Detection of Damage Locations in a Beam Using the Wavelet Analysis

Lee, Y. Y.; Liew, K. M.

doi:10.1142/s0219455401000238

Cited by 38 publications

(15 citation statements)

References 3 publications

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“…The theory of image detection can be traced back to Marr and Hildreth in 1980. In 1986 Canny proposed he method that today is the de-facto technique used in image analysis [3,5], the use of the wavelet transform expanded to a wide range of areas and Mallat suggested a wavelet transformation that can be implemented in detecting edges both in one dimensional signals and images [5]. Edges in images often appear where large variations in the intensity exist.…”

Section: Image Edge Detectionmentioning

confidence: 99%

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Perceptible Grouping of Cracks in Nuclear Piping Using Wavelet Transformation

Ismail¹,

Rakh²,

Zaki³

et al. 2009

IJCEE

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Abstract-This paper presents an application of the wavelet transform for damage detection or crack detection based on digital image processing measurements. A number of important issues that need to be considered when image sequences are used for vibration analysis are discussed. These include: correspondence of image features from image to image, image calibration and spatial resolution. The principles of image edge detection are discussed and a comparison between the wavelet approach and the classical method is presented. A digital image damage detection method based on converting image to data, then filtering and converting from 2D to 3D data measured. The method is illustrated using a simple programming for matlab and Fortran for image to data and wavelet transformation model. The major advantage of the method is the significantly increased number of discrete points used to describe mode shapes. This is in contrast to classical techniques where in practice a small number of measurement points are obtained from a limited number of sensors.

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Section: Image Edge Detectionmentioning

confidence: 99%

“…Wavelet edges, which are respectively horizontal and vertical. The wavelet 3 Ψ produces large coefficients at the corners (diagonal direction). The wavelet family…”

Section: The Two-dimensional Wavelet Transformmentioning

confidence: 99%

Perceptible Grouping of Cracks in Nuclear Piping Using Wavelet Transformation

Ismail¹,

Rakh²,

Zaki³

et al. 2009

IJCEE

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“…Substitution of (19) into (18) leads to an ordinary differential equation for Y m , which has a general solution of the form…”

Section: Vibration Model Of a Plate With A Finite Crackmentioning

confidence: 99%

“…Deng and Wang [17] applied the discrete wavelet transform directly to structural response signals to locate a crack along the length of a beam. Lee and Liew [18] used also wavelet analysis for detection of cracks in beams. They employed the general beam solution to enable investigation under different boundary conditions.…”

Section: Introductionmentioning

confidence: 99%

A two-dimensional wavelet transform for detection of cracks in plates

Loutridis

Douka

Hadjileontiadis

et al. 2005

Engineering Structures

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“…In other words, WT constructs both low-and high-frequency components at various levels of resolution in time series, which would improve the accuracy of predictive models. It has been demonstrated as a powerful technique in some spatial simulation issues, as well [39,40]. The conjunction of these types of analysis with AI models has been applied for estimation issues in water resources and hydrological research [41][42][43][44].…”

Section: Introductionmentioning

confidence: 99%

Estimating Soil Available Phosphorus Content through Coupled Wavelet–Data-Driven Models

et al. 2020

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Soil phosphorus (P) is a vital but limited element which is usually leached from the soil via the drainage process. Soil phosphorus as a soluble substance can be delivered through agricultural fields by runoff or soil loss. It is one of the most essential nutrients that affect the sustainability of crops as well as the energy transfer for living organisms. Therefore, an accurate simulation of soil phosphorus, which is considered as a point source pollutant in elevated contents, must be performed. Considering a crucial issue for a sustainable soil and water management, an effective soil phosphorus assessment in the current research was conducted with the aim of examining the capability of five different wavelet-based data-driven models: gene expression programming (GEP), neural networks (NN), random forest (RF), multivariate adaptive regression spline (MARS), and support vector machine (SVM) in modeling soil phosphorus (P). In order to achieve this goal, several parameters, including soil pH, organic carbon (OC), clay content, and soil P data, were collected from different regions of the Neyshabur plain, Khorasan-e-Razavi Province (Northeast Iran). First, a discrete wavelet transform (DWT) was applied to the pH, OC, and clay as the inputs and their subcomponents were utilized in the applied data-driven techniques. Statistical Gamma test was also used for identifying which effective soil parameter is able to influence soil P. The applied methods were assessed through 10-fold cross-validation scenarios. Our results demonstrated that the wavelet–GEP (WGEP) model outperformed the other models with respect to various validations, such as correlation coefficient (R), scatter index (SI), and Nash–Sutcliffe coefficient (NS) criteria. The GEP model improved the accuracy of the MARS, RF, SVM, and NN models with respect to SI-NS (By comparing the SI values of the GEP model with other models namely MARS, RF, SVM, and NN, the outputs of GEP showed more accuracy by 35%, 30%, 40%, 50%, respectively. Similarly, the results of the GEP outperformed the other models by 3.1%, 2.3%, 4.3%, and 7.6%, comparing their NS values.) by 35%-3.1%, 30%-2.3%, 40%-4.3%, and 50%-7.6%, respectively.

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Detection of Damage Locations in a Beam Using the Wavelet Analysis

Cited by 38 publications

References 3 publications

Perceptible Grouping of Cracks in Nuclear Piping Using Wavelet Transformation

Perceptible Grouping of Cracks in Nuclear Piping Using Wavelet Transformation

A two-dimensional wavelet transform for detection of cracks in plates

Estimating Soil Available Phosphorus Content through Coupled Wavelet–Data-Driven Models

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