Crack identification of functionally graded beams using continuous wavelet transform

Zhu, Lin-Feng; Ke, Liao-Liang; Zhu, Xinqun; Xiang, Yang; Wang, Yue‐Sheng

doi:10.1016/j.compstruct.2018.11.042

Cited by 52 publications

(26 citation statements)

References 46 publications

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“…Besides the DWT, the continuous wavelet transform (CWT) has also been the subject of numerous investigations over the last two decades. Most recently, Zhu et al (2019) apply the CWT to the mode shapes of numerically simulated cracked beams and propose an intensity factor to estimate the crack depth. Ramesh and Rao (2018) conduct an experimental modal analysis on a cantilever beam subjected to a dynamic pulse load and used spatial CWT to locate small perturbations in mode shapes due to damage.…”

Section: Overview Of Shm For Civil Structuresmentioning

confidence: 99%

Reliability of Wavelet Analysis of Mode Shapes for the Early Detection of Damage in Beams

Chouinard

Shahsavari

Bastien

2019

Front. Built Environ.

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Numerous procedures have been developed for the detection and the localization of damage in structures based on changes in the dynamic or static response of structures. Among these, procedures based on wavelet analysis of mode shapes appear to offer a superior performance especially for low levels of damage. In order to evaluate the relative merit of these approaches, criteria based on statistical and probabilistic performance are evaluated as a function of damage level for an experimental beam. These measures include the probability of detection, the probability of false alarms, and the safety index. The safety index used in this application is for the beam under pure bending, which provides a uniform criteria for damage at any location along the beam. The experimental data is obtained on a steel beam where the level of damage is controlled at two locations along its length. A total of 16 equally spaced accelerometers are deployed along the length of the beam. The dynamic properties used to illustrate the proposed procedure are changes in the frequency of the first mode of vibration of the beam and changes in the wavelet coefficients for the first mode of vibration. The data obtained for 5 increasing level of damage at two locations is used to derive prediction equations for the dynamic properties and to estimate the probability of detection and of false alarms as a function of damage level. The results indicate that the procedure based on wavelets is more efficient than the one based on natural frequencies in detecting and localizing low levels of damage. The results also indicate that a monitoring strategy based on wavelets can detect damage before structural safety is significantly compromised while maintaining low probabilities of false alarms.

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Section: Overview Of Shm For Civil Structuresmentioning

confidence: 99%

Reliability of Wavelet Analysis of Mode Shapes for the Early Detection of Damage in Beams

Chouinard

Shahsavari

Bastien

2019

Front. Built Environ.

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“…They included different types of damage in the structural model, obtained the vertical displacements of the structure under the action of static charges and demonstrated the usefulness of the WT for the detection of damages. Likewise, other recent studies which have had a significant contribution in the topic of damage detection on beams/bridges by using wavelet-based methods can be found in [16][17][18][19][20][21][22][23][24][25][26][27][28].…”

Section: Introductionmentioning

confidence: 99%

Wavelet Energy Accumulation Method Applied on the Rio Papaloapan Bridge for Damage Identification

et al. 2021

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Large civil structures such as bridges must be permanently monitored to ensure integrity and avoid collapses due to damage resulting in devastating human fatalities and economic losses. In this article, a wavelet-based method called the Wavelet Energy Accumulation Method (WEAM) is developed in order to detect, locate and quantify damage in vehicular bridges. The WEAM consists of measuring the vibration signals on different points along the bridge while a vehicle crosses it, then those signals and the corresponding ones of the healthy bridge are subtracted and the Continuous Wavelet Transform (CWT) is applied on both, the healthy and the subtracted signals, to obtain the corresponding diagrams, which provide a clue about where the damage is located; then, the border effects must be eliminated. Finally, the Wavelet Energy (WE) is obtained by calculating the area under the curve along the selected range of scale for each point of the bridge deck. The energy of a healthy bridge is low and flat, whereas for a damaged bridge there is a WE accumulation at the damage location. The Rio Papaloapan Bridge (RPB) is considered for this research and the results obtained numerically and experimentally are very promissory to apply this method and avoid accidents.

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“…Only when the size of a crack in a certain direction is large, can the damage in that direction be approximately reduced to a uniform crack, while for the nonuniform damage, there will be a big error in simplifying it to a uniform crack. At present, the related research studies mainly focus on the damage identification of uniform cracks [1][2][3][4][5] but few on the damage identification of nonuniform cracks and nonuniform propagation [6]. e author has not found the calculation equation for the damage identification of semielliptical cracks at present.…”

Section: Introductionmentioning

confidence: 99%

“…erefore, the method of detecting the discontinuity of structural modal shape based on wavelet singularity has attracted the attention of researchers. Some researchers have applied WT to decompose the structural acceleration and modal shape to identify the damage [5,16]. For example, Zhu and Law [17] presented a crack identification technique for bridge beam structures under the moving load and analyzed the displacement mode of the bridge structure through continuous wavelet transform (CWT) to identify the crack damage location of the bridge structure.…”

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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Crack identification of functionally graded beams using continuous wavelet transform

Cited by 52 publications

References 46 publications

Reliability of Wavelet Analysis of Mode Shapes for the Early Detection of Damage in Beams

Reliability of Wavelet Analysis of Mode Shapes for the Early Detection of Damage in Beams

Wavelet Energy Accumulation Method Applied on the Rio Papaloapan Bridge for Damage Identification

Research on Damage Identification of Nonuniform Microcrack in Beam Structures

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