Abstract
The dynamic behavior of a combined bridge–vehicle system in which the bridge is modeled as a Timoshenko beam and the vehicle as a half-car planar model is investigated using the finite element method. The governing equations of motion of the Timoshenko beam with the attached tuned mass damper (TMD) traversed by a moving vehicle are obtained. Adesign optimization algorithm is developed in which the analysis module based on the derived finite element formulation has been combined with the optimization module using the sequential programming technique. The objective is to determine the optimum values of the parameters (frequency and damping ratios) of a TMD, in order to minimize the maximum frequency response of the beam midspan when traversed by a moving vehicle. Results obtained illustrate that by attaching an optimally TMD to the Timoshenko beam a significantly faster vibration control can be achieved.
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