Research Article

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

Table 2

Results of the proposed optimization procedure.

ScenarioTMD mass (kg)TMD optimized parameters k (N/m); c (Ns/m)Maximum vertical displacement (mm)Dynamic amplification factor

Static case0.3132
Without TMD0.57101.823
1
mtmd1 = 4498.2
ktmd1 = 24508942.280.3231
1.032
ctmd1 = 10.0574
2
mtmd1 = 2249.1ktmd1 = 12210049.580.3272
1.045
ctmd1 = 13.4143
mtmd2 = 2249.1
ktmd2 = 12196121.07
ctmd2 = 14.9268
3mtmd1 = 1499.4ktmd1 = 8138925.960.32571.040
ctmd1 = 12.1952
mtmd2 = 1499.4ktmd2 = 8163326.22
ctmd2 = 10.5451
mtmd3 = 1499.4ktmd3 = 8160046.61
ctmd3 = 11.9033