Structural damage identi cation based on incomplete static responses as an optimization problem

Damage detection and estimation in structures using incomplete static responses are presented in this study. In the proposed approach, damage location and severity is determined by solving an optimization problem using a pattern search algorithm. Therefore, an objective function is formulated using incomplete static responses. Because of limitations in using sensors and diculties in sensing all degrees of freedom, the eect of using incomplete responses has been evaluated. The performance of the proposed method was evaluated using three numerical examples, namely, a simply supported beam, a threestory plane frame, and a plane bridge with and without noise in measured displacement and containing one or several damages. The results indicate that the proposed method is eective and robust in the detection and estimation of damage in spite of the incomplete responses.