This study investigates the use of vibrational response of structure known as modal parameters, for identification of damage in the civil and architectural buildings. The vibrational response is defined as modal parameters that contain of mode shape, natural frequency and modal damping. Damage is also described as adversely performance of vibrational response which is relevant to changes of physical properties of structures. The proposed approach is based on vibration-based method and sensitivity of natural frequency. The Damage estimation algorithms involve two processes. First, the multiple damage location coefficient (MDLC) which uses a sensitivity matrix of natural frequency modification. In this level, the damage location can be detected via difference between natural frequencies of healthy and damaged structures as well as the sensitivity of natural frequency based on damage parameters. Observing the level of correlation between the variations in the modal parameters for healthy and damaged structures enables damage localization. The sensitivity matrix, developed from finite element model, further accommodate multiple damage detection. Next, the least-squares method is used for damage quantification. For verification of proposed damage algorithms, a simple 6-story shear building as discrete dynamic structure is modelled. Then, a 15-bar planner truss is used. Eventually, the numerical results show that the proposed methods are accurate and reliable approaches for damage localization and quantification in the structures.

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