伸臂桁架-主动调谐质量阻尼器组合系统地震作用下最优控制与最优伸臂桁架位置

Optimal control and optimal outrigger locations of the outrigger-ATMD system subject to seismic loads

在原有伸臂桁架系统的基础上加入主动调谐质量阻尼器(ATMD)构成一个多效的组合系统,提出了该组合系统基于虚拟激励法的简化分析模型。首先将组合系统的运动方程改写为状态空间方程,并在此状态空间里采用线性二次规划方法(LQR)方法求解ATMD的最优控制力;然后将此最优控制力带入原有的运动方程中应用虚拟激励法求解组合系统在地震作用下的响应;最后通过对一原型高层结构进行一系列的参数分析,对比了伸臂桁架-主动调谐质量阻尼器组合系统与纯伸臂桁架系统最优位置以及最优位置所对应的结构顶部位移。参数分析结果表明:ATMD能明显减小普通伸臂桁架系统的位移响应,但是对于阻尼伸臂桁架系统减小作用不明显甚至有较多位移放大的情况;ATMD在地震作用下可以降低最优伸臂桁架位置。

The pseudo excitation method(PEM)-based simplified model of a combined system is proposed in this study.This combined system is constructed by attaching the active tuned mass damper(ATMD)at the top of the outrigger system.First,the equation of motion of this combined system is rewritten in term of state-space equation.Accordingly,in this state space the linear quadratic regulator(LQR)method is used to compute the optimal control force of ATMD.After this optimal control force is substituted into the original equation of motion,the structural responses in the frequency domain can be calculated by the pseudo excitation method(PEM).Subsequently,a series of parametric analyses are preformed to compare the optimal outrigger locations and top displacement variances between the outrigger-ATMD system and the pure outrigger system.It can be concluded on the basis of the parametric analyses:ATMD can help the conventional outrigger system obviously reduce the displacement response,while it fails in two types of damped outrigger systems and even it can amplify the displacement response;under the earthquake the outrigger-ATMD systems trigger smaller optimal outrigger locations compared with those pure outrigger systems.