} & Peak & 5.141 & 5.155 & 2.098 & 1.878 & 1.564 & 1.304 & 1.422 & 1.614 & 2.062 & 2.932 & 3.868 \\  & & RMS & 2.060 & 1.792 & 0.534 & 0.506 & 0.493 & 0.507 & 0.566 & 0.655 & 0.681 & 1.030 & 1.436 \\ \hline \multirow{4}{*}{EC} & \multirow{4}{*}{0.1 g} & Peak & 3.068 & 1.787 & 1.128 & 1.042 & 1.136 & 1.217 & 1.317 & 1.337 & 1.781 & 1.787 & 1.787 \\  & & RMS & 1.252 & 0.499 & 0.420 & 0.422 & 0.437 & 0.457 & 0.483 & 0.494 & 0.498 & 0.499 & 0.499 \\ \cline{2-14}  & & \multirow{2}{*}{0.2 g} & Peak & 5.114 & 2.979 & 1.334 & 1.329 & 1.303 & 1.301 & 1.363 & 1.464 & 2.140 & 2.662 & 2.977 \\  & & RMS & 2.087 & 0.831 & 0.555 & 0.555 & 0.550 & 0.558 & 0.592 & 0.657 & 0.785 & 0.828 & 0.831 \\ \cline{2-14}  & & \multirow{2}{*}{0.3 g} & Peak & 7.160 & 4.170 & 1.670 & 1.773 & 1.794 & 1.718 & 1.792 & 1.820 & 2.013 & 3.064 & 3.507 \\  & & RMS & 2.922 & 1.164 & 0.697 & 0.698 & 0.743 & 0.721 & 0.752 & 0.773 & 0.894 & 1.130 & 1.155 \\ \hline \hline \end{tabular}
\end{table} 
Table 6: Comparison of control efficiency with the variation of gap value (mass: 200 t). \begin{table}
\begin{tabular}{c c c c c c c c c c} \hline \hline \multirow{2}{*}{**Excitation**} & \multirow{2}{*}{**Terms**} & \multirow{2}{*}{**Uncontrolled**} & \multicolumn{4}{c}{**TMD**} & \multicolumn{4}{c}{**PTMD**} \\ \cline{3-10}  & & & **200 t** & **300 t** & **500 t** & **200 t** & **300 t** & **500 t** \\ \hline \multirow{4}{*}{Tianjin} & \multirow{2}{*}{0.1 g} & Peak (m) & 2.203 & 2.209 & 2.150 & 1.924 & 1.029 & 1.024 & 1.047 \\  & & RMS (m) & 0.883 & 0.768 & 0.660 & 0.508 & 0.336 & 0.329 & 0.335 \\ \cline{2-10}  & \multirow{2}{*}{0.2 g} & Peak (m) & 3.672 & 3.682 & 3.584 & 3.207 & 1.210 & 1.098 & 1.103 \\  & & RMS (m) & 1.472 & 1.281 & 1.100 & 0.847 & 0.464 & 0.466 & 0.469 \\ \cline{2-10}  & \multirow{2}{*}{0.3 g} & Peak (m) & 5.141 & 5.155 & 5.016 & 4.490 & 1.564 & 1.161 & 1.094 \\  & & RMS (m) & 2.060 & 1.792 & 1.540 & 1.185 & 0.493 & 0.507 & 0.517 \\ \hline \multirow{4}{*}{El Centro} & \multirow{2}{*}{0.1 g} & Peak (m) & 3.068 & 1.787 & 1.383 & 0.924 & 1.136 & 1.246 & 0.908 \\  & & RMS (m) & 1.252 & 0.499 & 0.422 & 0.330 & 0.437 & 0.410 & 0.329 \\ \cline{1-1} \cline{2-10}  & \multirow{2}{*}{0.2 g} & Peak (m) & 5.114 & 2.979 & 2.305 & 1.541 & 1.303 & 1.379 & 1.402 \\ \cline{1-1}  & & RMS (m) & 2.087 & 0.831 & 0.703 & 0.551 & 0.550 & 0.561 & 0.515 \\ \cline{1-1} \cline{2-10}  & \multirow{2}{*}{0.3 g} & Peak (m) & 7.160 & 4.170 & 3.227 & 2.157 & 1.794 & 2.025 & 1.618 \\ \cline{1-1}  & & RMS (m) & 2.922 & 1.164 & 0.984 & 0.771 & 0.743 & 0.760 & 0.642 \\ \hline \hline \end{tabular}
\end{table} 
Table 7: Comparison of control efficiency with the variation of the mass (gap: 0.05 m). Figure 15: Control effectiveness with different gap value (mass: 200 t).