Damage detection in beam through change in measured frequency and undamaged curvature mode shape

Dahak, Mustapha; Touat, Noureddine; Kharoubi, Mounir

doi:10.1080/17415977.2018.1442834

Cited by 56 publications

(30 citation statements)

References 58 publications

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“…Typically, the extraction of three to five modal components is sufficient in order to detect global changes (e.g. changing load path, loss in global stiffness) [15].…”

Section: Oma Principles and Related Workmentioning

confidence: 99%

Cluster-Based Vibration Analysis of Structures With GSP

Zonzini

Girolami

Marchi

et al. 2021

IEEE Trans. Ind. Electron.

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This work describes a divide-and-conquer strategy suited for vibration monitoring applications. Based on a low-cost embedded network of Micro-ElectroMechanical (MEMS) accelerometers, the proposed architecture strives to reduce both power consumption and computational resources. Moreover, it eases the sensor deployment on large structures by exploiting a novel clustering scheme which consists of unconventional and non-overlapped sensing configurations. Signal processing techniques for inter and intra-cluster data assembly are introduced to allow for a full-scale assessment of the structural integrity. More specifically, the capability of graph signal processing is adopted for the first time in vibrationbased monitoring scenarios to capture the spatial relationship between acceleration data. The experimental validation, conducted on a steel beam perturbed with additive mass, revealed high accuracy in damage detection tasks. Deviations in spectral content and mode shape envelopes were correctly revealed regardless of environmental factors and operational uncertainties. Furthermore, an additional key advantage of the implemented architecture relies on its compliance with blind modal investigations, an approach which favors the implementation of autonomous smart monitoring systems.

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“…Typically, the extraction of three to five modal components is sufficient in order to detect global changes (e.g. changing load path, loss in global stiffness) [15].…”

Section: Oma Principles and Related Workmentioning

confidence: 99%

Cluster-Based Vibration Analysis of Structures With GSP

Zonzini

Girolami

Marchi

et al. 2021

IEEE Trans. Ind. Electron.

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“…One of the main beneficiaries of structural identification is the field of non-destructive detection techniques. Currently, there are numerous methods for detecting defects based on vibration measurement [4][5][6][7][8]. The most common modal parameter used to detect defects is the natural frequency, because it can be easily measured and involves the use of simple and robust equipment.…”

Section: Introductionmentioning

confidence: 99%

A versatile algorithm for estimating natural frequencies with high accuracy

Gillich¹,

Nedelcu²,

Barbinta³

et al. 2019

Vib. proced.

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Detection of damage requires an accurate estimation of the natural frequencies of the monitored structure. This paper introduces an algorithm implemented in Python which improves the frequency readability by increasing the number of spectral lines without requiring a signal extension in the time domain. We achieve this by overlapping several spectra calculated from the acquired signal repeatedly shortened. In this way, the overlapped spectrum gets an increased number of spectral lines. The dense mesh of spectral lines permits us to obtain a fine frequency resolution without being necessary an extension of the signal in the time domain. The high density of the spectral lines ensures a sufficient number of points on the main lobes that permits performing an efficient quadratic polynomial interpolation to find the maximizer. It represents the amplitude of the real frequency and is typically located on an inter-line position, thus cannot be found by standard frequency estimation. We implemented the algorithm in Python and tested it successfully for generated signals, containing one or more harmonics, with known frequencies.

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“…We can notice that the forms given by df change according to the crack position, where each position gives a specific shape. According to Dahak et al [23], the presence of crack produces a loss of stored strain energy, and this loss of stored energy changes as function of the value of the curvature mode shape at the crack position. In summary, each frequency changes according to its mode shape displacement at the position of the crack, which explains why each crack position gives different forms of df.…”

Section: Crack Localizationmentioning

confidence: 99%

“…The method consists of plotting contours of the first three frequencies with respect to crack depth and position, and the intersection of plotted contours gives a crack position and size. Recently, Dahak et al [23] simplified the method by using a curvature mode shape rather than calculating the frequencies versus the crack position and depth. A key limitation of the frequency contours method is that it detects only a single damage.…”

Section: Introductionmentioning

confidence: 99%

Crack Detection through the Change in the Normalized Frequency Shape

Dahak¹,

Touat²,

Benkedjouh³

2018

Vibration

Self Cite

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Abstract:The objective of this work is to use natural frequencies for the localization and quantification of cracks in beams. First, to study the effect of the crack on natural frequencies, a finite element model of Euler-Bernoulli is presented. Concerning the damaged element, the stiffness matrix is calculated by the theory of fracture mechanics, by inverting the flexibility matrix. Then, in order to detect damage, we are going to show that the shape given by the change in the natural frequencies is as function of the damage position only. Thus, the crack is located by the correlation between the shape of the measured frequencies and those obtained by the finite elements, where the position that gives the calculated shape which is the most similar to the measured one, indicates the crack position. After the localization, an inverse method will be applied to quantify the damage. Finally, an experimental application is presented to show the real applicability of the method, in which the crack is introduced by using an Electrical Discharge Machining. The results confirm the applicability of the method for the localization and the quantification of cracks.

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Damage detection in beam through change in measured frequency and undamaged curvature mode shape

Cited by 56 publications

References 58 publications

Cluster-Based Vibration Analysis of Structures With GSP

Cluster-Based Vibration Analysis of Structures With GSP

A versatile algorithm for estimating natural frequencies with high accuracy

Crack Detection through the Change in the Normalized Frequency Shape

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