Study on Optimal Placement and Reasonable Number of Viscoelastic Dampers by Improved Weight Coefficient Method

Table 3

Optimal calculation for case 1.

Story	Earthquake	𝑊𝑘	∑^𝑛𝑖=1𝑊𝑖	𝑊𝑘/∑^𝑛𝑖=1𝑊𝑖	𝑁(𝑊𝑘/∑^𝑛𝑖=1𝑊𝑖)	𝑁𝑘
1	El Centro	130780	857718.6	0.15	1.83	2
	Northridge	81339.5	308790.3	0.26	3.16	3
	Imperial Valley	35064.82	145344.4	0.24	2.90	3
	Tianjin	122828.9	889286.3	0.14	1.66	2
2	El Centro	179236.4	857718.6	0.21	2.51	3
	Northridge	104232.8	308790.3	0.34	4.05	3
	Imperial Valley	46811.38	145344.4	0.32	3.86	3
	Tianjin	177512.9	889286.3	0.20	2.40	2
3	El Centro	170634.2	857718.6	0.20	2.39	2
	Northridge	73045.34	308790.3	0.24	2.84	3
	Imperial Valley	36157.5	145344.4	0.25	2.99	3
	Tianjin	170438.9	889286.3	0.19	2.30	2
4	El Centro	142590.5	857718.6	0.17	1.99	2
	Northridge	33427.78	308790.3	0.11	1.30	2
	Imperial Valley	17779.92	145344.4	0.12	1.47	2
	Tianjin	143765.5	889286.3	0.16	1.94	2
5	El Centro	96344.12	857718.6	0.11	1.35	1
	Northridge	13383.64	308790.3	0.04	0.52	1
	Imperial Valley	622.46	145344.4	0.00	0.00	0
	Tianjin	114449.4	889286.3	0.13	1.54	2
6	El Centro	64871.4	857718.6	0.08	0.91	1
	Northridge	3361.22	308790.3	0.01	0.13	0
	Imperial Valley	0	145344.4	0.00	0.00	0
	Tianjin	77249.5	889286.3	0.09	1.04	1
7	El Centro	42150.96	857718.6	0.05	0.59	1
	Northridge	0	308790.3	0.00	0.00	0
	Imperial Valley	555.78	145344.4	0.00	0.00	0
	Tianjin	48947.2	889286.3	0.06	0.66	1
8	El Centro	18588.14	857718.6	0.02	0.26	0
	Northridge	0	308790.3	0.00	0.00	0
	Imperial Valley	2315.88	145344.4	0.02	0.19	0
	Tianjin	22726.54	889286.3	0.03	0.31	0
9	El Centro	6705.2	857718.6	0.01	0.09	0
	Northridge	0	308790.3	0.00	0.00	0
	Imperial Valley	2974.04	145344.4	0.02	0.25	1
	Tianjin	9685.74	889286.3	0.01	0.13	0
10	El Centro	4511.84	857718.6	0.01	0.06	0
	Northridge	0	308790.3	0.00	0.00	0
	Imperial Valley	2424.72	145344.4	0.02	0.20	0
	Tianjin	1681.68	889286.3	0.00	0.00	0
11	El Centro	1305.86	857718.6	0.00	0.00	0
	Northridge	0	308790.3	0.00	0.00	0
	Imperial Valley	637.92	145344.4	0.00	0.05	0
	Tianjin	0	889286.3	0.00	0.00	0
12	El Centro	0	857718.6	0.00	0.00	0
	Northridge	0	308790.3	0.00	0.00	0
	Imperial Valley	0	145344.4	0.00	0.00	0
	Tianjin	0	889286.3	0.00	0.00	0
13	El Centro	0	857718.6	0.00	0.00	0
	Northridge	0	308790.3	0.00	0.00	0
	Imperial Valley	0	145344.4	0.00	0.00	0
	Tianjin	0	889286.3	0.00	0.00	0
14	El Centro	0	857718.6	0.00	0.00	0
	Northridge	0	308790.3	0.00	0.00	0
	Imperial Valley	0	145344.4	0.00	0.00	0
	Tianjin	0	889286.3	0.00	0.00	0
15	El Centro	0	857718.6	0.00	0.00	0
	Northridge	0	308790.3	0.00	0.00	0
	Imperial Valley	0	145344.4	0.00	0.00	0
	Tianjin	0	889286.3	0.00	0.00	0