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该文提出一种适用于大型结构在激励与响应部分观测情况下进行结构损伤诊断的方法。基于有限元模型,大型结构被划分成若干个子结构。相邻子结构间的作用,视为对子结构的“附加未知激励”。依次采用扩展卡尔曼估计和最小二乘估计识别扩展状态向量和未知外部激励,在子结构界面响应未观测的情况下,对各子结构的单元动力参数分别进行识别,并以追踪子结构内单元结构参数的变化,例如单元刚度的退化,对大型结构的局部损伤进行诊断。通过一个较大型的平面桁架桥的损伤识别数值算例,证实了该方法的可行性。与其他方法相比,提出的方法减少了对结构响应观测的要求。
This paper presents a method that is suitable for the structural damage diagnosis of large structures under the excitation and response observation. Based on the finite element model, the large structure is divided into several sub-structures. The role of adjacent substructures, as the substructure “additional unknown incentives ”. The extended state vectors and unknown external stimuli are identified by Extended Kalman Estimation and Least Squares Estimation in turn, respectively. When the sub-structure interface response is unobserved, the unit dynamic parameters of each sub-structure are respectively identified, Changes in structural parameters, such as the degradation of element stiffness, diagnose local damage to large structures. A numerical example of the damage identification of a large planar truss bridge confirms the feasibility of this method. Compared with other methods, the proposed method reduces the requirement of structural response observation.