Damage detection using wavelet entropy of acoustic emission waveforms in concrete under flexure

Burud, Nitin B.; Kishen, J.M. Chandra

doi:10.1177/1475921720957096

Cited by 25 publications

(13 citation statements)

References 42 publications

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“…The Daubechies family has the characteristic of biorthogonality, compact support, and rapid decay in the frequency domain. 29,30 These attributes are considered very important for the analysis of transient signals, such as AE activity. One of its members, the ''db3'' wavelet, which is most similar to the recorded AE signals, was used as the wavelet basis to decompose the AE signal into four frequency bands by two-level wavelet packet decomposition R 1 , R 2 , R 3 , R 4 of each AE signal in Specimen 1 were plotted according to the temporal sequence of signals detected in the form of discrete points, respectively, as shown in Figure 9.…”

Section: Resultsmentioning

confidence: 99%

“…As illustrated in Figure 15, statistical analysis was conducted to acquire more information on the distribution characteristics of energy coefficients R 1 and R 4 in the range of (0-10), (10)(11)(12)(13)(14)(15)(16)(17)(18)(19)(20), (20)(21)(22)(23)(24)(25)(26)(27)(28)(29)(30) In Stage 1, over 50% of the energy coefficients R 1 were less than 20, and more than 75% of the energy coefficients R 1 were less than 40. More than 50% of the energy coefficients R 4 were greater than 40.…”

Section: The Relation Between the Signal Frequency And The Crack Sour...mentioning

confidence: 99%

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Quantitative acoustic emission investigation on the crack evolution in concrete prisms by frequency analysis based on wavelet packet transform

Wang

Ding

Ren

et al. 2021

Structural Health Monitoring

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To gain an insight into the evolution of micro-cracks in concrete materials, a quantitative acoustic emission investigation on the damage process of concrete prisms subjected to three-point bending loading was performed. Each of the monitored acoustic emission signals was processed by a two-level wavelet packet decomposition into four different frequency bands (AA2, DA2, AD2, and DD2), and the energy coefficients R1, R2, R3, and R4 that parameterize their characteristic frequency bands were calculated. By analyzing variations in energy coefficients of the lowest frequency band (AA2), R1, and the energy coefficients of the highest frequency band (DD2), R4, the whole damage process was divided into three stages: crack initiation, crack growth, and crack coalescence. An inverse relationship between the frequency of the acoustic emission signal emitted by the propagating crack and the crack size in concrete materials was acquired based on the damage theory of brittle materials and the strain energy release theory. The statistical analysis results of the experimental data indicated that the average of R1 increased in turn, and the average of R4 correspondingly decreased in turn from Stage 1 to Stage 3. It revealed that the frequencies of acoustic emission signals decreased gradually with the evolution of the damage of concrete prisms, which is in a good agreement with the theoretical analysis result.

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Section: Resultsmentioning

confidence: 99%

Section: The Relation Between the Signal Frequency And The Crack Sour...mentioning

confidence: 99%

Quantitative acoustic emission investigation on the crack evolution in concrete prisms by frequency analysis based on wavelet packet transform

Wang

Ding

Ren

et al. 2021

Structural Health Monitoring

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“…Yang et al (2017) used a cross-entropy-based adaptive importance sampling method for carrying out the time-variant reliability analysis of significantly deteriorating and long service life structures. Very recently, Burud and Kishen (2020) applied the concept of Shannon's information theoretic entropy to the wavelet signal energy associated with AE signal emanating from fracture process zone. They successfully demonstrated the usefulness of wavelet entropy as a signal discriminator and indicator of damage with respect to fracture process in concrete beams.…”

Section: Cov Of Shear Capacitymentioning

confidence: 99%

Shear capacity distribution of reinforced concrete beams: An information theoretic entropy approach

Yogalakshmi

Rao

2021

Advances in Structural Engineering

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Using the concept of information theoretic entropy, the probability density function (pdf) of shear capacity of the reinforced concrete beam with stirrup reinforcement is determined. Entropy, expressed in terms of Shannon functional, is maximized subjected to the statistical moment and normalization constraints of pdf of shear capacity. The statistical moments of shear capacity distribution are obtained using second-order approximation of shear capacity equation. The pdf so determined has strong statistical mechanics interpretation of maximum entropy principle. Also, a procedure for goodness-of-fit test has been proposed, for the given data, using the information theoretic entropy as a measure of goodness-of-fit. In the present investigation, beams of three different ranges of shear span to effective depth ratios are considered. The mechanics-based shear capacity equations, presented earlier by authors along with associated modelling errors, are used for estimating the statistical moments of shear capacity distribution. The computationally efficient approach of determination of maximum entropy distribution presented in this article can be viewed as an alternate to the process of determination of pdf using brute force Monte Carlo simulation approach.

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“…Meanwhile, entropy, including Shannon entropy [40], Wiener entropy [41,42], approximate entropy [43], sample entropy [44], fusion entropy [45], wavelet entropy [20,46,47] and multi-scale cross entropy [48][49][50], is effective as a quantitative measure of the uncertainty or disorder of a signal, and the entropy is usually employed as a feature to describe the nonlinearity of different types of signals. Notably, entropy is already being introduced to analyse the ultrasonic signals, and it is used as a new feature to take the place of the conventional statistical indices, such as the RMSD, the CCDM [39], Pearson correlation coefficient [51] and the nth normalized correlation moment [23], for damage estimation.…”

Section: Introductionmentioning

confidence: 99%

Singular spectrum analysis and fuzzy entropy-based damage detection on a thin aluminium plate by using PZTs

Song

Ming

et al. 2022

Smart Mater. Struct.

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In this research, a new method based on singular spectrum analysis (SSA) and fuzzy entropy is developed for damage detection on thin wall-like structures, and the normalized fuzzy entropy is employed as an indicator to identify the severity of the damage. The Lead Zirconate Titanate (PZT) transducers are used in this research to generate and detect the Lamb waves. During the detection, the collected signals from the PZT sensors are firstly decomposed and reconstructed by SSA to extract the feature of the damage, and then the reconstructed signals with the feature of the damage are processed to obtain the normalized fuzzy entropy. An experimental setup of an aluminium plate with added magnets is fabricated to validate the proposed method. The experimental results show that when magnets are attached on the aluminium plate, the normalized fuzzy entropy is smaller than that when there are no magnets. That is because when magnets are placed on the plate, the movement and some vibration modes of Lamb waves are disturbed by the added magnets and this disturbing effect can be enhanced by increasing the number and locations of the added magnets, and eventually the complexity and nonlinearity of the waves are weakened. The experimental results of a single damage with different number of magnets indicate that the normalized fuzzy entropy decreases linearly as the number of the added magnets increases, which demonstrates that the proposed method can be used to detect the severity of the damage. Moreover, the experimental results of multi-damage on different locations indicate that the normalized fuzzy entropy is relevant with both the total number and locations of the added magnets. The normalized fuzzy entropy decreases linearly as the total number of the magnets increases, and the entropy of a single damage is smaller than that of the multi-damage with the same total number of magnets, which demonstrates that the proposed method also can be used for multi-damage detection on a thin plate. This study provides us a new approach to identifying a single or multiple damages on thin wall-like structures.

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Damage detection using wavelet entropy of acoustic emission waveforms in concrete under flexure

Cited by 25 publications

References 42 publications

Quantitative acoustic emission investigation on the crack evolution in concrete prisms by frequency analysis based on wavelet packet transform

Quantitative acoustic emission investigation on the crack evolution in concrete prisms by frequency analysis based on wavelet packet transform

Shear capacity distribution of reinforced concrete beams: An information theoretic entropy approach

Singular spectrum analysis and fuzzy entropy-based damage detection on a thin aluminium plate by using PZTs

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