Earthquake Protection of Existing Structures with Limited Seismic Joint: Base Isolation with Supplemental Damping versus Rotational Inertia

Table 3

List of results considering average RMS values of response indicators (Monte Carlo method with 100 artificial samples).

Seismic retrofitting strategy	Superstructure-related response indicators						BIS displacement	TMD stroke
	Last-floor displacement	2nd interstory drift	4th floor acceleration	Base shear	Kinetic energy	Strain energy
#1. Conventional BIS (reference solution)	8.58	17.27	82.31	229.0	38.19	1879.8	7.92	—
#2. BIS with rotational inertia (TMDI)	3.87	8.20	42.34	108.0	9.88	502.5	3.56	5.85
	(−54.8%)	(−52.5%)	(−48.6%)	(−53.1%)	(−74.1%)	(−73.3%)	(−55.1%)	(−26.1%)
#3. BIS with TMD	5.61	11.02	53.95	146.0	18.18	844.9	5.19	16.41
	(−34.7%)	(−36.2%)	(−34.5%)	(−36.4%)	(−52.4%)	(−55.1%)	(−34.6%)	(+107.1%)
#4. BIS with supplemental damping	5.06	10.48	52.17	138.0	15.73	772.6	4.67	—
	(−41.0%)	(−39.3%)	(−36.6%)	(−39.6%)	(−58.8%)	(−58.9%)	(−41.2%)	—
#5. BIS with supplemental damping	4.40	10.48	52.17	122.0	15.73	772.6	4.00	—
	(−48.7%)	(−39.3%)	(−36.6%)	(−47.0%)	(−58.8%)	(−58.9%)	(−49.5%)	—