基于一阶模态控制的惯质吸振器抗风设计  

Wind resistant design of structure using IVAs based on first order modal control

作　　者：乔浩帅 黄鹏[1] QIAO Haoshuai;HUANG Peng(State Key Lab of Disaster Reduction in Civil Engineering,Tongji University,Shanghai 200092,China)

机构地区：[1]同济大学土木工程防灾国家重点实验室,上海200092

出　　处：《振动与冲击》2023年第15期65-72,共8页Journal of Vibration and Shock

摘　　要：设置动力吸振器是结构风振控制的常用方法之一。采用Sherman-Morrison逆运算推导了多自由度结构在新型惯质吸振器控制下的显式频响函数,给出了由于吸振器安装导致的模态耦合效应的物理描述。以利用调谐惯容阻尼器(tuned inerter damper, TID)进行结构抗风设计为例,基于不动点法提出了以一阶模态控制为目标的半解析半数值参数设计方法。基于某高层建筑实例,分析了模态耦合对惯质吸振器参数设计及减振效果评估的影响,验证了所提方法相较于未考虑模态耦合效应的方法在参数设计上的优越性。结果表明,随着惯容量的增大和拓扑层数的增加,惯质吸振器的减振效果越来越好,但模态耦合效应也越明显,需要在参数设计和性能评估中予以考虑。Setting dynamic vibration absorbers is one of commonly used methods for structural wind vibration control.Here,explicit frequency response function of a multi-DOF structure under control of novel inerter-based vibration absorbers(IVAs)was derived using Sherman-Morrison inverse operation,and physical description of modal coupling effect caused by installing IVAs was given.Taking wind resistance design of structure using tuned inerter damper(TID)as an example,a semi-analytical and semi-numerical parametric design method based on the fixed-point method was proposed with the objective of first order modal control.Based on a certain high-rise building example,effects of modal coupling on parametric design and vibration reduction effect evaluation of IVAs were analyzed,and the superiority of the proposed method in parametric design compared to the method without considering modal coupling effect was verified.The results showed that with increase in inerter capacity and topology layers,vibration reduction effect of IVAs is better,but modal coupling effect is also more obvious,the latter needs to be considered in parametric design and performance evaluation.

关 键 词：惯质吸振器 高层建筑 风振控制 模态耦合 

分 类 号：TU352.2[建筑科学—结构工程]