In this paper, a new sensitivity‐based model updating method is presented based on the changes of principal components (PCs) of frequency response function (FRF). Structural damage estimation, identification of damage location and severity, is conducted by an innovative sensitivity relation. The sensitivity relation is derived by incorporating PC analysis (PCA) data obtained from the incomplete measured structural responses in a mathematical formulation and is then solved by the least square method. In order to demonstrate the performance of the proposed method, it is applied to a truss and a frame model. The results prove the ability of the method as a robust damage detection algorithm in the presence of measurement and mass modeling errors. The comparative studies prove that the results obtained by the proposed sensitivity relation are more accurate than the results based on using FRF data directly.

中文翻译：

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使用频率响应函数数据的主成分分析进行结构损伤检测

本文基于频率响应函数（FRF）主成分（PC）的变化，提出了一种新的基于灵敏度的模型更新方法。结构损伤的估计，损伤位置和严重性的识别是通过创新的灵敏度关系进行的。通过将从不完整的测量结构响应获得的PC分析（PCA）数据合并为数学公式，可以得出灵敏度关系，然后通过最小二乘法求解。为了证明所提方法的性能，将其应用于桁架和框架模型。结果证明了该方法在存在测量误差和质量建模误差的情况下作为鲁棒性损伤检测算法的能力。