To reduce the structural vibration of a three-span steel box bridge, a three-axis–two degree of freedom (DOF) system is adopted to model the mass effect of the vehicle; and the kinetic equation considering the surface roughness of the bridge is derived based on the Bernoulli–Euler beam ignoring the torsional DOF. The effects of tuned mass damper (TMD) on the steel box bridge show that the system is not efficient in reducing the maximum deflection, but it does efficiently reduce the free vibration of the bridge. It proves that the use of TMD on the bridge brings more efficiency in controlling the dynamic amplitude rather than the maximum static deflection.Keywords
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