Non-Destructive Evaluation of Horizontal Crack Detection in Beams Using Transverse Impact

Ishak, Sanuri; Liu, G.R.; Shang, H.M.; Lim, Siak Piang

doi:10.1006/jsvi.2001.4043

Cited by 17 publications

(14 citation statements)

References 18 publications

(17 reference statements)

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“…We mention that the basic computational approach taken by Ishak et al [8][9][10] for crack identification is quite similar to the one taken here, although the details in the two cases are significantly different. Ishak et al consider longitudinal two-dimensional cracks in long threedimensional beams, whereas here one-dimensional cracks in two-dimensional membranes are considered.…”

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confidence: 89%

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Crack identification by ‘arrival time’ using XFEM and a genetic algorithm

Rabinovich¹,

Givoli²,

Vigdergauz³

2008

Numerical Meth Engineering

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SUMMARYA computational framework is developed in which cracks in two-dimensional structures are identified, in conjunction with non-destructive testing of specimens. As opposed to a previous study by the authors, which was based on time-harmonic excitation with a single frequency, here the transient response of the structure to a short-duration signal is measured along part of the external boundary. Crack detection is performed using the solution of an inverse time-dependent problem. It is shown that the arrival time of the input signal to the points of measurement is a good criterion for crack identification in the time domain. The inverse problem of identification is solved using a genetic algorithm, while each forward problem is solved by the time-dependent extended finite element method (XFEM). The XFEM scheme is efficient in that it allows the use of a single regular mesh for a large number of forward time response problems with different crack geometries. Numerical examples involving a crack in a flat membrane are presented. Identification based on 'arrival time' is shown to perform better than that based on time-harmonic response.

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confidence: 89%

“…by using piezoelectric sensors [7] or a scanning laser vibrometer [8][9][10], in the present paper we generate the measurement data artificially via simulation. It would certainly be interesting to replace this simulation by actual measurement; however, this is beyond the scope of the paper, which is completely computational.…”

Section: Introductionmentioning

confidence: 99%

Crack identification by ‘arrival time’ using XFEM and a genetic algorithm

Rabinovich¹,

Givoli²,

Vigdergauz³

2008

Numerical Meth Engineering

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show abstract

“…While in an actual NDT system the measurement data is obtained via an experiment in an actual NDT system, e.g. by using piezoelectric sensors (Michaels and Michaels 2003) or a scanning laser vibrometer (Ishak et al 2002) etc., the measurement data can be also generated via simulations (Chomette et al 2013). Mathematically, two types of approaches are related to NDT via numerical wave excitation.…”

Section: Introductionmentioning

confidence: 99%

A dynamic XFEM formulation for crack identification

Zhang

Wang

Lahmer

et al. 2015

Int J Mech Mater Des

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Nelder-Mead (NM) and Quasi-Newton (QN) optimization methods are used for the numerical solution of crack identification problems in elastodynamics. Fracture is modeled by the eXtended Finite Element Method. The Newmark-b method with Rayleigh damping is employed for the time integration. The effects of various dynamical test loads on the crack identification are investigated. For a timeharmonic excitation with a single frequency and a short-duration signal measured along part of the external boundary, the crack is detected through the solution of an inverse time-dependent problem. Compared to the static load, we show that the dynamic loads are more effective for crack detection problems. Moreover, we tested different dynamic loads and find that NM method works more efficient under the harmonic load than the pounding load while the QN method achieves almost the same results for both load types.

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“…As one of accurate and comprehensive methods, a modeling and simulation method can predict the dynamic characteristics of a cracked structure and provide some guidance to early detection of crack failure. Many previous works focused on an edge crack [9,[12][13][14][15][16][17][18][19][20][21][22][23][24] and multiple edge cracks [3,10,[25][26][27][28][29][30] in cantilever or simply supported beams. Some researchers have studied delaminations in beam structures [16, 31 -46 ].…”

Section: Introductionmentioning

confidence: 99%

A dynamic model of a cantilever beam with a closed, embedded horizontal crack including local flexibilities at crack tips

Liu

Zhu

Charalambides

et al. 2016

Journal of Sound and Vibration

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As one of major failure modes of mechanical structures subjected to periodic loads, embedded cracks due to fatigue can cause catastrophic failure of machineries.Understanding the dynamic characteristics of a structure with an embedded crack is helpful for early crack detection and diagnosis. In this work, a new three-segment beam model with local flexibilities at crack tips is developed to investigate the vibration of a cantilever beam with a closed, fully embedded horizontal crack, which is assumed to be not located at its clamped or free end or distributed near its top or bottom side. The three-segment beam model is assumed to be a linear elastic system, and it does not account for the nonlinear crack closure effect; the top and bottom © 2016. This manuscript version is made available under the Elsevier user license http://www.elsevier.com/open-access/userlicense/1.0/ 2 segments always stay in contact at their interface during the beam vibration. It can model effects of local deformations in the vicinity of the crack tips, which cannot be captured by previous methods in the literature. The middle segment of the beam containing the crack is modeled by a mechanically consistent, reduced bending moment. Each beam segment is assumed to be an Euler-Bernoulli beam, and the compliances at the crack tips are analytically determined using a J-integral approach and verified using commercial finite element software. Using compatibility conditions at the crack tips and the transfer matrix method, the nature frequencies and mode shapes of the cracked cantilever beam are obtained. The three-segment beam model is used to investigate the effects of local flexibilities at crack tips on the first three natural frequencies and mode shapes of the cracked cantilever beam. A stationary wavelet transform (SWT) method is used to process the mode shapes of the cracked cantilever beam; jumps in single-level SWT decomposition detail coefficients can be used to identify the length and location of an embedded horizontal crack. Closed crack; J-integral; Three-segment beam model J J J J J J      (2) where the superscript r denotes the right part. For segments BC and DE, dY=0 and T i =0; hence 0 r BC J  , 0 r DE J  (3) For segment AB, one has c c c c J J J

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Non-Destructive Evaluation of Horizontal Crack Detection in Beams Using Transverse Impact

Cited by 17 publications

References 18 publications

Crack identification by ‘arrival time’ using XFEM and a genetic algorithm

Crack identification by ‘arrival time’ using XFEM and a genetic algorithm

A dynamic XFEM formulation for crack identification

A dynamic model of a cantilever beam with a closed, embedded horizontal crack including local flexibilities at crack tips

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