A novel sensitivity-based finite element model updating and damage detection using time domain response

This paper presents an innovative explicit sensitivity equation for structural parameters estimation using the time domain data. The proposed exact sensitivity equation provides a linear relation between the time history response and variation of structural parameters. In order to achieve an accurate sensitivity equation, the incomplete measured responses of the damaged structure are incorporated into the mathematical formulation. The accuracy of the method is numerically examined in several damage scenarios. The crucial issues such as the weighting of the equation, measurement, and modeling errors are investigated. The proposed method is used to identify structural parameters subjected to impact and single harmonic excitation loads. The parameter estimation results show the robustness and accuracy of the proposed method. Moreover, the advantages of the proposed method are explained than the derivation-based method and the Direct Differentiation Method (DDM).