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Structural Damage Detection and Localization Using FRF-Based Model Updating Approach

机译：基于FRF的模型更新方法对结构损伤的检测与定位

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摘要

This paper discusses the use of a sensitivity-based model updating technique for detecting and locating damage of a structure. Based on global shape correlation (GSC) and global amplitude correlation (GAC) functions, a sensitivity-based updating problem is expressed as a set of linear equations where the coefficient matrix contains the partial derivatives of the correlation functions with respect to the chosen updating parameters. The damage location and severity are identified using a multiple-step procedure based on selecting sensitivity parameters. A simplified railway wheel finite element model with 240 3D solid elements was used for the numerical case study, the damage consisting of modified Young's modulus values for some selected elements. The reference FE model was updated using simulated response functions obtained from the 'damaged' model. A very good response match was obtained between the damaged model and the updated model and it was assumed that the difference between the initial reference model and the damaged model was indicative of the location and severity of the damage. Several configurations, such as different damage location and severity, were considered. A multi-step procedure was devised to detect the single and multiple damage locations as well as to assess the severity of the damage. The results indicate that the proposed sensitivity-based updating method using incomplete frequency response data can not only detect, but also estimate the amount of structural damage.
机译：本文讨论了基于灵敏度的模型更新技术在检测和定位结构损伤中的应用。基于全局形状相关（GSC）和全局幅度相关（GAC）函数，将基于灵敏度的更新问题表示为一组线性方程式，其中系数矩阵包含相关于所选更新参数的相关函数的偏导数。基于选择灵敏度参数的多步骤过程，可以确定损坏的位置和严重程度。数值案例研究使用了具有240个3D实体元素的简化的铁路车轮有限元模型，该损伤由某些选定元素的修改后的杨氏模量值组成。使用从“损坏”模型获得的模拟响应函数更新了参考有限元模型。在损坏的模型和更新的模型之间获得了很好的响应匹配，并假定初始参考模型和损坏的模型之间的差异指示了损坏的位置和严重性。考虑了几种配置，例如不同的损坏位置和严重程度。设计了一个多步骤程序来检测单个和多个损坏位置，并评估损坏的严重程度。结果表明，所提出的基于不完全频率响应数据的基于灵敏度的更新方法不仅可以检测，而且可以估计结构损伤的数量。

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