Research Article
Design of a Tuned Mass Damper Inerter (TMDI) Based on an Exhaustive Search Optimization for Structural Control of Buildings under Seismic Excitations
Table 13
Controlled response of the structure subjected to “Kobe” earthquake.
| β | Optimization alternative | Controlled displacement of the 11th storey (m) | Reduction of the peak displacement (%) | Controlled RMS value of the displacement of the 11th storey (m) | Reduction of the RMS value of the peak displacement (%) | Peak interstorey drift (m) | Reduction of the maximum peak interstorey drift (%) | Peak interstorey drift ratio (%) | µ = 2% | µ = 5% | µ = 2% | µ = 5% | µ = 2% | µ = 5% | µ = 2% | µ = 5% | µ = 2% | µ = 5% | µ = 2% | µ = 5% | µ = 2% | µ = 5% |
| 5 | J1 | 0.5350 | 0.5046 | 6.43 | 11.74 | 0.0942 | 0.0931 | 2.38 | 3.50 | 0.0984 | 0.0899 | 7.82 | 15.77 | 3.62 | 3.30 | J2 | 0.5590 | 0.5391 | 2.23 | 5.70 | 0.0840 | 0.0755 | 12.97 | 21.81 | 0.1071 | 0.1064 | −0.40 | 0.24 | 3.94 | 3.91 | J3 | 0.5350 | 0.5046 | 6.43 | 11.74 | 0.0942 | 0.0931 | 2.38 | 3.50 | 0.0984 | 0.0899 | 7.82 | 15.77 | 3.62 | 3.30 | JP | 0.5350 | 0.5046 | 6.43 | 11.74 | 0.0942 | 0.0931 | 2.38 | 3.50 | 0.0984 | 0.0899 | 7.82 | 15.77 | 3.62 | 3.30 |
| 10 | J1 | 0.5284 | 0.5015 | 7.57 | 12.27 | 0.0941 | 0.0939 | 2.50 | 2.68 | 0.0963 | 0.0893 | 9.72 | 16.29 | 3.54 | 3.28 | J2 | 0.5588 | 0.5388 | 2.25 | 5.75 | 0.0862 | 0.0766 | 10.65 | 20.62 | 0.1073 | 0.1071 | −0.53 | −0.37 | 3.94 | 3.94 | J3 | 0.5317 | 0.5015 | 6.99 | 12.27 | 0.0943 | 0.0939 | 2.33 | 2.68 | 0.0970 | 0.0893 | 9.13 | 16.29 | 3.56 | 3.28 | JP | 0.5284 | 0.5015 | 7.57 | 12.27 | 0.0941 | 0.0939 | 2.50 | 2.68 | 0.0963 | 0.0893 | 9.72 | 16.29 | 3.54 | 3.28 |
| 20 | J1 | 0.5173 | 0.4956 | 9.51 | 13.31 | 0.0936 | 0.0944 | 3.03 | 2.20 | 0.0942 | 0.0869 | 11.76 | 18.60 | 3.46 | 3.19 | J2 | 0.5582 | 0.5380 | 2.37 | 5.89 | 0.0881 | 0.0791 | 8.70 | 18.07 | 0.1073 | 0.1071 | −0.54 | −0.36 | 3.94 | 3.94 | J3 | 0.5173 | 0.4956 | 9.51 | 13.31 | 0.0936 | 0.0944 | 3.03 | 2.20 | 0.0942 | 0.0869 | 11.76 | 18.60 | 3.46 | 3.19 | JP | 0.5173 | 0.4956 | 9.51 | 13.31 | 0.0936 | 0.0944 | 3.03 | 2.20 | 0.0942 | 0.0869 | 11.76 | 18.60 | 3.46 | 3.19 |
| 30 | J1 | 0.5095 | 0.4918 | 10.89 | 13.98 | 0.0931 | 0.0944 | 3.50 | 2.13 | 0.0923 | 0.0845 | 13.46 | 20.83 | 3.39 | 3.11 | J2 | 0.5580 | 0.5377 | 2.39 | 5.96 | 0.0889 | 0.0807 | 7.87 | 16.33 | 0.1078 | 0.1077 | −0.99 | −0.91 | 3.96 | 3.96 | J3 | 0.5095 | 0.4918 | 10.89 | 13.98 | 0.0931 | 0.0944 | 3.50 | 2.13 | 0.0923 | 0.0845 | 13.46 | 20.83 | 3.39 | 3.11 | JP | 0.5095 | 0.4918 | 10.89 | 13.98 | 0.0931 | 0.0944 | 3.50 | 2.13 | 0.0923 | 0.0845 | 13.46 | 20.83 | 3.39 | 3.11 |
| 40 | J1 | 0.5045 | 0.4901 | 11.76 | 14.28 | 0.0928 | 0.0944 | 3.87 | 2.16 | 0.0907 | 0.0831 | 15.04 | 22.12 | 3.33 | 3.06 | J2 | 0.5575 | 0.5370 | 2.49 | 6.08 | 0.0893 | 0.0819 | 7.48 | 15.17 | 0.1079 | 0.1082 | −1.14 | −1.44 | 3.97 | 3.98 | J3 | 0.5045 | 0.4901 | 11.76 | 14.28 | 0.0928 | 0.0944 | 3.87 | 2.16 | 0.0907 | 0.0831 | 15.04 | 22.12 | 3.33 | 3.06 | JP | 0.5045 | 0.4901 | 11.76 | 14.28 | 0.0928 | 0.0944 | 3.87 | 2.16 | 0.0907 | 0.0831 | 15.04 | 22.12 | 3.33 | 3.06 |
| 50 | J1 | 0.5017 | 0.4899 | 12.24 | 14.30 | 0.0925 | 0.0944 | 4.14 | 2.21 | 0.0893 | 0.0824 | 16.31 | 22.75 | 3.28 | 3.03 | J2 | 0.5569 | 0.5362 | 2.59 | 6.21 | 0.0894 | 0.0826 | 7.34 | 14.39 | 0.1080 | 0.1086 | −1.19 | −1.78 | 3.97 | 3.99 | J3 | 0.5017 | 0.4899 | 12.24 | 14.30 | 0.0925 | 0.0944 | 4.14 | 2.21 | 0.0893 | 0.0824 | 16.31 | 22.75 | 3.28 | 3.03 | JP | 0.5017 | 0.4899 | 12.24 | 14.30 | 0.0925 | 0.0944 | 4.14 | 2.21 | 0.0893 | 0.0824 | 16.31 | 22.75 | 3.28 | 3.03 |
|
|