Optimal Three-Dimensional Sensor Placement for Cable-Stayed Bridge Based on Dynamic Adjustment of Attenuation Factor Gravitational Search Algorithm

Table 3

Calculation results based on response of cable-stayed bridge.

Order	Direction	Natural frequency	Modal participation factor	Effective modal mass	ri in corresponding direction	R in three directions
30	x	5.4742	3258.2	0.10616E + 08	0.5661	0.1781
2	z	0.7627	3035.3	0.92131E + 07	0.4477	0.3327
3	y	0.9631	2800.4	0.78423E + 07	0.3869	0.4643
9	y	1.6349	2587.1	0.66931E + 07	0.3302	0.5766
48	z	10.295	2257.7	0.50972E + 07	0.2477	0.6621
6	z	1.2662	2215.5	0.49084E + 07	0.2385	0.7445
11	x	1.8105	−1498.9	0.30582E + 07	0.1631	0.7958
16	x	2.6809	−1498.9	0.22467E + 07	0.1198	0.8335
7	y	1.3117	−1493.8	0.22314E + 07	0.1101	0.8709
27	y	4.9842	1355.0	0.18360E + 07	0.0906	0.9017
34	x	6.5904	925.95	0.85739E + 06	0.0457	0.9161
8	z	1.5352	−662.25	0.43858E + 06	0.0213	0.9235