Modern slender footbridges are sensitive to human-induced vibrations together with the uncertainty associated with the variation of the operational and environmental conditions. In order to overcome these limitations,semi-active damping devices have been widely employed due to their adequatebalance between their effectiveness and their cost when they are used to control thepedestrian-induced vibrations in footbridges. Different design methods have beenproposed to guarantee that the footbridges, controlled by these damping devices,meet the vibration serviceability limit state without compromising their budget.Among these proposals, the motion-based design method has shown a high performance when it has been implemented to design passive damping devices forfootbridges. Herein, the motion-based design method under uncertainty conditions has been adapted and further implemented for the robust optimum design ofsemi-active tuned mass dampers when they are employed to control the pedestrianinduced vibrations in slender footbridges. According to this method, the designproblem can be transformed into two sub-problems: (i) a multi-objective optimization sub-problem; and (ii) a reliability analysis sub-problem. Thus, its mainobjective is to find the parameters of the semi-active damping device which guarantee an adequate comfort level without compromising its cost. In order to take intoaccount the effect of the modification of the structural modal properties associatedwith the variation of the operational and environmental conditions, the complianceof the design requirements has been formulated via a reliability index. Therefore, areliability analysis must be performed to assess the probability of failure associatedwith the abovementioned serviceability limit state.
Modern slender footbridges are sensitive to human-induced vibrations together with the uncertainty associated with the variation of the operational and environmental conditions. In order to overcome these limitations,semi-active damping devices have been widely employed due to their adequatebalance between their effectiveness and their cost when they are used to control thepedestrian-induced vibrations in footbridges. Different design methods have beenproposed to guarantee that the footbridges, controlled by these damping devices,meet the vibration serviceability limit state without compromising their budget.Among these proposals, the motion-based design method has shown a high performance when it has been implemented to design passive damping devices forfootbridges. Herein, the motion-based design method under uncertainty conditions has been adapted and further implemented for the robust optimum design ofsemi-active tuned mass dampers when they are employed to control the pedestrianinduced vibrations in slender footbridges. According to this method, the designproblem can be transformed into two sub-problems: (i) a multi-objective optimization sub-problem; and (ii) a reliability analysis sub-problem. Thus, its mainobjective is to find the parameters of the semi-active damping device which guarantee an adequate comfort level without compromising its cost. In order to take intoaccount the effect of the modification of the structural modal properties associatedwith the variation of the operational and environmental conditions, the complianceof the design requirements has been formulated via a reliability index. Therefore, areliability analysis must be performed to assess the probability of failure associatedwith the abovementioned serviceability limit state. Read More
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