Structural Damage Identification Based on the Wavelet Transform and Improved Particle Swarm Optimization Algorithm

Guo, Jiqing; Guan, Deqing; Zhao, Jianwei

doi:10.1155/2020/8869810

Cited by 6 publications

(10 citation statements)

References 50 publications

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“…To measure strain, the curvature mode can be used for indirect measurement. According to the material mechanics, the bending static relation of the beam can be obtained as [ 15 ] where i is the section position of measuring point i , M i is the bending moment of section i , E i I i is the flexural rigidity of section i , d i is the radius of curvature at section i , and ρ i is the curvature of section i . According to the approximate equation of bending deformation of the beam [ 15 ], where x is the coordinate along the length direction of the straight beam and y is the bending deflection of the beam.…”

Section: Wavelet Based Data Coupling Methods (W-dcm)mentioning

confidence: 99%

“…According to the material mechanics, the bending static relation of the beam can be obtained as [ 15 ] where i is the section position of measuring point i , M i is the bending moment of section i , E i I i is the flexural rigidity of section i , d i is the radius of curvature at section i , and ρ i is the curvature of section i . According to the approximate equation of bending deformation of the beam [ 15 ], where x is the coordinate along the length direction of the straight beam and y is the bending deflection of the beam. According to Eqs ( 1 ) and ( 2 ), the difference equation of three equidistant continuous measuring points along the beam can be obtained [ 16 ]: where i +1, i , and i −1 are three adjacent continuous mea-suring points with equal distance along the beam, ρ i is the curvature of section i , y i is the bending deflection of section i , y i +1 and y i −1 are the bending deflections of section i −1 and section i +1 of the measuring points, respectively, and Δ is the distance of two adjacent measuring points.…”

Section: Wavelet Based Data Coupling Methods (W-dcm)mentioning

confidence: 99%

“…Once damage is detected, likelihood ratio tests are further performed to determine possible locations. Guo et al [ 15 , 16 ] uses wavelet transform and improved particle swarm optimization algorithm to identify the damage location and damage degree of the beam, and identify the non-uniform dam-age of the beam. Zhu et al [ 17 ] employed the 1D CWT to detect cracks in functionally graded beams and estimated the damage extent by calculating the Lipschitz regulation of wavelet coefficient.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

A wavelet based data coupling method for spatial damage detection in beam-type structures

Zhao,

Zhou,

Guan

et al. 2023

PLoS ONE

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Spatial damage identification is of great significance in mechanical, aerospace, and civil engineering. In this study, a data coupling method based on continuous wavelet transform (CWT) is proposed to identify the spatial damage location of beam-type structures. The singularity of the wavelet coefficient can be used to identify the signal singularity, and data coupling method calculates the spatial location of the damage. Numerical simulations and experimental analyses of different type of beams with transfixion damage are carried out to evaluate the accuracy of the method. The results show that the wavelet based data coupling method (W-DCM) can identify the minimum 4.9% damage severity of fixed beam and continuous beam, and can also identify the damage of non-free end of cantilever beam. However, the 9.7% damage severity of the free end of the cantilever beam cannot be identified. It is also found that the W-DCM can effectively circumvent the problem of wavelet coefficients edge effect. This method and wavelet singularity are used to provide a solution to the problem of structural edge damage identification.

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Section: Wavelet Based Data Coupling Methods (W-dcm)mentioning

confidence: 99%

Section: Wavelet Based Data Coupling Methods (W-dcm)mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

A wavelet based data coupling method for spatial damage detection in beam-type structures

Zhao,

Zhou,

Guan

et al. 2023

PLoS ONE

Self Cite

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“…e combination of wavelet analysis and IA can effectively synthesize the advantages of both so as to maximize the efficiency of structural damage identification. Compared with other IAs, PSO and GA are widely applied in structural damage identification [32][33][34][35][36][37]. In this study, the microdamage severity is defined to be within 10%.…”

Section: Introductionmentioning

confidence: 99%

Research on Damage Identification of Nonuniform Microcrack in Beam Structures

Guo

Guan

Pan

2021

Advances in Civil Engineering

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Nonuniform microcrack identification is of great significance in mechanical, aerospace, and civil engineering. In this study, the nonuniform crack is simplified as a semielliptical crack, and simplified calculation methods are proposed for damage severity and damage identification of semielliptical cracks. The proposed methods are based on the calculation method for uniform cracks. The wavelet transform and the intelligent algorithm (IA) are used to identify the damage location and the damage severity of the structure, respectively. The singularity of the wavelet coefficient can be used to identify the signal singularity quickly and accurately, and IA efficiently and accurately calculates the structural damage severity. The particle swarm optimization (PSO) algorithm and the genetic algorithm (GA), widely used, are applied to identify the damage severity of the beam. Numerical simulations and experimental analyses of beams with transfixion and semielliptical cracks are carried out to evaluate the accuracy of the semielliptical crack calculation method and the method of wavelet analysis combined with PSO and GA for nonuniform crack identification. The results show that the wavelet-particle swarm optimization (WPSO) and the wavelet-genetic algorithm (WGA) can accurately and efficiently identify the structural semielliptical damage location and severity and that these methods are not easily influenced by noise. The damage severity calculation method for semielliptical cracks can accurately calculate the semielliptical size and can be used to identify damage in beams with semielliptical cracks.

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“…Zhu et al [ 27 ] constructed a crack identification index based on WT to locate the opening crack position of Functionally Graded Materials (FGMs). Furthermore, Guo et al [ 28 ] reported that the detail coefficients of WT were highly sensitive to damage. They applied these coefficients to successfully detect the location and severity of structural damage.…”

Section: Introductionmentioning

confidence: 99%

Seismic Damage Identification Method for Curved Beam Bridges Based on Wavelet Packet Norm Entropy

Deng

Huang

Cao

et al. 2021

Sensors

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Curved beam bridges, whose line type is flexible and beautiful, are an indispensable bridge type in modern traffic engineering. Nevertheless, compared with linear bridges, curved beam bridges have more complex internal forces and deformation due to the curvature; therefore, this type of bridge is more likely to suffer damage in strong earthquakes. The occurrence of damage reduces the safety of bridges, and can even cause casualties and property loss. For this reason, it is of great significance to study the identification of seismic damage in curved beam bridges. However, there is currently little research on curved beam bridges. For this reason, this paper proposes a damage identification method based on wavelet packet norm entropy (WPNE) under seismic excitation. In this method, wavelet packet transform is adopted to highlight the damage singularity information, the norm entropy of wavelet coefficient is taken as a damage characteristic factor, and then the occurrence of damage is characterized by changes in the damage index. To verify the feasibility and effectiveness of this method, a finite element model of Curved Continuous Rigid-Frame Bridges (CCRFB) is established for the purposes of numerical simulation. The results show that the damage index based on WPNE can accurately identify the damage location and characterize the severity of damage; moreover, WPNE is more capable of performing damage location and providing early warning than the method based on wavelet packet energy. In addition, noise resistance analysis shows that WPNE is immune to noise interference to a certain extent. As long as a series of frequency bands with larger correlation coefficients are selected for WPNE calculation, independent noise reduction can be achieved.

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Structural Damage Identification Based on the Wavelet Transform and Improved Particle Swarm Optimization Algorithm

Cited by 6 publications

References 50 publications

A wavelet based data coupling method for spatial damage detection in beam-type structures

A wavelet based data coupling method for spatial damage detection in beam-type structures

Research on Damage Identification of Nonuniform Microcrack in Beam Structures

Seismic Damage Identification Method for Curved Beam Bridges Based on Wavelet Packet Norm Entropy

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