## 5 Conclusions
\begin{tabular}{l l l l} CMS & Conditional mean spectrum & \(i\) & Influence vector \\ CM-UW & Uniformly weighted closest spectra & \(L_{n}\) & Modal excitation factor of mode \(n\) \\ CM-VW & Variably weighted closest spectra & m, c and k & Mass, damping, and stiffness matrices \\ DS & design spectrum & \(M_{n}\) & Generalized mass of mode \(n\) \\ FCCFD & Frequency contents combination & \(S_{aj}(T)\) & Spectrum acceleration value of motion \(j\) \\  & in the frequency domain & \(S_{a}^{\dagger}(T)\) & at period \(T\) \\ FCCTD & Frequency contents combination & \(S_{a}^{\dagger}(T)\) & Spectrum acceleration value of target \\ IDR & Inter-story drift ratio & \(S_{d1}\) & Design spectrum acceleration at 1.0 s \\ IGMs & Input ground motions & \(S_{d8}\) & Design spectrum acceleration at 0.2 s \\ MGMS & Modal-based ground motion selection & \(t_{k}\) & Any time point within the duration \\ MSE & Mean computed weighted mean & \(T_{j0}\) & duration of motion j \\ NL-ESDOF & Nonlinear equivalent & \(T_{L}\) & Long-period transition period \\  & single-degree-of-freedom system & \(T_{n}\) & Vibration period of NL-ESDOF \\ NLRHA & nonlinear response time history analysis & \(T_{n}^{*}\) & of mode \(n\) \\ SDOF & Single-degree-of-freedom system & \(u_{jn}^{c}\) & The maximum displacement of \\ \(u\) & Displacement vector of floor & \(u_{jn}(t_{k})\) & Displacement of NL-ESDOF of mode \(n\) \\ \(a_{n}(t)\) & Normalized top displacement & \(u_{rn}\) & Rood displacement of mode \(n\) \\  & time history of mode \(n\) & \(V_{bn}\) & The base shear force of mode \(n\) \\ \(\overline{d}_{ij}\) & Benchmark demands \(i\)th story for motion set \(j\) & \(V_{bn}\) & The base shear force of mode \(n\) \\  & Seismic demands at \(i\)th story calculated & & \\ \(d_{M}^{ij}\) & using IGMs from selection method \(M\) for motion set \(j\) & \(\alpha_{i}\) & Modal mass coefficient of mode \(i\) \\ \(D_{n}\) & Peak displacement of mode \(n\) & \(\beta_{j}\) & Maximum modal combination factor \\  & & of motion j \\ \(d_{n}\) & Displacement of ESDOFs of mode \(n\) & \(\beta_{jk}\) & Maximum modal combination factor \\  & & of motion j at time tk \\ \(D_{n}(t)\) & Top displacement time history of the mode \(n\) & \(\Gamma_{n}\) & the modal participating factor \\  & mode \(n\) & & of mode \(n\) \\ \(d_{ny}\) & Yield displacement of ESDOFs of mode \(n\) & \(\delta_{M}^{ij}\) & The relative difference between the \\  & & & benchmark demands of motion set \(j\) and \\  & & & demands computed using IGMs from \\  & & & selection method \(M\) at the \(i\)th story \\ \(F_{sn}\) & Restoring force of ESDOFs of mode \(n\) & \(\phi_{n}\) & Mode shape of mode \(n\) \\ \(F_{sny}\) & Yield force of ESDOFs of mode \(n\) & \(\phi_{rn}\) & Mode shape value at the roof of mode \(n\) \\ \end{tabular}   
Figure A2: Section views of wall structures. \begin{table}
\begin{tabular}{c c c c c c c} \hline \hline  & \multicolumn{3}{c}{**Motion Set 3**} & \multicolumn{3}{c}{**Motion Set 4**} \\ \cline{2-7}
**Record ID** & \multicolumn{1}{c}{**Scale**} & \multicolumn{1}{c}{**RSN No.**} & \multicolumn{1}{c}{**Component**} & \multicolumn{1}{c}{**Scale**} & \multicolumn{1}{c}{**RSN No.**} & \multicolumn{1}{c}{**Component**} \\  & **Factor** & **RSN No.** & **(deg)** & **Factor** & **RSN No.** & **(deg)** \\ \hline
1 & 4.572 & RSN28 & 0 & 3.666 & RSN796 & 0 \\
2 & 3.839 & RSN736 & 137 & 3.656 & RSN827 & 0 \\
3 & 3.266 & RSN827 & 0 & 3.281 & RSN832 & 0 \\
4 & 3.544 & RSN838 & 0 & 3.976 & RSN1019 & 0 \\
5 & 3.552 & RSN1019 & 0 & 3.009 & RSN1083 & 170 \\
6 & 4.657 & RSN1029 & 0 & 4.225 & RSN1166 & 180 \\
7 & 3.774 & RSN1166 & 180 & 3.127 & RSN1208 & E \\
8 & 3.615 & RSN1277 & E & 4.047 & RSN1277 & E \\
9 & 4.153 & RSN1293 & N & 4.080 & RSN1280 & E \\
10 & 4.606 & RSN1346 & N & 4.649 & RSN1293 & N \\ \hline \hline \end{tabular}
\end{table} 
Table 10: Details of IGMs of motion sets 1 and 2.