Optimization of Multiple Tuned Mass Dampers for Road Bridges Taking into Account Bridge-Vehicle Interaction, Random Pavement Roughness, and Uncertainties

Table 5

Results of the proposed optimization procedure taking uncertainties into account.

Scenario	TMD mass (kg)	TMD optimized parameters k (N/m); c (Ns/m)	Mean maximum vertical displacement (mm)	Mean dynamic amplification factor
Static case	—	—	0.3172	—
Without TMD	—	—	0.6234	1.965
3	mtmd1 = 4498.2	ktmd1 = 31019373.55	0.3967	1.251
		ctmd1 = 24816.94
	mtmd2 = 4498.2	ktmd2 = 16894861.26
		ctmd2 = 5887.50
	mtmd3 = 4498.2	ktmd3 = 22234302.01
		ctmd3 = 2579.55