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Abstract

ABSTRACT: One of the most promising and effective passive vibration control dampers is the TunedMass Damper (TMD). Many conventional optimization criteria are based on the implicit assumption that allparameters involved are deterministically known. Removing this assumption means to convert a conventionaloptimization into a robust one. In this paper, a model for the robust optimum design of TMD is provided sothat the optimal design of damper by considering the uncertainties possible in the earthquake load and alsothe structure properties can be achieved. The structural vibration control of the main system with a singlelinear TMD under a stochastic dynamic load is investigated. The dynamic input is represented by a randombase acceleration, modeled by a stationary filtered white noise process. It is assumed that not only mechanicalparameters of the main structure but also the input spectral contents are affected by uncertainty. The standarddeviation of displacement of the protected main structure (dimensionless by dividing to the unprotected one) iscalculated as the deterministic objective function (OF), and to achieve a robust design the mean and standarddeviation of OF are considered as a multi-objective function which shall be minimum. The damping ratio andthe frequency of TMD have been selected as design parameters. The results provide the different choices fordesigners to select an optimal TMD based on the priority of minimum mean of the maximum displacement ofthe structure or the minimum dispersion in a random space.