Evaluating the damage content of Karbandi using frequency domain analysis (Case Study: Timche Haj-Mohammad-Qoli of Tabriz Historic Bazaar)

Abstract

In this study, an alternate method to evaluate structural systems, especially those with historical importance has introduced by applying Fourier Transform (FT) to the damage ratio of time history outcome in the frequency domain. The concept of damage content (DC) regarding the mechanical characteristics of the used material, including plastic strain, failure plane, and ultimate load-bearing capacity, along with drift value, record selection criteria, and architectural aspects, have employed. Due to its valuable aesthetic and architectural view, Timche Haj-Mohammad-Qoli of Tabriz Historic Bazaar, one of the traditional covered spaces with the complicated configuration of spatial masonry intersecting arches, selected for further assessment in the current research program. The required experimental samples for obtaining the mechanical properties and relevant geometrical measurements to prepare the numerical model of the structure obtained. The strong ground motions according to seismological and geological characteristics of the construction site selected. The records with different durations were merged by Fourier Transform (FT) and Damage Content (DC) analysis. According to the outcomes, the damage state of the structure due to the imposed strong motion at every stage of the lateral loading from the failure initiation to the final collapse was traceable. As a straightforward outcome, the vulnerability of the near-field earthquakes is more tangible than that of the far-field earthquakes. The provided methodology could have proper use in future similar studies for evaluating the performance of the structures.