Daubechies wavelet finite element method and genetic algorithm for detection of pipe crack

Wang, Y.M.; Chen, X.F.; He, Zong-Syun

doi:10.1080/10589759.2010.521826

Cited by 24 publications

(11 citation statements)

References 16 publications

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“…[20,21]. For instance, Liu et al [16] used the Gabor and Morlet wavelets, whereas Wang et al [17] used Daubechies wavelet. The families of wavelets discussed in this section are the most commonly used wavelets in the literature on diagnostics.…”

Section: Nondestructive Testing and Evaluation 101mentioning

confidence: 99%

“…The proposed method was validated analytically as well as experimentally. Liu et al [16] and Wang et al [17] also used the wavelet transform for damage detection. While Liu et al [16] used the continuous wavelet transform for damage detection in fibrereinforced composite beams, Wang et al [17] demonstrated the use of genetic algorithm and Daubechies wavelet in studying the damage detection problem in pipes.…”

Section: Introductionmentioning

confidence: 98%

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Crack diagnostics in beams using wavelets, kurtosis and skewness

Kaul

2013

Nondestructive Testing and Evaluation

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This paper presents a diagnostic technique using wavelets, kurtosis and skewness for detecting crack location and severity in beams. The first three mode shapes of a damaged beam are used for detecting crack locations in beams with varying boundary conditions. Damage due to an edge-crack is modelled by a conventional macroscopic torsional spring element. Multiple families of wavelets with varying scales and vanishing moments are used so as to distinguish between their ability to detect crack locations by using the mode shapes of the damaged beam. Crack detection is followed by determination of the crack size by using statistical measures of the mode shapes such as kurtosis and skewness. These two measures are highly sensitive to small changes in mode shapes resulting from crack initiation or crack propagation, and have been used in other fields of damage detection. Several simulations are presented to showcase the application of the proposed technique, and to highlight the differences between multiple wavelets and the parameters associated with the wavelets. The proposed diagnostic technique is also tested for robustness by adding noise to the mode shapes. The simulation results and preliminary experimental results indicate that the statistical measures of kurtosis and skewness can be used in conjunction with wavelets in order to provide a viable crack diagnostic technique for beam structures.

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Section: Nondestructive Testing and Evaluation 101mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 98%

Crack diagnostics in beams using wavelets, kurtosis and skewness

Kaul

2013

Nondestructive Testing and Evaluation

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“…The contour map method can be used to simultaneously identify the crack location and depth. 28,29 In this paper, slant cracks at 30°, 45°and 90°are considered as examples. The first and second natural frequencies of the slant crack hydraulic straight pipe are used for crack identification.…”

Section: Identification Of Slant Crack Location and Depthmentioning

confidence: 99%

“…The contour map method can be used to simultaneously identify the crack location and depth. 28,29 In this paper, slant cracks at 30°, 45° and 90° are considered as examples.…”

Section: Identification Of Slant Crack Location and Depthmentioning

confidence: 99%

Model-driven fault diagnosis of slant cracks in aero-hydraulic straight pipes

Dou

Yang

et al. 2020

Advances in Mechanical Engineering

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A model-driven fault diagnosis method for slant cracks in aero-hydraulic straight pipes is presented in this paper. First, fracture mechanics theory and the principle of strain energy release are used to derive an expression for the local flexibility coefficient of straight pipes with slant cracks. The inverse method of total flexibility is used to calculate the stiffness matrix of straight pipe elements with slant cracks. Second, the Euler-Bernoulli beam model theory is used in conjunction with the finite element method to construct a dynamic model of the cracked pipe. Finally, a contour map method is used to diagnose the slant crack fault and quantitatively determine the crack position and depth. Experimental results show that the proposed method can accurately and effectively identify a slant crack fault in aero-hydraulic pipelines.

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“…Non-destructive evaluation (NDE) of structures using their vibration responses for an early detection of structural damages has gained reputation over the years [1][2][3][4][5][6][7][8]. Understanding the dynamic behavior of damaged structures is an important step towards the structural damage detection, fault diagnosis and structural health monitoring.…”

Section: Introductionmentioning

confidence: 99%

Study of forced vibration response of a beam with a breathing crack using iteration method

2015

J Mech Sci Technol

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A numerical model is developed to study the forced vibration characteristics of a beam structure with a breathing edge crack. The variable vibration characteristics of the beam induced by the crack breathing are considered in a theoretical model. An iteration numerical method is presented to solve the accurate forced vibration of the cracked beam considering its multiple vibration modes and the bilinearity. From numerical simulations, the satisfied iteration step length is obtained to get the accurate crack breathing frequency under a sinusoidal periodic excitation. The crack breathing frequency increases linearly when the excitation frequency changes from 0 to first resonant frequencies of the cracked beam; a non-linear variation of the crack breathing frequency is revealed with the further increasing of the excitation frequency. The proposed numerical model can be used to solve and study the vibration characteristics of beams with breathing cracks under various excitations.

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Daubechies wavelet finite element method and genetic algorithm for detection of pipe crack

Cited by 24 publications

References 16 publications

Crack diagnostics in beams using wavelets, kurtosis and skewness

Crack diagnostics in beams using wavelets, kurtosis and skewness

Model-driven fault diagnosis of slant cracks in aero-hydraulic straight pipes

Study of forced vibration response of a beam with a breathing crack using iteration method

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