Document Type : Original Article
Authors
1
Ph.D.Student, Department of Civil Engineering, urmia Branch, Islamic Azad University, urmia, Iran.
2
Assistant Professor, Department of Civil Engineering, Urmia Branch, Islamic Azad University, Urmia, Iran.
3
Associate Professor, Department of Civil Engineering, Azarbaijan Shahid Madani University, Tabriz, Iran.
4
Associate Professor,Department of Civil Engineering, Urmia Branch, Islamic Azad University, Urmia, Iran.
10.22091/cer.2025.11502.1584
Abstract
Currently, detecting structural failures is considered a highly vital and essential method in all branches of engineering. This method assists in improving the quality of life and safety by providing the necessary conditions to increase the useful life of structures and prevent the spread of damage. One of the efficient and widely used methods for detecting failures is to utilize their effects on the dynamic or static responses of structures. This method can serve as a key indicator for detecting and analyzing failures and vulnerable points in structures. In this article, a model updating approach has been employed to detect and determine possible damaged locations in structures. Additionally, a new objective function has been proposed to evaluate the extent of damage based on the combination of residual modal forces and natural frequencies. This objective function, using equilibrium algorithms, differential evolution, cluster analysis, and ant colony optimization, determines the location and severity of existing damages. To assess the accuracy and validity of the presented theory, two numerical examples have been conducted, involving two three-dimensional footings with 25 and 72 elements. These examples cover dual and quadruple damage scenarios in the elements, demonstrating that this theory is capable of accurately detecting the locations and severity of damages in the presence of noisy data and effectively contributing to the correction and improvement of the quality and safety of structures.
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