Damage detection method for shear buildings using the changes in the first mode shape slopes

In this paper, an effective damage detection method for shear buildings is developed using the change(s) in the first mode shape slopes (CFMSS). First, sensitivity analysis of modal parameters and their derivatives is carried out. Next, the hypothesis that the CFMSS value of the damaged storey of a shear building is greater than zero in single damage situations is proved. Then, an iterative algorithm for damage localization is developed. Finally, the magnitudes of damages are quantified using the modified CFMSS values. The validity of the method is demonstrated using an eight-storey numerical example and a three-storey experimental model.