Vibration-Based Diagnostics of Fatigue Damage of Beam-Like Structures

Matveev, V. V.; Bovsunovsky, A.

doi:10.1006/jsvi.2001.3816

Cited by 38 publications

(27 citation statements)

References 13 publications

(23 reference statements)

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“…In open crack models, the crack is considered remain open during the vibration and it is the most widely used [33,34] modeling technique to avoid the complexity resulting from bi-linearity of the breathing crack models. These models are less sensitive to smaller crack depths [35][36][37][38] and lead to lesser crack severity predictions than what they really are [4]. Therefore, recent studies are more in the favor of breathing models, which mitigates those problems by mimicking the real open-close phenomenon of breathing cracks [1,39,40].…”

Section: Organization Of the Thesismentioning

confidence: 99%

Identification of breathing cracks in a beam structure with entropy

Wimarshana

2016

SPIE Proceedings

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During vibration of engineering structures, fatigue cracks may exhibit repetitive crack open-close breathing like phenomenon which ultimately result in a distinct crack type, breathing cracks.This breathing phenomenon generates bi-linearity and irregularities in vibration signals of the cracked structure which carry useful information about the crack occurrence. In this thesis, the concept of entropy is employed to quantify this bi-linearity/irregularity of the vibration response so as to evaluate crack severity. To increase the sensitivity of the entropy calculation to detect the damage severity, sample entropy and quantized approximation of sample entropy are merged with wavelet transformation (WT) which is capable of amplifying the weak irregularities in vibration signal caused by small and initial breathing cracks. A cantilever beam with a breathing crack is studied to asses proposed crack identification method under two vibration conditions with sinusoidal and random excitations. An iterative numerical model is established to generate accurate time domain vibration responses of the cantilever with a breathing crack. Through both numerical simulations and experimental testing, the breathing crack identification with entropy under sinusoidal excitation is studied first and proven to be effective. Then, the crack identification sensitivity under lower excitation frequencies is further improved by parametric optimization of sample entropy and WT. Finally, effective breathing crack identification under general random excitations are experimentally studied and realized using frequency response functions (FRFs) which adapts the proposed crack identification technique to the incurred extra complexity due to random nature of the excitation and structural response.iii

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Section: Organization Of the Thesismentioning

confidence: 99%

Identification of breathing cracks in a beam structure with entropy

Wimarshana

2016

SPIE Proceedings

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“…This means that a breathing crack causes a distortion or singularity of the harmonic time functions, describing vibration characteristics such as displacement, strain, or acceleration. It is shown in [Matveev and Bovsunovsky 2002] that, for the different half cycles of vibration while the crack is closed or open, the normalized distribution function of strain along the beam length can be expressed as…”

Section: Breathing Crackmentioning

confidence: 99%

“…Thus, the vibration of a cracked beam is described by a combination of Equations (2) and (4). Matveev and Bovsunovsky [2002] presented the solutions of the vibration of the beam in two halves of one complete cycle with certain initial conditions as…”

Section: Breathing Crackmentioning

confidence: 99%

“…The solution of Equation (1) is written in the form where w i (x) is the i-th mode shape and ω i is the i-th natural frequency. Mode shapes are expressed in the form [Matveev and Bovsunovsky 2002] …”

Section: Breathing Crackmentioning

confidence: 99%

“…Xastrau [1985] used the finite element method to study the steady state responses of a simply supported beam with multiple closing cracks. Matveev and Bovsunovsky [2002] investigated nonlinear distortions of the vibration characteristics due to fatigue damage. In their studies, the level of nonlinear distortions of the displacement, acceleration and strain waves of the cracked beam were studied and the comparative evaluation of their sensitivity was carried out using a successive algorithm (cycle by cycle).…”

Section: Introductionmentioning

confidence: 99%

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A proposed method for fatigue crack detection and monitoring using the breathing crack phenomenon and wavelet analysis

Nguyen

Olatunbosun

2007

JOMMS

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In this paper the dynamic behavior of a fatigue cracked beam is investigated. The purpose is to reveal the nonlinear behavior of the structure with fatigue damage by using wavelet transform. A cracked cantilever beam is modeled by the finite element (FE) method using ALGOR™ software. A breathing crack is described in the FE method as a surface to surface contact of the two edges of the crack during vibration. Strain time history in the area adjacent to the crack has been analyzed using data processing techniques. Nonlinear effects in signals are usually difficult to detect by conventional data processing methods such as fast Fourier transform. However wavelet transform has recently been shown to be an effective method of detecting such nonlinear effects in signals. Modulus maxima, an important property of wavelet transform, have been used as an indicator of the crack size. Numerical results obtained from the FE analysis are presented in this paper, as well as some experimental results. It is shown that detection of fatigue cracks using breathing behavior and wavelet transform can be used to develop a vibration-based crack detection technique.

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Real‐time reference‐free breathing crack identification using ambient vibration data

Prawin

2021

Structural Contr & Hlth

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Summary A novel dynamic principal component analysis (DPCA)‐based baseline‐free damage diagnostic technique addressing breathing crack detection, localization, and characterization is proposed using ambient vibration data in the time domain. The nonlinear components sensitive to breathing crack, buried in the noisy responses, are first reconstructed by the elimination of the active principal components contributing to the total response using DPCA. A temporal damage sensitive feature based on the evolution of the variation of the residual principal component over time is proposed for confirming the presence and identifying the exact time instant of breathing crack in the structure. Besides detection, three new damage localization indices based on the fractal dimensional analysis of the residual response, first residual principal component vector, and directional angle are proposed for breathing crack localization. The effectiveness of the proposed DPCA approach is verified using the synthetic datasets of the benchmark simply supported beam with a breathing crack, provided by Helsinki Metropolia University of Applied Sciences and a numerically simulated cantilever beam with varied spatial locations and different depths of breathing crack. Finally, experimental investigations have been carried out to demonstrate the practical viability of the proposed DPCA approach.

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Vibration-Based Diagnostics of Fatigue Damage of Beam-Like Structures

Cited by 38 publications

References 13 publications

Identification of breathing cracks in a beam structure with entropy

Identification of breathing cracks in a beam structure with entropy

A proposed method for fatigue crack detection and monitoring using the breathing crack phenomenon and wavelet analysis

Real‐time reference‐free breathing crack identification using ambient vibration data

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