基于改进Prony理论的结构非缩放位移柔度识别  

Structural Un-scaled Displacement Flexibility Identification Based on Improved Prony Theory

作　　者：徐飞 张立平 刘新宇 周立明 王志伟 郑贺民 XU Fei;ZHANG Li-ping;LIU Xin-yu;ZHOU Li-ming;WANG Zhi-wei;ZHENG He-min(School of Safety Engineering and Emergency Management,Shijiazhuang Tiedao University,Shijiazhuang 050043,Hebei,China;School of Civil Engineering,Shijiazhuang Tiedao University,Shijiazhuang 050043,Hebei,China;Railway Engineering Research Institute,China Academy of Railway Sciences Co.Ltd.,Beijing 100081,China;China Railway Design Group Co.Ltd.,Tianjin 300308,China)

机构地区：[1]石家庄铁道大学安全工程与应急管理学院,河北石家庄050043 [2]石家庄铁道大学土木工程学院,河北石家庄050043 [3]中国铁道科学研究院集团有限公司铁道建筑研究所,北京100081 [4]中国铁路设计集团,天津300308

出　　处：《中国公路学报》2024年第9期147-156,共10页China Journal of Highway and Transport

基　　金：中国国家铁路集团有限公司科技研究开发计划项目(N2022G033,K2021G025);国家自然科学基金项目(52078311);河北省自然科学基金项目(E2021210055,E2023210113,E2021210099);河北省教育厅重点研发项目(ZD2022073);国能朔黄铁路发展有限责任公司技术开发项目(GJNY-20-230);中国铁路设计集团A类重点课题(2021A230101)。

摘　　要：为了准确估算结构模态参数和柔度系数,开发了一种基于环境振动测试的结构非缩放位移柔度识别方法。该方法在时域内对结构的环境振动响应进行分析,并通过奇异值分解来解析结构的位移振型;利用位移振型的正交性,对脉冲响应函数矩阵进行左乘加权和右乘加权运算,构建出结构的增强脉冲响应函数;该方法可以将多自由度多模态的振动信号解耦为单维度单模态的振动信号,基于此特性提出目标秩回归的Prony方法,用来识别结构的基本模态参数(频率、阻尼比)和模态缩放系数,并进一步估算结构的非缩放位移柔度系数矩阵。数值模拟结果表明:增强脉冲响应函数只含有单阶模态振动信息,并能从中识别结构的模态参数和非缩放位移柔度系数矩阵。其工程意义在于,可以预测结构在任意静力荷载作用下的变形形状,能够用于结构的健康监测和安全评估。In order to accurately estimate structural modal parameters and flexibility coefficients,a structure non-scaled displacement flexibility identification method based on ambient vibration testing is developed,which is a time domain method by using the output-only data.Firstly,the displacement mode shapes of the structure are analyzed through singular value decomposition,and the enhanced impulse response function matrix is constructed by left-multiplying weighting and right-multiplying weighting by using the orthogonality of the mode shapes,which decouples the multi-DOF multi-modal vibration signal into a single-dimension single-modal vibration signal.Secondly,the Prony's method is improved by target rank regression to identify structural modal parameters(frequency and damping ratio)and estimate the un-scaled flexibility.Numerical simulation results show that the enhanced displacement impulse response function only contains single-order modal vibration information,and the modal parameters and the un-scaled displacement flexibility coefficient matrix of the structure can be identified accurately.The engineering significance is that it can predict the deformation shape of the structure under any static load,and can be used in the field of structural health monitoring and safety assessment.

关 键 词：桥梁工程 非缩放位移柔度 Prony理论 环境振动 增强脉冲响应函数 

分 类 号：U446[建筑科学—桥梁与隧道工程]