基于一阶模态控制的惯质吸振器抗风设计

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振动与冲击 ›› 2023, Vol. 42 ›› Issue (15) : 65-72.

论文

基于一阶模态控制的惯质吸振器抗风设计

乔浩帅，黄鹏

作者信息 +

Wind resistant design of structure using IVAs based on first order modal control

QIAO Haoshuai, HUANG Peng

Author information +

文章历史 +

摘要

设置动力吸振器是结构风振控制的常用方法之一。采用Sherman-Morrison逆运算推导了多自由度结构在新型惯质吸振器控制下的显式频响函数，给出了由于吸振器安装导致的模态耦合效应的物理描述。以利用调谐惯容阻尼器（Tuned Inerter Damper, TID）进行结构抗风设计为例，基于不动点法提出了以一阶模态控制为目标的半解析半数值参数设计方法。基于某高层建筑实例，分析了模态耦合对惯质吸振器参数设计及减振效果评估的影响,验证了所提方法相较于未考虑模态耦合效应的方法在参数设计上的优越性。结果表明，随着惯容量增大和拓扑层数增加，惯质吸振器的减振效果越好，但模态耦合效应也越明显，需要在参数设计和性能评估中予以考虑。

Abstract

Applying dynamic vibration absorbers is one of the widely-adopted strategies for wind-induced vibration control. By exploiting the Sherman-Morrison inversion, the explicit frequency response functions of a multi-degree-of-freedom structure controlled by novel inerter-based vibration absorbers (IVAs) were derived. The physical description of the modal interaction effects attributed to IVA installation was presented. Taking wind-resistance design of structures using Tuned Inerter Damper as an example, a semi-analytical numerical design strategy for the first-order mode control was proposed based on the fixed-point theory. Based on the real case of a high-rise building, the influences of modal interactions on parametric design and performance evaluation were quantified, and the superiority in parametric optimization of the proposed design strategy over that of the one without considering modal interactions was validated. The results demonstrate that better control performance can be achieved by well-designed IVAs having larger inertance and spanning more floors, but meanwhile, the modal interactions become more significant and need to be considered.

导出引用

乔浩帅，黄鹏. 基于一阶模态控制的惯质吸振器抗风设计[J]. 振动与冲击, 2023, 42(15): 65-72

QIAO Haoshuai, HUANG Peng. Wind resistant design of structure using IVAs based on first order modal control[J]. Journal of Vibration and Shock, 2023, 42(15): 65-72

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