一种控制高层结构随机地震反应的新策略

New strategy for controlling random seismic response of high-rise structure

以某高层剪切型钢框架结构为工程背景,提出TMD与LRB联合作用的T-L控制策略,利用非线性随机振动理论分别对无控制、TMD控制和T-L控制3种控制结构的非线性运动方程进行等效线性化处理,利用复模态理论给出以第一振型表示的3种控制结构随机地震反应解析解的计算方法。研究结果表明:新提出的T-L控制策略比TMD控制更能显著降低结构位移、速度和加速度反应方差;新算法同样可用于求解LRB层间隔震高层结构随机地震反应。算例在T-L控制下的最大位移、速度和加速度反应方差比TMD控制下的分别降低了29.3%、27.8%和31.6%。

Taking a high-rise shearing steel frame structure as engineering background, a new T-L control strategy combiningthe action of TMD and LRB was proposed. The nonlinear motion equations of three control structures, which included non-control, TMD control and T-L control, were equivalently linearized by nonlinear random vibration theory, respectively. Thealgorithm was given for obtaining the analytical solutions expressed in the first order vibration model of random seismic re-sponse for three control structures using complex mode theory, respectively. The results indicate that the T-L control strategycan more significantly reduce the displacement, velocity and acceleration response variance of high-rise structure than TMDcontrol. The new algorithm can also be used to solve the random seismic responses of the high-rise structure with LRB storey-isolation. The peak displacement, velocity and acceleration response variance of the example are decreased by 29.3%,27.8% and 31.6% in T-L control compared with TMD control, respectively.