Expended Energy Based Seismic Damage Assessment Method for Reinforced Concrete Bare Frames
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Abstract
Many past response analyses of the structures under earthquake excitations revealed that
newlineboth, the maximum displacements and the number of large-amplitude displacement
newlineresponses, cause higher damage to the structures. In the present study, a new
newlinemethodology is proposed for seismic damage assessment of a reinforced concrete framed
newlinestructure, based on the non-linear energy dissipated by the structure, along the completed
newlinedisplacement path. Three methods are proposed to assess the global damage state of the
newlinestructure under study, for any deformation in. In the proposed methods, the damage index
newlineis expressed, at any instant of deformation, as the ratio of non-linear energy dissipated at
newlinean instant to the total non linear energy capacity of the structure.
newlineThe energy dissipation capacity of a structure is estimated by a non-linear pushover curve.
newlineThe area under the classic pushover curve, which is the plot of base shear versus roof
newlinedisplacement, lacks the consistent meaning to represent the work done by external forces.
newlineTo calculate the energy, a pushover curve is redefined as a plot of base shear versus
newlinedisplacement at C.G of external force profile, and the area under the curve represents the
newlineenergy dissipated by the structure, which is equal to the work done by external forces. To
newlinecalculate the structure energy dissipation capacity, the pushover curve is considered up to
newline4% of drift or 2/3 of its ultimate base shear.
newlineAs mentioned earlier, three methods are proposed to calculate the non-linear energy
newlinecapacity of a structure and are presented as three types of damage methods. Our results
newlineindicate that damage method 3 is more efficient in calculating the global damage state of
newlinethe structure, at any deformation. Many damage methods exist in the literature, based on
newlinedeformation where strength is not considered in estimating the damage. When a member
newlineis in non linear state, as deformation increases the strength caring capacity reduces. In the
newlinepresent study, damage methods are proposed on energy capacity of the structure, i