Abstract: We used least square QRfactorization (LSQR) method to study the problem of structural damage identification. Firstly, we proposed a damage location method. Secondly, the damage identification problem based on the generalized modal flexibility matrix was transformed into a least squares problem. Finally, the LSQR method was used to progressively determine the location and extent of damage. The effectiveness of the proposed method was verified by two examples.

Key words:  , generalized modal flexibility matrix, damage identification, LSQR method