Regularization Strategies for Contiguous and Noncontiguous Damage Detection of Structures

2020 ◽  
pp. 2140001
Author(s):  
Ziwei Luo ◽  
Ling Yu
Keyword(s):  
Numerical Simulation ◽  
Particle Swarm Optimization ◽  
Damage Detection ◽  
Comparative Studies ◽  
Structural Damage ◽  
Simulation Models ◽  
Objective Functions ◽  
Structural Damage Detection ◽  
Swarm Optimization ◽  
Sparsest Solutions

Regularization strategies have attracted attention in the structural damage detection (SDD) field. However, there is lack of studies on regularization strategies for damage patterns in the existing methods. This paper proposes regularization strategies for contiguous and noncontiguous damages of structures and performs comparative studies. The objective functions are first defined to consider effects of strategies on SDD by adding distinct norm penalties, and then are solved by the particle swarm optimization (PSO). Three numerical simulation models are employed to assess the applicability of three strategies. The results show that the [Formula: see text] norm regularization is suitable for detecting multiple damages, the [Formula: see text] norm regularization performs well in contiguous damages, and the sparsest solutions can be obtained by the [Formula: see text] norm regularization.

scholarly journals An Investigation of Particle Swarm Optimization Topologies in Structural Damage Detection

2021 ◽  
Vol 11 (11) ◽  
pp. 5144
Author(s):  
Xiao-Lin Li ◽  
Roger Serra ◽  
Julien Olivier
Keyword(s):  
Particle Swarm Optimization ◽  
Damage Detection ◽  
Structural Damage ◽  
Heuristic Algorithms ◽  
Particle Swarm ◽  
Pso Algorithm ◽  
Structural Damage Detection ◽  
Engineering Structures ◽  
Swarm Optimization ◽  
Global Topology

In the past few decades, vibration-based structural damage detection (SDD) has attracted widespread attention. Using the response data of engineering structures, the researchers have developed many methods for damage localization and quantification. Adopting meta-heuristic algorithms, in which particle swarm optimization (PSO) is the most widely used, is a popular approach. Various PSO variants have also been proposed for improving its performance in SDD, and they are generally based on the Global topology. However, in addition to the Global topology, other topologies are also developed in the related literature to enhance the performance of the PSO algorithm. The effects of PSO topologies depend significantly on the studied problems. Therefore, in this article, we conduct a performance investigation of eight PSO topologies in SDD. The success rate and mean iterations that are obtained from the numerical simulations are considered as the evaluation indexes. Furthermore, the average rank and Bonferroni-Dunn’s test are further utilized to perform the statistic analysis. From these analysis results, the Four Clusters are shown to be the more favorable PSO topologies in SDD.

Structural Damage Detection Depending on Curvature Matrix of Change in Flexibility

2011 ◽  
Vol 255-260 ◽  
pp. 389-393
Author(s):  
Yong Mei Li ◽  
Bin Zhou ◽  
Xi Yuan Zhou ◽  
Guo Fu Sun ◽  
Bo Yan Yang
Keyword(s):  
Numerical Simulation ◽  
Damage Detection ◽  
Cantilever Beam ◽  
Lower Order ◽  
Structural Damage ◽  
Structural Damage Detection ◽  
Principal Diagonal ◽  
Simply Supported ◽  
Damage Location ◽  
Difference Calculation

Flexibility is more sensitive to structural damage than frequency or mode. Curvature matrix of change in flexibility is presented as a new index of nondestructive damage detection, which is derived from change in structural flexibilities calculated from before damaging and after damaging by means of difference calculation twice, firstly to columns, and then to rows. Therefore a new indicator called as δ Flexibility Curvature Matrix Diagonal (δFCMD) is constructed from the principal diagonal elements based on curvature matrix of change in flexibility. The numerical simulation examples indicate that the damage location and severity in structures, with single damage, multiple ones, slight ones and ones at the supports, can be detected efficiently for a cantilever beam, a fixed supported beam, a simply supported beams and so on by the indicator of δFCMD depending on only a few of lower order modes.

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