Structural damage identification method based on incomplete static ‎responses using 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 pattern search algorithm. Therefore, the objective function is formulated using incomplete static responses. Because of limitation in using sensors and difficulties in sensing all degree of freedoms, the effect of using incomplete responses has been evaluated. The performance of the proposed method is evaluated using three numerical examples, namely a simply supported beam, three-story plane frame and plane bridge with and without noise in measured displacement and containing one or several damages. The results indicatedthat proposed method is effective and robust in detection and estimation of damage in spite of the incomplete responses.