## 7 Analysis of Semi-Active Vibration Absorption Effect
### Analysis of Peak Vibration Absorption Effect  
In order to analyze the vibration absorption effect of PC continuous girder bridge with CSWs by various semi-active control algorithms under the action of earthquake motion, the peak and RMS values of the following parameters of PC continuous girder bridge with CSWs are selected in this section and the vibration absorption effect is analyzed. The parameters, main girder (expressed as mid-span node) displacement, acceleration, and bending moment and shear force at the bottom of pier #2 and pier #3, are respectively represented as Disp-beam, Acce-beam, Move-2#, Shear-2#, Move-3#, and Shear-3#, respectively. The vibration rate absorption of each algorithm is represented by VBR (VBR represents vibration rate absorption). The vibration absorption effect data under various semi-active control algorithms are shown in Table 4.  
As can be seen from Table 4, it should be mentioned that the peak seismic response of the PC continuous girder bridge with CSWs is better controlled under the action of different semi-active control algorithms, with the vibration rate absorption ranging from 30% to 60%. The vibration absorption effects on seismic response of different semi-active control algorithms are different; under the action of Semicttl1, the bottom internal force of pier #3 is better controlled, while under the action of Semicttl2 and Semicttl3, the displacement of the main beam and the bottom internal force of pier #2 are better controlled. However, not all the seismic responses of the PC continuous girder bridge with CSWs are controlled under the semi-active control. The semi-active control system of the composite bridge structure is subjected to external energy input, and in order to ensure the overall system energy balance, the semi-active control system amplifies some response parameters while reducing most of the response parameters of the composite bridge structure, such as acceleration, which is amplified under the first two semi-active control algorithms. For this amplification, verification of the design of the semi-active control system is recommended to ensure that \begin{table}
\begin{tabular}{c c c c c c c c} \hline \hline \multicolumn{1}{c}{**Seismic Response**} & \multicolumn{1}{c}{**Disp-Beam**} & \multicolumn{1}{c}{**Acce-Beam**} & \multicolumn{1}{c}{**Move-2\#**} & \multicolumn{1}{c}{**Shear-2\#**} & \multicolumn{1}{c}{**Move-3\#**} & \multicolumn{1}{c}{**Shear-3\#**} \\  & **(cm)** & **(m/s\({}^{2}\))** & **(1\(\times\) 10\({}^{7}\) N-m)** & **(1\(\times\) 10\({}^{8}\) N)** & **(1\(\times\) 10\({}^{7}\) N-m)** & **(1\(\times\) 10\({}^{5}\) N)** \\ \hline \multirow{2}{*}{Unctrl} & Peak & 9.93 & 2.30 & 3.07 & 15.92 & 1.73 & 12.12 \\  & RMS & 3.18 & 0.55 & 0.98 & 5.08 & 0.36 & 2.55 \\ \hline \multirow{2}{*}{Semicttl1} & Peak & 5.77 & 2.84 & 1.83 & 9.96 & 0.81 & 5.50 \\  & RMS & 1.34 & 0.66 & 0.42 & 2.23 & 0.26 & 1.76 \\ \hline \multirow{2}{*}{VBR1} & Peak & 42\% & \(-\)23\% & 40\% & 37\% & 53\% & 55\% \\  & RMS & 58\% & \(-\)20\% & 57\% & 56\% & 28\% & 31\% \\ \hline \multirow{2}{*}{Semicttl2} & Peak & 4.47 & 2.99 & 1.39 & 8.50 & 1.21 & 7.76 \\  & RMS & 1.24 & 0.59 & 0.39 & 2.06 & 0.31 & 1.87 \\ \hline \multirow{2}{*}{VBR2} & Peak & 55\% & \(-\)30\% & 55\% & 47\% & 30\% & 36\% \\  & RMS & 61\% & \(-\)7\% & 60\% & 59\% & 14\% & 27\% \\ \hline \multirow{2}{*}{Semicttl3} & Peak & 4.51 & 2.35 & 1.39 & 8.01 & 1.12 & 8.19 \\  & RMS & 0.93 & 0.44 & 0.29 & 1.50 & 0.21 & 1.33 \\ \hline \multirow{2}{*}{VBR3} & Peak & 55\% & \(-\)2\% & 55\% & 50\% & 35\% & 32\% \\  & RMS & 71\% & 20\% & 70\% & 70\% & 42\% & 48\% \\ \hline \multirow{2}{*}{Active} & Peak & 4.29 & 2.37 & 1.32 & 7.61 & 1.20 & 7.99 \\  & RMS & 0.88 & 0.43 & 0.27 & 1.43 & 0.21 & 1.37 \\ \hline \multirow{2}{*}{VBR4} & Peak & 57\% & \(-\)3\% & 57\% & 52\% & 31\% & 34\% \\  & RMS & 72\% & 22\% & 72\% & 72\% & 42\% & 46\% \\ \hline \hline \end{tabular}
\end{table} 
Table 4: Analysis of various semi-active vibration absorption effects (peak and RMS). the amplified response is tolerable.