高层建筑结构随机振动的最优阻尼器控制策略

提出考虑阻尼器布置与阻尼器参数同步优化的高层建筑结构随机最优控制方法。为有效地寻找每个序列工况的阻尼器最优拓扑和阻尼器最优参数,分别定义了基于超越概率的层可控指标梯度最小准则和能量均衡最优准则。上述控制准则内蕴了系统安全性、系统服务性、系统舒适性、阻尼器工作性以及它们之间的均衡。以随机地震动作用下十层剪切型框架结构的黏滞阻尼器最优控制为例进行分析,结果表明,采用该方法可以以最小的投资获得最大的控制效益,受控后结构反应沿层分布较受控前更均匀、能达到所期望的结构性态。

Optimal damping control scheme for random vibration of high-rising building structures

An integrated scheme for optimization design of damper placement and parameters of passively controlled structures is proposed in the present paper.The scheme features the simultaneous consideration of optimal control force and optimal device placement.Two control criteria with a minimum storey controllability index gradient and an optimal energy trade-off are defined,respectively,to efficiently search for the optimal topology and optimal parameters of dampers.The control criteria both hinge on the exceedance probability that indicates system safety,system serviceability,system comfort,damper workability,and their trade-off.The resolution procedure of the integrated scheme is detailed,and a numerical example is investigated involving a randomly base-excited ten-storey shear frame equipped with viscoelastic dampers.Numerical results reveal that the proposed integrated scheme can gain the maximum control effectiveness with the minimum control cost.The controlled system response is significantly reduced and becomes smoother along the height of the structure,which results in a more desirable structural performance.