周期激励下基于延迟传递率函数的结构模态识别方法  

Structural modal parameter identification method based on delayed transmissibility function under periodic excitations

作　　者：许焱鑫[1,2,3,4] 郑东健 赵二峰[1,2,3] 邵晨飞[1,2,3,4] 郑森[1,2,3] XU Yanxin;ZHENG Dongjian;ZHAO Erfeng;SHAO Chenfei;ZHENG Sen(The National Key Laboratory of Water Disaster Prevention,Hohai University,Nanjing 210024,China;College of Water Conservancy and Hydropower Engineering,Hohai University,Nanjing 210024,China;National Engineering Research Center of Water Resources Efficient Utilization and Engineering Safety,Hohai University,Nanjing 210024,China;College of Civil and Transportation Engineering,Hohai University,Nanjing 210024,China)

机构地区：[1]河海大学水灾害防御全国重点实验室,江苏南京210024 [2]河海大学水利水电学院,江苏南京210024 [3]河海大学水资源高效利用与工程安全国家工程研究中心,江苏南京210024 [4]河海大学土木与交通学院,江苏南京210024

出　　处：《地震工程与工程振动》2023年第5期138-148,共11页Earthquake Engineering and Engineering Dynamics

基　　金：博士后科研启动经费(2016/423252);中央高校基本科研业务费项目(B220201042,B210202017);国家自然科学基金项目(52179128,U2243223,52079046);中国博士后基金项目(2021M701044);江苏省青年人才托举工程(TJ-2022-076);国家大坝中心开放基金项目(CX2020B02)。

摘　　要：针对传递率函数运行模态分析方法易受环境激励中周期性分量影响,难以准确辨识结构真实模态参数的问题,推导了周期性激励对传递率函数模态参数识别的影响。在此基础上,提出了一种延迟传递率函数的构造方法,运用延迟传递率函数对周期性虚假极点进行辨识,并结合常规传递率函数识别的系统极点,实现了结构真实模态参数的有效识别。借助四自由度系统和某泵站厂房结构算例对所提出的方法进行了验证,结果表明,该方法在激励中包含周期性成分的情况下,能够准确地辨识结构模态参数,具有较为广阔的工程应用前景。To address the problem that the operational modal analysis method of the transmissibility function is susceptible to the influence of the periodic component in the environmental excitation,which makes it difficult to accurately identify the real modal parameters of the structure,the influence of the periodic excitation on the identification of the modal parameters of the transmissibility function was deduced.On this basis,a construction method of delayed transmissibility function was proposed,and the periodic spurious poles were identified by using the delayed transmissibility function,and the system poles identified by the traditional transmissibility function were combined to realize the effective identification of the real modal parameters of the structure.The proposed method was validated by the calculation examples of a 4-DOF system and a pumping station workshop structure,and the results show that the method accurately identify the structural modal parameters when the excitation contains periodic components,which has a broader engineering application prospect.

关 键 词：周期性激励 延迟传递率函数 虚假模态辨识 模态参数识别 结构动力响应 

分 类 号：TU4[建筑科学—土工工程]