Abstract
A two-stage method is proposed to properly identify the location and the extent of damage in shear frames. In the first stage, a story displacement index (SDI) is presented to precisely locate the damage in the shear frame which is calculated using the modal analysis information of the damaged structure. In the second stage, by defining a new objective function, the extent of the actual damage is determined via an imperialist competitive algorithm. The performance of the proposed method is demonstrated by implementing the technique to three examples containing five-, ten-, and twenty-five-story shear frames with noises and without them in modal data. Moreover, the performance of the proposed method has been verified through using a benchmark problem. Numerical results show the high efficiency of the proposed method for accurately identifying the location and the extent of structural damage in shear frames.
Highlights
Damage detection is one of the branches of structural health monitoring (SHM) which has recently attracted many scientific efforts
The performance of the proposed method has been verified through using a benchmark problem provided by the IASC-ASCE Task Group on structural health monitoring and a number of numerical examples
By defining a new objective function using orthogonal conditions in mode shapes, the extent of the actual damage is determined via an imperialist competitive algorithm (ICA)
Summary
Damage detection is one of the branches of structural health monitoring (SHM) which has recently attracted many scientific efforts. In the rich literature of damage detection methods, the most important are the damage assessment methods based on observations of structural vibrations (Doebling et al [4], Sohn et al [5], and Salawu [6]). Ghodrati Amiri et al [21] described a damage detection method in shear frames by means of modal residual force and static deflections obtained by modal flexibility based on the diagonalization method. Bagheri et al [35] studied an optimization strategy for solving an inverse problem to estimate damage in different types of structures by defining a cost function based on modal data and a free vibration scheme of structures. The performance of the proposed method has been verified through using a benchmark problem provided by the IASC-ASCE Task Group on structural health monitoring and a number of numerical examples
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