# Development of a New Rubber Buckling-Restrained Brace System for Structures
## 9 Results and Performance Evaluation  
The seismic behavior of the aforementioned building with a bare frame and furnished by BRB and RBRB was studied by time-history and pushover analysis. It should be mentioned that the Ridge level displacement is included in the table for more accurate information; however, based on the ASCE code, if the Ridge does not have 20% of the last level weight, it should not be included in the calculations.  
The lateral response of each TH record based on the DBE and MCE hazardous level in both the X and Y-directions shows that a structure furnished with both BRB and RBRB performed well under TH records. As shown in Table 13 and Figure 52A, the maximum story lateral displacement, implemented at the BRB and DBE levels, was reduced by 82.89% and reached 88.75% by using RBRB in the Cape Medocino TH record. The results show the advantage of RBRB due to hyper-elastic rubber behavior, which increases energy absorption and results in 41.28% more reduction in the structure compared to the BRB system. Similarly, implementing BRB and RBRB, the lateral displacement of stories was reduced between 75.47% and 84.11% in a MCE hazardous level, respectively, as illustrated in Table 14 and Figure 52B. The same trend with DBE shows that implementing RBRB enhanced the structure performance by 42.71% more than BRB.  
\begin{table}
\begin{tabular}{c c c c c c c c c c c} \hline \hline  & & **Story** & **Ridge** & **Roof** & **6 th** & **5 th** & **4 th** & **3 rd** & **2 nd** & **1 st Floor** & **Base** \\  & & & & **Floor** & **Floor** & **Floor** & **Floor** & **Floor** & **Floor** & **Floor** & **Base** \\ \hline \multirow{3}{*}{
\begin{tabular}{c} Cape \\ Mendocino \\ DBE \\ \end{tabular} } & **Bare** & mm & 537.39 & **449.98** & 336.18 & 231.48 & 153.08 & 92.38 & 45.42 & 12.53 & 0 \\ \cline{2-10}  & BRB & mm & 86.95 & **76.981** & 67.938 & 60.267 & 48.671 & 33.367 & 18.29 & 5.77 & 0 \\ \cline{1-1} \cline{2-10}  & RBRB & mm & 53.298 & **50.638** & 46.925 & 40.61 & 31.897 & 21.849 & 12.37 & 4.261 & 0 \\ \hline \hline \end{tabular}
\end{table}
Table 13: Maximum story displacement based on DBE in X-direction.  
\begin{table}
\begin{tabular}{c c c} \hline \hline
**SI No** & **BRB Section** & **BRB** \\ \hline
1 & Total BRB Weight kN & 8.327 \\ \hline
2 & Overall Depth (mm) & 304.8 \\ \hline
3 & Overall Width (mm) & 203.2 \\ \hline
4 & Area of Yielding Core (mm\({}^{2}\)) & 3871 \\ \hline
5 & Stiffness of Elastic Segment (kN/mm) & 1116.444 \\ \hline
6 & Length of Yielding Core (mm) & 4267.2 \\ \hline
7 & Length of Elastic Segment (mm) & 1755.49 \\ \hline
8 & Current Linear Effective Axial Stiffness (kN/mm) & 156.032 \\ \hline
9 & Initial Stiffness, K0 (kN/mm) & 181.381 \\ \hline
10 & Final Stiffness, Kf (kN/mm) & 3.083 \\ \hline
12 & Tension Yield Strength, Fy (kN) & 1187.675 \\ \hline
13 & Tension Strength, Fu0 (kN) & 1401.19 \\ \hline
14 & Compression Yield Strength, Fy (kN) & 1174.331 \\ \hline
15 & Compression Strength, Fu0 (kN) & 1387.845 \\ \hline
16 & Tension Deformation, Du (mm) & 16.642 \\ \hline
17 & Tension Deformation, Dx (mm) & 170.688 \\ \hline
18 & Compression Deformation, Du (mm) & 16.642 \\ \hline
19 & Compression Deformation, Dx (mm) & 170.688 \\ \hline \hline \end{tabular}
\end{table}
Table 12: Material and inelastic section properties parameters of BRBs.