Design of a Tuned Mass Damper Inerter (TMDI) Based on an Exhaustive Search Optimization for Structural Control of Buildings under Seismic Excitations

Table 11

Controlled response of the structure subjected to “El Centro” earthquake.

β	Optimization alternative	Controlled displacement of the 11^th storey (m)		Reduction of the peak displacement (%)		Controlled RMS value of the displacement of the 11^th 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	0.3966	0.3154	6.76	25.84	0.1434	0.1190	11.30	26.43	0.0678	0.0574	12.87	26.22	2.49	2.11
	J2	0.4000	0.3334	5.95	21.61	0.1221	0.0863	24.47	46.64	0.0679	0.0594	12.74	23.58	2.50	2.19
	J3	0.4189	0.3976	1.51	6.52	0.1662	0.1651	−2.78	−2.11	0.0735	0.0620	5.53	20.34	2.70	2.28
	JP	0.3966	0.3154	6.76	25.84	0.1434	0.1190	11.30	26.43	0.0678	0.0574	12.87	26.22	2.49	2.11
10	J1	0.4064	0.3452	4.46	18.83	0.1415	0.1274	12.50	21.21	0.0688	0.0606	11.58	22.03	2.53	2.23
	J2	0.4081	0.3562	4.04	16.24	0.1309	0.0975	19.04	39.73	0.0688	0.0616	11.59	20.75	2.53	2.27
	J3	0.4081	0.4021	4.05	5.45	0.1642	0.1673	−1.53	−3.44	0.0680	0.0625	12.64	19.65	2.50	2.30
	JP	0.4081	0.3452	4.04	18.83	0.1309	0.1274	19.04	21.21	0.0688	0.0606	11.59	22.03	2.53	2.23
20	J1	0.4123	0.3702	3.05	12.96	0.1403	0.1396	13.24	13.70	0.0694	0.0633	10.78	18.66	2.55	2.33
	J2	0.4132	0.3774	2.84	11.26	0.1377	0.1103	14.88	31.78	0.0692	0.0631	11.02	18.81	2.54	2.32
	J3	0.4134	0.3904	2.80	8.21	0.1529	0.1407	5.48	12.99	0.0689	0.0602	11.48	22.65	2.53	2.21
	JP	0.4132	0.3774	2.84	11.26	0.1377	0.1103	14.88	31.78	0.0692	0.0631	11.02	18.81	2.54	2.32
30	J1	0.4143	0.3811	2.58	10.39	0.1415	0.1449	12.49	10.38	0.0700	0.0642	9.99	17.52	2.57	2.36
	J2	0.4147	0.3868	2.48	9.06	0.1403	0.1172	13.22	27.52	0.0705	0.0638	9.36	18.03	2.59	2.34
	J3	0.4145	0.3956	2.53	6.99	0.1466	0.1433	9.34	11.36	0.0693	0.0610	10.85	21.61	2.55	2.24
	JP	0.4148	0.3867	2.48	9.07	0.1404	0.1174	13.21	27.42	0.0703	0.0636	9.66	18.24	2.58	2.34
40	J1	0.4152	0.3872	2.37	8.95	0.1426	0.1462	11.82	9.59	0.0713	0.0646	8.35	16.95	2.62	2.37
	J2	0.4156	0.3919	2.27	7.85	0.1415	0.1215	12.49	24.86	0.0714	0.0639	8.19	17.89	2.63	2.35
	J3	0.4155	0.3991	2.30	6.16	0.1484	0.1420	8.20	12.21	0.0704	0.0613	9.47	21.19	2.59	2.25
	JP	0.4152	0.3911	2.37	8.04	0.1421	0.1215	12.11	24.85	0.0710	0.0641	8.73	17.64	2.61	2.36
50	J1	0.4156	0.3911	2.28	8.05	0.1435	0.1461	11.25	9.66	0.0722	0.0648	7.22	16.63	2.65	2.38
	J2	0.4160	0.3945	2.18	7.25	0.1422	0.1242	12.04	23.16	0.0722	0.0642	7.21	17.48	2.65	2.36
	J3	0.4160	0.4008	2.18	5.77	0.1500	0.1419	7.22	12.26	0.0711	0.0615	8.62	20.93	2.61	2.26
	JP	0.4157	0.3945	2.26	7.25	0.1427	0.1244	11.78	23.08	0.0716	0.0641	7.97	17.65	2.63	2.35