Robust Design of Tuned Mass Dampers for Passive Control of Structures Under Earthquake Excitations

Abstract eng:
Design of Tuned Mass Dampers (TMD’s) for passive control of structures subject to earthquake loading is often performed in a deterministic setting, neglecting uncertainties in loading and/or in system parameters. In this paper, it is shown that such designs are not robust w.r.t. the uncertainties present in both loading and system parameters. A methodology is introduced for the optimal design of such systems, yielding TMD configurations which are robust w.r.t. variabilities and uncertainties in loading and system parameters. A robustness measure is introduced in order to compare robust and non-robust solutions. The objective function is written in terms of time-variant system reliability. Monte Carlo simulation is employed as uncertainty quantification solver, and the SQP algorithm is used to solve the constrained optimization problem. A re-start procedure is adopted in order to ensure convergence to a global optimum. A ten-story building is employed as application example. It is shown that the robust formulation leads to structural responses which are less sensitive to variabilities and uncertainties in loading and system parameters.

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