Crack identification in multiple cracked beams made of functionally graded material by using stationary wavelet transform of mode shapes

Lien, Tran Van; Duc, Ngo Trong

doi:10.15625/0866-7136/12835

Cited by 2 publications

(4 citation statements)

References 31 publications

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“…node of curvature (where curvature vanishes) makes no effect on the mode shape, curvature including the approximate one. In general, Equations (22), (24) allow one to obtain…”

Section: Discussionmentioning

confidence: 99%

“…Chandrashekhar and Ganguli [20] applied the fuzzy logic system that allows the curvature-based technique to detect small damage with noisy measured mode shape. The wavelet transform is a useful tool for revealing small localized change in a signal [21] and was employed for crack detection in beam structures using mode shape [22] and curvature [23]. However, it requires a large amount of input data and is strongly sensitive to noise or miscalculation of input data.…”

Section: Introductionmentioning

confidence: 99%

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Mode shape curvature of multiple cracked beam and its use for crack identification in beam-like structures

Khiem

2020

Vietnam J. Mech.

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The problem of using the modal curvature for crack detection is discussed in this paper based on an exact expression of mode shape and its curvature. Using the obtained herein exact expression for the mode shape and its curvature, it is demonstrated that the mode shape curvature is really more sensitive to crack than mode shape itself. Nevertheless, crack-induced change in the approximate curvature calculated from the exact mode shape by the central finite difference technique (Laplacian) is much greater in comparison with both the mode shape and curvature. It is produced by the fact, shown in this study, that miscalculation of the approximate curvature is straightforwardly dependent upon crack magnitude and resolution step of the finite difference approximation. Therefore, it can be confidently recommended to use the approximate curvature for multiple crack detection in beam by properly choosing the approximation mesh. The theoretical development has been illustrated by numerical results.

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“…node of curvature (where curvature vanishes) makes no effect on the mode shape, curvature including the approximate one. In general, Equations (22), (24) allow one to obtain…”

Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Mode shape curvature of multiple cracked beam and its use for crack identification in beam-like structures

Khiem

2020

Vietnam J. Mech.

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“…However, the solution satisfying additionally conditions Eq. (10) and acknowledged as general solution for free vibration in multiple cracked FGM beam can be represented as (Lien and Duc, 2019…”

Section: mentioning

confidence: 99%

“…Nazari and Abolbashari (2013) and Abolbashari et al (2014) showed that the artificial neural network provides an efficient technique for double and multiple crack identifications in FGM beams. Zhu et al (2019) proposed a procedure for crack identification in an FGM beam using continuous wavelet transform (CWT) and Lien and Duc (2019) investigated the problem of crack identification based on stationary wavelet transform (SWT) of mode shapes. Recently, Lien et al (2019a) proposed a method combining neuron network (NN) and SWT of mode shapes and dynamic deflections for crack identification in cracked multi-span FGM beams.…”

Section: Introductionmentioning

confidence: 99%

Crack identification in functionally graded material framed structures using stationary wavelet transform and neural network

Khiem

Lien

Duc³

2021

J. Zhejiang Univ. Sci. A

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In this paper, an integrated procedure is proposed to identify cracks in a portal framed structure made of functionally graded material (FGM) using stationary wavelet transform (SWT) and neural network (NN). Material properties of the structure vary along the thickness of beam elements by the power law of volumn distribution. Cracks are assumed to be open and are modeled by double massless springs with stiffness calculated from their depth. The dynamic stiffness method (DSM) is developed to calculate the mode shapes of a cracked frame structure based on shape functions obtained as a general solution of vibration in multiple cracked FGM Timoshenko beams. The SWT of mode shapes is examined for localization of potential cracks in the frame structure and utilized as the input data of NN for crack depth identification. The integrated procedure proposed is shown to be very effective for accurately assessing crack locations and depths in FGM structures, even with noisy measured mode shapes and a limited amount of measured data.

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Crack identification in multiple cracked beams made of functionally graded material by using stationary wavelet transform of mode shapes

Cited by 2 publications

References 31 publications

Mode shape curvature of multiple cracked beam and its use for crack identification in beam-like structures

Mode shape curvature of multiple cracked beam and its use for crack identification in beam-like structures

Crack identification in functionally graded material framed structures using stationary wavelet transform and neural network

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