Isfahan University of Technology Journal of Computational Methods in Engineering 2228-7698 34 1 2022 12 31 Damage Identification in Shear Frames via Grey Relation Theory and Static Displacement Estimated by Limited Modal Data Damage Identification in Shear Frames via Grey Relation Theory and Static Displacement Estimated by Limited Modal Data 139 154 3131 10.18869/acadpub.jcme.34.1.139 FA G. Ghodrati Amir A. Zare Hosseinzadeh Journal Article 2022 12 31 In this paper, a new vibration-based damage detection method for damage localization in shear frames is presented. For this purpose, a new damage index is proposed by means of static displacements estimated using only the first several mode data and Grey Relation Theory. The efficiency of the presented method has been demonstrated through studying several damage scenarios on three examples of shear frames with a different number of stories. The effects of various situations such as the existence random noises in the recorded data, number of available modes, different damage scenarios and irregularity in the structural characteristics have been studied on the applicability of the presented method. The obtained results show the robustness and good performance of the presented method in the damage diagnosis of shear frames. Some of the most important advantages of the suggested method can be summarized as its ability in damage localization by means of only the first mode data, low sensitivity to the random noises, and high speed and accuracy in estimating damage locations. In this paper, a new vibration-based damage detection method for damage localization in shear frames is presented. For this purpose, a new damage index is proposed by means of static displacements estimated using only the first several mode data and Grey Relation Theory. The efficiency of the presented method has been demonstrated through studying several damage scenarios on three examples of shear frames with a different number of stories. The effects of various situations such as the existence random noises in the recorded data, number of available modes, different damage scenarios and irregularity in the structural characteristics have been studied on the applicability of the presented method. The obtained results show the robustness and good performance of the presented method in the damage diagnosis of shear frames. Some of the most important advantages of the suggested method can be summarized as its ability in damage localization by means of only the first mode data, low sensitivity to the random noises, and high speed and accuracy in estimating damage locations. https://jcme.iut.ac.ir/article_3131_54fda78aa8a09b4d77b5aaec57b75028.pdf