考虑外部激励的高层建筑作动器优化布置研究  

Study on Optimal Placement of Actuators in High-rise Buildings Considering External Excitation

作　　者：朱耀阳 涂建维[1] 张家瑞[1] 李召 刘家利 ZHU Yao-yang;TU Jian-wei;ZHANG Jia-rui;LI Zhao;LIU Jia-li(Hubei Key Laboratory of Roadway Bridge and Structure Engineering,Wuhan University of Technology,Wuhan 430070,China)

机构地区：[1]武汉理工大学道路桥梁与结构工程湖北省重点实验室,武汉430070

出　　处：《武汉理工大学学报》2022年第2期60-65,共6页Journal of Wuhan University of Technology

基　　金：国家自然科学基金(51978550)。

摘　　要：针对可控能量准则未考虑外部激励的问题,以可控Grammian矩阵为研究对象,分析了外部激励对可控Grammian矩阵的影响程度,选取可控Grammian矩阵中受影响较大的模态进行优化控制,得到了一种针对特定模态的可控能量准则。以20层Benchmark模型为研究对象,对比了作动器均布、可控能量准则以及针对特定模态的可控能量准则布置下的结构振动响应。仿真结果表明:针对特定模态的作动器布置可以有效抑制结构的振动响应,该方法能够减少38.6%~68.5%的顶层振动响应,与传统的可控能量准则相比可以提高2.021%到12.71%的顶层控制效果,验证了优化准则的有效性,并为高层建筑的作动器布置提供了新的方法。Aiming at the problem that the controllable energy criterion does not consider the external excitation,the controllable Grammian matrix was taken as the research object,the influence degree of the external excitation on the controllable Grammian matrix was analyzed.A more affected modes in the controllable Grammian matrix for optimal control were selected,and a controllable energy criterion for specific modes was obtained.Taking the 20-story benchmark model as the research object,the structural vibration responses under the actuator uniform distribution,controllable energy criterion and controllable energy criterion arrangement for specific modes were compared.The simulation results show that the actuator positioning for specific modes can effectively suppress the structural vibration response,and this method can reduce the top-level vibration response by 38.6%~68.5%,Compared with the traditional controllable energy criterion,the toplevel control effect can be improved by 2.021%to 12.71%,which verifies the effectiveness of the optimization criterion and provides a new method for actuator layout of high-rise buildings.

关 键 词：主动控制 作动器布置 可控能量准则 20层Benchmark模型 

分 类 号：U441.4[建筑科学—桥梁与隧道工程]