Active multiple-tuned mass dampers for asymmetric structures considering soil–structure interaction

By resorting to Fourier transform, the equations of motion for the soil-asymmetric structure-active multiple-tuned mass dampers (AMTMD) interaction system are developed in the frequency domain under the ground acceleration. The criterion for searching the optimum parameters of the AMTMD is selected as the minimization of the minimum values of the maximum displacement dynamic magnification factors (DMF) of the asymmetric structure with the AMTMD. The estimation criterion of the effectiveness of the AMTMD is chosen as the ratio of the minimization of the minimum values of the maximum displacement DMF of the asymmetric structure with the AMTMD to the maximum displacement DMF of the asymmetric structure without the AMTMD. Employing these two criteria, the parametric studies for the influences of the normalized eccentricity ratio (NER), torsional to translational frequency ratio (TTFR), stiffness ratio of the soil relative to the structure, and height-to-base ratio of the soil-asymmetric structure interaction system are then carried out on both the effectiveness and robustness of the AMTMD. Simultaneously, the effectiveness of a single active-tuned mass damper (ATMD) with the optimum position is also presented and compared with that of the AMTMD. Extensive numerical simulations show that both the AMTMD and ATMD can effectively attenuate the translational and torsional responses of asymmetric structures built on soft soil foundation. Copyright © 2009 John Wiley & Sons, Ltd.

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