# Mechanical Behaviors and Numerical Simulation Analysis of a New Isolation System
## 3 Numerical Analysis of a Based Isolated System and Conventional Structure
### Model Results Analysis
#### 3.3.3 Inter-Story Displacement  
Through sliding friction tests without rolling balls as well as compound friction tests with four and five rolling balls, friction coefficients of 0.04 and 0.05 were obtained. Using three types of earthquake waves to analyze the interlayer shear force in the X direction, interlayer displacement data for the isolation structure were obtained, as shown in Table 2. It can be seen that the El Centro wave, Kobe wave, and Shanghai artificial wave have different degrees of influence on the interlayer displacement of the structure. Among them, the Shanghai artificial wave has the greatest influence on the interlayer displacement of the structure, followed by the Kobe wave, while the El Centro wave has a relatively small  
\begin{table}
\begin{tabular}{c c c c c c c c c} \hline \hline \multirow{2}{*}{**Friction Coefficient**} & \multirow{2}{*}{**X Acceleration/gal**} & \multirow{2}{*}{**Floor**} & \multicolumn{2}{c}{**El Centro Wave**} & \multicolumn{2}{c}{**Kobe Wave**} & \multicolumn{2}{c}{**Shanghai Wave**} \\ \cline{4-9}  & & & **Convention** & **Based Isolated** & **Convention** & **Based Isolated** & **Convention** & **Based Isolated** \\  & & & **m/s2** & **m/s2** & **m/s2** & **m/s2** & **m/s2** & **m/s2** & **m/s2** \\ \hline \multirow{4}{*}{0.04} & \multirow{4}{*}{200} & 1 & 2.12 & 0.99 & 2.81 & 1.02 & 3.41 & 1.79 \\  & & 2 & 2.62 & 0.82 & 2.89 & 0.93 & 3.82 & 1.51 \\  & & 3 & 3.25 & 0.76 & 3.51 & 0.98 & 4.23 & 1.28 \\  & & 4 & 3.48 & 0.84 & 4.22 & 0.84 & 4.96 & 1.37 \\ \cline{2-9}  & & 1 & 7.63 & 1.81 & 6.39 & 1.92 & 7.03 & 2.68 \\  & & 2 & 8.41 & 1.42 & 7.84 & 1.86 & 8.42 & 2.16 \\  & & 3 & 9.29 & 1.21 & 9.01 & 1.58 & 9.11 & 2.08 \\  & & 4 & 10.54 & 1.34 & 11.46 & 1.49 & 10.96 & 2.43 \\ \hline \multirow{4}{*}{0.05} & \multirow{4}{*}{200} & 1 & 2.43 & 1.12 & 3.11 & 1.37 & 3.88 & 1.97 \\  & & 2 & 3.06 & 1.04 & 3.95 & 1.22 & 4.21 & 1.69 \\  & & 3 & 3.94 & 0.86 & 4.26 & 1.02 & 4.86 & 1.55 \\  & & 4 & 4.71 & 0.95 & 5.02 & 1.21 & 5.32 & 1.72 \\ \cline{2-9}  & & 1 & 9.11 & 2.83 & 9.82 & 3.84 & 7.23 & 3.25 \\  & & 2 & 10.93 & 2.42 & 9.46 & 3.19 & 9.46 & 3.12 \\  & & 3 & 11.16 & 2.15 & 11.59 & 2.93 & 12.77 & 2.97 \\  & & 4 & 14.83 & 2.36 & 15.23 & 3.54 & 16.84 & 2.51 \\ \hline \hline \end{tabular}
\end{table}
Table 1: Inter-story displacement of based isolated structures and conventional structures.  
Figure 13: Comparison Diagram of Floor Acceleration under El Centro wave. (**a**) El Centro wave 200 gal; (**b**) El Centro wave 400 gal.  
influence. In addition, at an earthquake intensity of 200 gal, as the friction coefficient increases, the interlayer displacement of the first, second, third, and fourth layers of the structure will increase, but the interlayer displacement of the isolation layer will decrease. When the earthquake intensity is 400 gal, the interlayer displacement of the first, second, and third layers of the structure will also increase with the increase in the friction coefficient, but the interlayer displacement of the isolation layer will decrease with the increase in the friction coefficient. Generally speaking, the greater the earthquake intensity, the larger the corresponding structure's interlayer displacement. In addition, as the number of floors increases, the interlayer displacement gradually decreases.