Prediction on wind‐induced responses for tall buildings considering frequency dependency of viscoelastic damped structures

Daiki Sato, Ting‐Wei Chang
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Abstract

SummaryTime history analysis is sometimes used in an estimation of the wind‐induced response of a tall building. However, time history analysis for the wind‐induced behavior by the ensemble‐averaging wind force costs much computation time. This paper provides a reliable prediction method for the wind‐induced response of the viscoelastic (VE)‐damped system considering its frequency dependency coupling with frame damping effect with frequency spectral method. VE damper used in high‐rise buildings 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 VE damper 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 . 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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考虑粘弹性阻尼结构的频率相关性,预测高层建筑的风致响应
摘要时间历程分析有时用于估算高层建筑的风致响应。然而,通过集合平均风力进行风致行为的时间历程分析需要耗费大量计算时间。考虑到粘弹性(VE)阻尼系统的频率相关性与框架阻尼效应的耦合,本文采用频谱法为粘弹性阻尼系统的风致响应提供了一种可靠的预测方法。高层建筑中使用的粘弹性阻尼器可以消散地震或风激励引起的过度振动所产生的能量。VE 阻尼器的分数导数(FD)模型可以清晰地表达 VE 的频率相关性,但计算复杂。本文提出的预测方法基于频率谱方法,评估了带有 FD VE 阻尼器的单自由度 (SDOF) VE 阻尼系统在各自的第一模态沿风力和跨风力作用下的风致响应。VE 阻尼系统风致响应的最大误差,如响应的均方根值、总输入能量和总能量耗散,均在±0.5%以内。 总之,考虑到 VE 阻尼系统的频率依赖性和框架阻尼的耦合效应,所提出的方法在预测 VE 阻尼系统的风致响应方面具有很高的精度。
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