风荷载下伸臂桁架-ATMD组合系统最优伸臂桁架位置研究  

Optimal outrigger locations of outrigger−ATMD combined system under wind loads

作　　者：邢丽丽 周颖[3] 张鹏[1,2] XING Lili;ZHOU Ying;ZHANG Peng(Department of Civil Engineering,Qingdao University of Technology,Qingdao 266520,China;Engineering Research Center of Concrete Technology under Marine Environment,Ministry of Education,Qingdao 266520,China;State Key Laboratory of Disaster Reduction in Civil Engineering,Tongji University,Shanghai 200092,China)

机构地区：[1]青岛理工大学土木工程学院,山东青岛266520 [2]海洋环境混凝土技术教育部工程研究中心,山东青岛266520 [3]同济大学土木工程防灾国家重点实验室,上海200092

出　　处：《中南大学学报（自然科学版）》2024年第2期774-788,共15页Journal of Central South University:Science and Technology

基　　金：国家自然科学基金资助项目(52308508);山东省自然科学基金资助项目(ZR2023QE154);青岛市自然科学基金资助项目(23-2-1-98-zyyd-jch)。

摘　　要：基于虚拟激励法和最优控制理论,提出伸臂桁架-主动调谐质量阻尼器(ATMD)组合系统的风振最优控制模型。首先推导伸臂桁架主体结构与ATMD耦合后的控制运动微分方程组并基于虚拟激励法求解该方程组,发展新的伸臂桁架-ATMD组合系统数值简化模型。基于新提出的组合系统数值简化模型,应用固定点理论求解ATMD最优控制力,获得伸臂桁架-ATMD组合系统的最优控制力模型。将新提出的伸臂桁架-ATMD组合系统数值简化模型和最优控制力模型进行有效数值组合,构建该组合系统的整体最优控制模型。将本文提出的基于固定点理论的最优控制模型与基于线性二次规划方法的最优控制模型、被动最优控制模型和无控制模型进行对比分析。最后应用基于固定点理论的最优控制模型对伸臂桁架-ATMD组合系统的最优伸臂桁架位置进行单参数敏感性分析,研究最优伸臂桁架位置对不同结构影响因素的敏感性以及ATMD对不同类型伸臂桁架系统的抗风控制效果。研究结果表明:主体结构伸臂桁架系统类型不同,不同控制方案的作用效果不同,且主动控制方案对加速度响应的控制效果优于对位移响应的控制效果;与纯伸臂桁架系统相比,风荷载作用下主动调谐质量阻尼器对组合系统的最优伸臂桁架位置影响不大,且最优位置对伸臂桁架刚度、核心筒刚度和外柱与核心筒间距离都有非常高的敏感性;风荷载作用下主体结构中的阻尼会限制ATMD对结构响应控制作用的发挥。A wind-induced optimal control model for a combination system of an outrigger system and an active tuned mass damper(ATMD)based on the pseudo-excitation method and optimal control theory was proposed.Firstly,the governing differential equations of motion of the outrigger system and the ATMD after coupling were derived,and the combined differential equations of motion were solved based on the pseudo-excitation method to develop a new numerical simplified model for this combination system.Based on the new numerical simplified model of the combination system,the optimal control force of the ATMD was solved using fixed-point theory(FPT)to obtain the optimal control force model of the combination system.The numerical simplified model and the optimal control force model were effectively superimposed to construct the optimal control model of the combination system.The FPT-based optimal control model was then compared to the linear quadratic regulator method-based optimal control model,the passive optimal control model and the no control model.Based on the FPT-based optimal control model,a single-parameter sensitivity analysis was conducted for the optimal outrigger location in the outrigger-ATMD combination system.The analysis gave the sensitivity of the optimal outrigger location to different structural influencing factors and the wind control effect of the ATMD on different types of outrigger systems.The results show that the effects of different control schemes are varied with the types of outrigger systems,and the control of the acceleration response by the active control scheme is better than that of the displacement response;compared with the pure outrigger system,the ATMD has little effect on the optimal outrigger location of the combination system under wind loads,and the optimal location has a very high sensitivity to the outrigger stiffness,the core stiffness,and the distance between the column and the core;damping in the main structure may limit the ability of ATMD to control structural response under wind lo

关 键 词：伸臂桁架系统 主动调谐质量阻尼器 风荷载 固定点技术 最优伸臂桁架位置 

分 类 号：TU973.14[建筑科学—结构工程]