Figure 1

Figure 2

Figure 3

Characteristics of the structure_
| Feature | Value |
|---|---|
| Height of structure (m) | 60 |
| Period of structure (s) | 1.7247 |
| Coefficient of reflection | 0.9023 |
| Coefficient of importance | 1 |
| Coefficient of behavior | 7.5 |
| Acceleration scheme | 0.35 |
| Coefficient of earthquake | 0.0421 |
Performance evaluation of different models in prediction of the story drifts (parameters of each model are demonstrated in the text)_
| Regression model | Parameters | Normalized MSE | R2 | ||
|---|---|---|---|---|---|
| Train | Test | Train | Test | ||
| k-NN | k = 1 | 0.036 | 0.049 | 0.932 | 0.855 |
| k = 2 | 0.036 | 0.050 | 0.932 | 0.849 | |
| k = 3 | 0.040 | 0.053 | 0.912 | 0.830 | |
| k = 4 | 0.049 | 0.068 | 0.863 | 0.725 | |
| k = 5 | 0.045 | 0.066 | 0.886 | 0.740 | |
| DT | type = ID3 | 0.022 | 0.038 | 0.988 | 0.918 |
| type = C4.5 | 0.020 | 0.033 | 0.994 | 0.942 | |
| type = CART | 0.025 | 0.042 | 0.978 | 0.896 | |
| type = CHAID | 0.043 | 0.060 | 0.897 | 0.783 | |
| type = MARS | 0.049 | 0.056 | 0.863 | 0.810 | |
| RF | - | 0.033 | 0.048 | 0.946 | 0.862 |
| ANN | hidden layer size = 2 | 0.050 | 0.066 | 0.857 | 0.740 |
| hidden layer size = 4 | 0.040 | 0.059 | 0.912 | 0.790 | |
| hidden layer size = 6 | 0.039 | 0.054 | 0.917 | 0.824 | |
| hidden layer size = 8 | 0.046 | 0.070 | 0.880 | 0.710 | |
| hidden layer size = 10 | 0.039 | 0.052 | 0.917 | 0.837 | |
| hidden layer size = 12 | 0.030 | 0.049 | 0.959 | 0.855 | |
| hidden layer size = 14 | 0.037 | 0.058 | 0.927 | 0.797 | |
| hidden layer size = 16 | 0.042 | 0.061 | 0.902 | 0.776 | |
| hidden layer size = 18 | 0.051 | 0.067 | 0.851 | 0.732 | |
| hidden layer size = 20 | 0.050 | 0.058 | 0.857 | 0.797 | |
| SVM | kernel type = linear, C = 10 | 0.019 | 0.029 | 0.998 | 0.960 |
| kernel type = linear, C = 20 | 0.022 | 0.031 | 0.988 | 0.951 | |
| kernel type = linear, C = 30 | 0.021 | 0.035 | 0.991 | 0.933 | |
| kernel type = Gaussian, C = 10 | 0.018 | 0.026 | 0.995 | 0.972 | |
| kernel type = Gaussian, C = 20 | 0.017 | 0.025 | 0.995 | 0.976 | |
| kernel type = Gaussian, C = 30 | 0.008 | 0.010 | 0.999 | 0.993 | |
| kernel type = RBF, C = 10 | 0.030 | 0.038 | 0.959 | 0.918 | |
| kernel type = RBF, C = 20 | 0.028 | 0.046 | 0.966 | 0.873 | |
| kernel type = RBF, C = 30 | 0.029 | 0.046 | 0.962 | 0.873 | |
| NB | - | 0.041 | 0.063 | 0.907 | 0.762 |
Results of feature selection for sensitivity analysis of seismic and structural uncertainties_
| Story | Seismic uncertainty | Structural uncertainty | ||||||
|---|---|---|---|---|---|---|---|---|
| Relieff | t-test | SFS | CSC | Relieff | t-test | SFS | CSC | |
| 1 | 0.44 | 0.51 | 0.50 | 0.68 | 0.23 | 0.30 | 0.29 | 0.11 |
| 5 | 0.53 | 0.60 | 0.52 | 0.69 | 0.44 | 0.35 | 0.45 | 0.32 |
| 10 | 0.85 | 1.00 | 0.76 | 0.82 | 0.70 | 0.59 | 0.71 | 0.77 |
| 15 | 1.00 | 0.95 | 1.00 | 1.00 | 0.73 | 0.86 | 0.80 | 0.83 |
| 20 | 0.84 | 0.81 | 0.79 | 0.78 | 0.70 | 0.79 | 0.74 | 0.79 |
Studied earthquake records and their characteristics_
| Event | Year | Magnitude | Radius (km) | Station |
|---|---|---|---|---|
| Cape Mendocino | 1992 | 7.1 | 23.6 | Fortuna – Fortuna Blvd |
| Cape Mendocino | 1992 | 7.1 | 18.5 | Rio Dell Overpass – FF |
| Duzce | 1999 | 7.1 | 15.6 | Lamont |
| Northridge | 1994 | 6.7 | 23.9 | N Faring Rd |
| Northridge | 1994 | 6.7 | 29.5 | N Fletcher Dr |
| Loma Prieta | 1989 | 6.9 | 19.9 | Gilory Array #6 |
| Loma Prieta | 1989 | 6.9 | 21.4 | Anderson Dam (Downst) |
| Loma Prieta | 1989 | 6.9 | 21.4 | Anderson Dam (Abut) |
| Loma Prieta | 1989 | 6.9 | 22.3 | Coyote Lake Dam |
| Northridge | 1994 | 6.7 | 22.6 | Castaic – Old Ridge Route |
| Northridge | 1994 | 6.7 | 31.3 | LA – Baldwin Hills |
| Northridge | 1994 | 6.7 | 20.8 | Beverly Hills – 12520 Mulhol |
| Northridge | 1994 | 6.7 | 24.0 | Big Tujunga, Angeles Nat F |
| Northridge | 1994 | 6.7 | 25.7 | LA – Century City C C North |
| Northridge | 1994 | 6.7 | 23.7 | LA – Chalon Rd |
| Northridge | 1994 | 6.7 | 17.7 | Sunland – Mt Gleason Ave |
| Northridge | 1994 | 6.7 | 20.0 | Burbank – Howard Rd |
| Northridge | 1994 | 6.7 | 25.7 | Hollywood – Willoughby A |
| Northridge | 1994 | 6.7 | 24.5 | Vasquez Rocks Park |
| San Fernando | 1971 | 6.6 | 24.9 | Castaic – Old Ridge Route |
Dead and dynamic loads of stories and roofs_
| Dead load (kg.m−2) | Dynamic load (kg.m−2) | |
|---|---|---|
| Stories | 1250 | 500 |
| Roof | 1125 | 375 |