Time history analysis is sometimes used in an estimation of the wind-inducedresponse of a tall building. However, time history analysis for the wind-inducedbehavior by the ensemble-averaging wind force costs much computation time. This paper provides a reliable prediction method for the wind-induced response of the vis-coelastic (VE)-damped system considering its frequency dependency coupling with frame damping effect with frequency spectral method. VE damper used in high-risebuildings can dissipate energy from excessive vibration induced by seismic or wind excitation.Fractional derivative (FD) model of VE dampers can express VE frequency dependency clearly, but it is computationally complicated. The herein proposed prediction method is based on frequency spectral method and evaluated wind-induced responses of the single degree of freedom (SDOF) VE-damped system with a FD VEdamper subjected to the respective 1st modal along- and across-wind force. The maximum error of wind-induced responses of the VE-damped system, such as the root mean square value of responses, the total input energy, and the total energy dissipation, is within 5%. In summary, the proposed method had high accuracy in the prediction of wind-induced responses of the VE-damped system considering its frequency dependency with the coupling effect of frame damping.
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