Tuned mass damper (TMD) device has been a popular vibration control system for moderns as high-rise building, bridge to suppress excessive vibration due to environment or human loading. Moreover, multiple tuned mass dampers have received much attention in the researched. An optimal design theory for bridge implemented with multiple TMD devices is proposed in this paper. The proposed method chooses the objective function with the constraints on the peaks which are at the same heights over frequency ranges of interest. This proposed method successfully reduces vibration of bridge traveled by a car. In a future study, we will extend the optimal design theory for the cases with more than one car and the bridge under seismic loading.

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