Damage identification in framed structures using natural frequencies

A novel procedure for damage identiÞcation of framed structures is proposed, where both the location and the extent of structural damage in framed structures can be correctly determined using only a limited number of measured natural frequencies. No knowledge of the modal shapes of the damaged structure is required. On the basis of the characteristic equations for the original and the damaged structure, a set of equations is generated. Two computational techniques, the direct iteration (DI) technique and the GaussÐNewton least-squares (GNLS) technique, are utilized to determine structural damage from the derived equations. Finally, di¤erent numerical examples are used to demonstrate the e¤ectiveness of the proposed method