This paper presents a new finite element model updating method for estimating structural parameters and detecting structural damage location and severity based on the structural responses (output-only data). The method uses the sensitivity relation of transmissibility data through a least-squares algorithm and appropriate normalization of the extracted equations. The proposed transmissibility-based sensitivity equation produces a more significant number of equations than the sensitivity equations based on the frequency response function (FRF), which can estimate the structural parameters with higher accuracy. The abilities of the proposed method are assessed by using numerical data of a two-story two-bay frame model and a plate structure model. In evaluating different damage cases, the number, location, and stiffness reduction of the damaged elements and the severity of the simulated damage have been accurately identified. The reliability and stability of the presented method against measurement and modeling errors are examined using error-contaminated data. The parameter estimation results prove the method’s capabilities as an accurate model updating algorithm.

本文提出了一种新的有限元模型更新方法，用于根据结构响应（仅输出数据）估计结构参数并检测结构损坏位置和严重程度。该方法通过最小二乘算法和提取方程的适当归一化来使用传输率数据的敏感性关系。所提出的基于传递率的灵敏度方程比基于频率响应函数（FRF）的灵敏度方程产生更多的方程，可以更准确地估计结构参数。通过使用两层两间框架模型和板结构模型的数值数据来评估所提出方法的能力。在评估不同的损坏情况时，可以准确识别损坏单元的数量、位置和刚度降低以及模拟损坏的严重程度。使用误差污染的数据来检查所提出的方法针对测量和建模误差的可靠性和稳定性。参数估计结果证明了该方法作为精确模型更新算法的能力。