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

Table 14

Controlled response of the structure subjected to “Algarrobo” 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	0.2452	0.2251	12.45	19.59	0.0735	0.0722	11.33	12.88	0.0764	0.0722	7.96	13.07	2.81	2.65
	J2	0.2459	0.2384	12.19	14.86	0.0732	0.0700	11.73	15.57	0.0773	0.0718	6.88	13.44	2.84	2.64
	J3	0.2772	0.3355	0.99	−19.81	0.0812	0.0996	2.03	−20.20	0.0750	0.0764	9.69	7.90	2.76	2.81
	JP	0.2452	0.2251	12.45	19.59	0.0735	0.0722	11.33	12.88	0.0764	0.0722	7.96	13.07	2.81	2.65
10	J1	0.2602	0.2279	7.08	18.60	0.0752	0.0723	9.29	12.78	0.0791	0.0750	4.68	9.64	2.91	2.76
	J2	0.2602	0.2359	7.08	15.75	0.0752	0.0705	9.29	14.94	0.0791	0.0730	4.68	12.10	2.91	2.68
	J3	0.2957	0.3328	−5.60	−18.86	0.0861	0.0995	−3.83	−20.08	0.0775	0.0762	6.65	8.20	2.85	2.80
	JP	0.2602	0.2279	7.08	18.60	0.0752	0.0723	9.29	12.78	0.0791	0.0750	4.68	9.64	2.91	2.76
20	J1	0.2710	0.2348	3.21	16.16	0.0773	0.0711	6.70	14.22	0.0811	0.0751	2.31	9.53	2.98	2.76
	J2	0.2710	0.2420	3.21	13.56	0.0773	0.0711	6.70	14.23	0.0811	0.0750	2.31	9.60	2.98	2.76
	J3	0.2923	0.3703	−4.40	−32.24	0.0859	0.0975	−3.57	−17.59	0.0754	0.0672	9.16	19.03	2.77	2.47
	JP	0.2710	0.2348	3.21	16.16	0.0773	0.0711	6.70	14.22	0.0811	0.0751	2.31	9.53	2.98	2.76
30	J1	0.2753	0.2404	1.68	14.16	0.0784	0.0725	5.39	12.56	0.0819	0.0743	1.37	10.52	3.01	2.73
	J2	0.2755	0.2444	1.61	12.72	0.0783	0.0719	5.58	13.30	0.0815	0.0757	1.82	8.74	3.00	2.78
	J3	0.2902	0.3467	−3.63	−23.80	0.0857	0.0948	−3.39	−14.38	0.0738	0.0701	11.12	15.56	2.71	2.58
	JP	0.2755	0.2404	1.61	14.16	0.0783	0.0725	5.58	12.56	0.0815	0.0743	1.82	10.52	3.00	2.73
40	J1	0.2775	0.2488	0.88	11.14	0.0787	0.0740	5.03	10.77	0.0819	0.0747	1.33	9.99	3.01	2.75
	J2	0.2775	0.2509	0.88	10.41	0.0787	0.0728	5.03	12.20	0.0819	0.0760	1.33	8.45	3.01	2.79
	J3	0.2888	0.3361	−3.14	−20.05	0.0856	0.0978	−3.26	−17.92	0.0725	0.0718	12.67	13.50	2.66	2.64
	JP	0.2775	0.2488	0.88	11.14	0.0787	0.0740	5.03	10.77	0.0819	0.0747	1.33	9.99	3.01	2.75
50	J1	0.2788	0.2554	0.44	8.77	0.0790	0.0757	4.68	8.69	0.0821	0.0749	1.06	9.74	3.02	2.75
	J2	0.2792	0.2584	0.27	7.73	0.0790	0.0734	4.73	11.45	0.0818	0.0772	1.44	6.96	3.01	2.84
	J3	0.2880	0.3254	−2.87	−16.20	0.0855	0.0993	−3.18	−19.83	0.0715	0.0722	13.91	13.06	2.63	2.65
	JP	0.2792	0.2558	0.27	8.63	0.0790	0.0738	4.73	10.93	0.0818	0.0760	1.44	8.42	3.01	2.79