Abstract
The article presents an effective method for damage assessment of 2D frame structures using incomplete modal data by optimization procedure and model reduction technique. In this proposed method, the structural damage detection problem is defined as an optimization problem, in which a hybrid objective function and the damage severity of all elements are considered as the objective function and the continuous design variables, respectively. The teaching-learning-based optimization (TLBO) algorithm is applied as a powerful optimization tool to solve the problem. In addition, owing to the use of incomplete measurements, an improved reduction system (IRS) technique is adopted to reduce the mass and stiffness matrices of structural finite element model. The efficiency and robustness of the proposed method are validated with a 4-storey (3 bay) steel plane frame involving several damage scenarios without and with measurement noise. The obtained results clearly demonstrate that even the incompleteness and noisy environment of measured modal data, the present method can work properly in locating and estimating damage of the frame structure by utilizing only the first five incomplete modes' data. This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Highlights
During the long service period, the safety and functionality of structural systems in mechanical, civil and aerospace engineering may be severely aected by degradation and damage due to environmental conditions and unforeseen circumstances
vibration-based damage identication (VBDI) problem can be regarded as an optimization problem, where the objective function is usually expressed by the discrepancies between the analytical data and measured data and the damage severity of elements is taken as design variables
The results show that in both case study, the assumed damages in the frame structure are localized properly by these two algorithms for both damage cases, element c 2017 Journal of Advanced Engineering and Computation (JAEC)
Summary
During the long service period, the safety and functionality of structural systems in mechanical, civil and aerospace engineering may be severely aected by degradation and damage due to environmental conditions and unforeseen circumstances. An eective method based on a combination of optimization procedure and model reduction technique is proposed for structural damage detection using incomplete measurements In this proposed method, the damage identication problem is dened as an optimization problem, where a hybrid objective function and the damage extent of elements are considered as the objective function and the continuous design variables, respectively. The structural fault diagnosis problem may be viewed as an optimization problem solved by an optimization technique In this approach, damage identication process is commonly performed by minimizing an objective function in which the damage ratios of the elements can be considered as design variables. The procedure of both the two operators is run until the stopping criterion is reached
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