基于递归本征正交分解与强跟踪扩展卡尔曼滤波的结构损伤识别  

Structural damage identification based on recursive proper orthogonal decomposition and strong tracking extended Kalman filtering

作　　者：杨少冲[1,2] 姚远 刘家亮 雷振 方有亮[1,2] YANG Shaochong;YAO Yuan;LIU Jialiang;LEI Zhen;FANG Youliang(College of Civil Engineering and Architecture,Hebei University,Baoding 071002,China;Technology Innovation Center for Testing and Evaluation in Civil Engineering of Hebei Province,Baoding 071002,China)

机构地区：[1]河北大学建筑工程学院,河北保定071002 [2]河北省土木工程监测与评估技术创新中心,河北保定071002

出　　处：《振动工程学报》2025年第1期117-125,共9页Journal of Vibration Engineering

基　　金：国家自然科学基金资助项目(12172117)。

摘　　要：针对目前已有损伤识别方法难以实时跟踪结构损伤且计算量大的问题,提出了一种基于递归本征正交分解(recursive proper orthogonal decomposition,RPOD)与强跟踪扩展卡尔曼滤波(strong tracking extended Kalman filter,STEKF)相结合的模型降阶与结构损伤在线识别方法,对动载荷作用下的结构损伤识别进行了研究。利用RPOD方法在线更新并实时建立反映结构状态的降阶模型,解决未知载荷作用下多自由度结构动力分析计算量大且难以收敛的问题,同时跟踪损伤的演化并对其进行定位;通过STEKF方法跟踪降阶模型的状态向量,识别因损伤而退化的降阶模型参数。分别采用六层剪切型框架的数值模拟与三层钢框架的模型试验验证了该方法的可行性,结果表明,所提出的方法能够准确建立降阶模型并跟踪降阶模型参数的时变历程,同时可以有效地识别出剪切型建筑结构损伤的位置和程度,即使在处理高程度噪声时仍有较高的精度。Aiming at the problem that the existing damage identification methods are difficult to track the structural damage in real time and require a large amount of calculation,a model order reduction and online damage identification method based on the combination of recursive proper orthogonal decomposition(RPOD)and strong tracking extended Kalman filter(STEKF)is proposed.The structural damage identification under dynamic load is studied.The RPOD method is used to update online and construct the reduced-order model reflecting the structure state in real time,which solves the problem of large calculation and difficult convergence of dynamic analysis of multi-degree of freedom structures under unknown loads.Meanwhile,the evolution of damage is tracked and located.The STEKF method is used to track the state vector of the reduced-order model and identify the reduced-order model parameters degraded by damage.The feasibility of the proposed method is verified by numerical simulation of a six-story shear frame and model test of a three-story steel frame.The results show that the proposed method can accurately construct the reduced-order model and track the time-varying history of the reduced-order model parameters.Meanwhile,it can effectively identify the location and extent of the damage of the shear building structure,even when dealing with high levels of noise,it retains high accuracy.

关 键 词：损伤识别 模型降阶 递归本征正交分解 强跟踪扩展卡尔曼滤波 数据驱动 

分 类 号：TU3111.3[建筑科学—结构工程] TB122[理学—工程力学]