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 12
Controlled response of the structure subjected to “Christchurch” 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 | 0.2690 | 0.2496 | 3.01 | 10.00 | 0.0799 | 0.0798 | 1.87 | 1.93 | 0.0596 | 0.0524 | 1.58 | 13.50 | 2.19 | 1.93 | J2 | 0.2740 | 0.2557 | 1.19 | 7.79 | 0.0705 | 0.0583 | 13.39 | 28.43 | 0.0598 | 0.0540 | 1.35 | 10.87 | 2.20 | 1.99 | J3 | 0.2694 | 0.2496 | 2.86 | 9.98 | 0.0804 | 0.0810 | 1.22 | 0.45 | 0.0595 | 0.0523 | 1.87 | 13.72 | 2.19 | 1.92 | JP | 0.2731 | 0.2544 | 1.51 | 8.24 | 0.0706 | 0.0586 | 13.21 | 27.99 | 0.0597 | 0.0537 | 1.45 | 11.44 | 2.20 | 1.97 | 10 | J1 | 0.2766 | 0.2588 | 0.26 | 6.66 | 0.0819 | 0.0831 | −0.64 | −2.11 | 0.0608 | 0.0564 | −0.41 | 6.98 | 2.24 | 2.07 | J2 | 0.2801 | 0.2629 | −1.01 | 5.18 | 0.0742 | 0.0640 | 8.81 | 21.37 | 0.0607 | 0.0570 | −0.24 | 5.94 | 2.23 | 2.10 | J3 | 0.2929 | 0.2598 | −5.64 | 6.30 | 0.0887 | 0.0911 | −8.96 | −11.95 | 0.0588 | 0.0560 | 3.05 | 7.58 | 2.16 | 2.06 | JP | 0.2798 | 0.2624 | −0.91 | 5.37 | 0.0743 | 0.0641 | 8.74 | 21.26 | 0.0607 | 0.0569 | −0.23 | 6.08 | 2.23 | 2.09 | 20 | J1 | 0.2815 | 0.2675 | −1.51 | 3.53 | 0.0836 | 0.0870 | −2.71 | −6.91 | 0.0616 | 0.0595 | −1.69 | 1.83 | 2.27 | 2.19 | J2 | 0.2840 | 0.2762 | −2.42 | 0.39 | 0.0772 | 0.0701 | 5.21 | 13.92 | 0.0613 | 0.0593 | −1.07 | 2.17 | 2.25 | 2.18 | J3 | 0.2938 | 0.3111 | −5.95 | −12.18 | 0.0888 | 0.0984 | −9.13 | −20.86 | 0.0577 | 0.0584 | 4.73 | 3.71 | 2.12 | 2.15 | JP | 0.2838 | 0.2749 | −2.34 | 0.86 | 0.0773 | 0.0702 | 5.09 | 13.77 | 0.0613 | 0.0593 | −1.08 | 2.15 | 2.25 | 2.18 | 30 | J1 | 0.2832 | 0.2763 | −2.14 | 0.38 | 0.0845 | 0.0880 | −3.78 | −8.13 | 0.0619 | 0.0609 | −2.14 | −0.46 | 2.28 | 2.24 | J2 | 0.2856 | 0.2827 | −3.00 | −1.95 | 0.0783 | 0.0733 | 3.75 | 9.96 | 0.0613 | 0.0601 | −1.12 | 0.75 | 2.25 | 2.21 | J3 | 0.2945 | 0.3119 | −6.22 | −12.49 | 0.0889 | 0.0987 | −9.22 | −21.20 | 0.0572 | 0.0580 | 5.61 | 4.36 | 2.10 | 2.13 | JP | 0.2854 | 0.2816 | −2.93 | −1.56 | 0.0784 | 0.0736 | 3.73 | 9.55 | 0.0613 | 0.0602 | −1.14 | 0.61 | 2.25 | 2.21 | 40 | J1 | 0.2841 | 0.2811 | −2.45 | −1.36 | 0.0848 | 0.0886 | −4.20 | −8.84 | 0.0620 | 0.0616 | −2.29 | −1.67 | 2.28 | 2.27 | J2 | 0.2863 | 0.2868 | −3.23 | −3.43 | 0.0789 | 0.0753 | 3.06 | 7.44 | 0.0612 | 0.0605 | −0.98 | 0.18 | 2.25 | 2.22 | J3 | 0.2952 | 0.3125 | −6.45 | −12.71 | 0.0890 | 0.0988 | −9.29 | −21.41 | 0.0570 | 0.0576 | 6.01 | 4.88 | 2.09 | 2.12 | JP | 0.2863 | 0.2859 | −3.23 | −3.09 | 0.0789 | 0.0755 | 3.06 | 7.21 | 0.0612 | 0.0606 | −0.98 | −0.03 | 2.25 | 2.23 | 50 | J1 | 0.2845 | 0.2841 | −2.61 | −2.45 | 0.0848 | 0.0890 | −4.23 | −9.37 | 0.0620 | 0.0620 | −2.28 | −2.37 | 2.28 | 2.28 | J2 | 0.2867 | 0.2888 | −3.41 | −4.16 | 0.0792 | 0.0768 | 2.67 | 5.71 | 0.0611 | 0.0607 | −0.75 | −0.22 | 2.24 | 2.23 | J3 | 0.2957 | 0.3130 | −6.63 | −12.86 | 0.0890 | 0.0990 | −9.36 | −21.57 | 0.0569 | 0.0574 | 6.14 | 5.27 | 2.09 | 2.11 | JP | 0.2866 | 0.2885 | −3.34 | −4.05 | 0.0792 | 0.0768 | 2.64 | 5.63 | 0.0611 | 0.0608 | −0.78 | −0.27 | 2.25 | 2.23 |
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