基于NSGA-Ⅱ的在役状态TMD和结构固有参数识别方法研究  

Identification method of in-service TMD and structural inherent parameters based on NSGA-Ⅱ

作　　者：赵文韬 温青[1] 孙洪鑫[1] 王修勇[1] 华旭刚[2] ZHAO Wentao;WEN Qing;SUN Hongxin;WANG Xiuyong;HUA Xugang(Hunan Provincial Key Laboratory of Structures for Wind Resistance and Vibration Control,Hunan University of Science and Technology,Xiangtan 411201,China;Key Laboratory for Wind and Bridge Engineering of Hunan Province,Hunan University,Changsha 410082,China)

机构地区：[1]湖南科技大学结构抗风与振动控制湖南省重点实验室,湖南湘潭411201 [2]湖南大学风工程与桥梁工程湖南省重点实验室,湖南长沙410082

出　　处：《振动工程学报》2025年第3期507-516,共10页Journal of Vibration Engineering

基　　金：国家自然科学基金资助项目(51708208);湖南省自然科学基金资助项目(2021JJ10003,2021JJ40208);陕西省自然科学基础研究计划资助项目(2021JM-606)。

摘　　要：调谐质量阻尼器(tuned mass damper,TMD)的减振效率与结构和TMD的固有参数相关,准确从结构-TMD耦合系统响应中识别结构和TMD固有参数是对在役TMD减振性能评价的必要条件。提出了一种基于NSGA-Ⅱ(非支配排序遗传算法,nondominated sorting genetic algorithm)的参数识别方法,从结构-TMD耦合运动响应中识别“裸结构”和“裸TMD”的固有参数,进而实现对在役状态TMD的减振性能评估。该方法构建了结构-TMD耦合运动方程,并将其减缩和转化为结构被控模态和TMD耦合的两自由度系统,借助系统状态空间矩阵搭建两个目标函数,通过遗传算法寻找理论值与试验值的最小误差所对应的最优解,从而识别结构和TMD的固有参数。开展了单自由度结构-TMD耦合系统和多自由度结构-TMD耦合系统参数识别数值仿真分析,结果表明:提出的方法可以从耦合系统动力响应中准确识别结构和TMD的固有参数。The vibration reduction efficiency of a tuned mass damper(TMD)is closely related to the inherent parameters of the structure and TMD.Accurate identification of the structure and TMD inherent parameters from the response of the structure-TMD coupling system is necessary for the evaluation of the vibration reduction performance of in-service TMD.This paper offers a parameter identification approach based on NSGA-Ⅱ(Nondominated sorting genetic algorithm)that can identify the parameters of‘bare structure’and‘bare TMD’from the coupled structure-TMD response in order to solve the issue of state evaluation of TMDs in service.The structure-TMD coupling equation is constructed.It is reduced and transformed into a two-degree-of-freedom system of the structure-controlled mode and TMD coupling.Two objective functions are constructed by means of the system state space matrix.The genetic algorithm is used to find the optimal solution corresponding to the minimum error between the theoretical value and the experimental value,so as to identify the modal parameters of the structure and TMD.The numerical simulation analysis of parameter identification of single-degree-of-freedom structure-TMD coupling system and multi-degree-of-freedom structure-TMD coupling system is carried out.The results show that the proposed method can accurately identify the inherent parameters of structure and TMD from the dynamic system response of the coupling system.

关 键 词：参数识别 结构-TMD耦合系统 NSGA-Ⅱ 

分 类 号：TU311.3[建筑科学—结构工程] TU352.1