Crack detection in a beam with an arbitrary number of transverse cracks using genetic algorithms

Khaji, N.; Mehrjoo, Mohsen

doi:10.1007/s12206-013-1147-y

Cited by 31 publications

(14 citation statements)

References 41 publications

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“…Several optimization methods have been used to solve the inverse problem for crack identification, for example, classical optimization technique of minimizing a least square criterion [8,42], the minimization of the mean-square and min-max formulations [43], or evolutionary algorithms [44]. Among them, genetic algorithm (GA) optimization techniques have been successfully included in fault detection methods applied to mechanical systems, for instance, in [45][46][47][48][49][50].…”

Section: Introductionmentioning

confidence: 99%

Elliptical Crack Identification in a Nonrotating Shaft

Muñoz-Abella

Rubio

et al. 2018

Shock and Vibration

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It is known that fatigue cracks are one of the most important problems of the mechanical components, since their propagation can cause severe loss, both personal and economic. So, it is essential to know deeply the behavior of the cracked element to have tools that allow predicting the breakage before it happens. The shafts are elements that are specially affected by the described problem, because they are subjected to alternative compression and tension stresses. This work presents, firstly, an analytical expression that allows determining the first four natural frequencies of bending vibration of a nonrotating cracked shaft, assumed as an Euler–Bernoulli beam, with circular cross section under pinned-pinned conditions, taking into account the elliptical shape of the crack. Second, once the direct problem is known, the inverse problem is approached. Genetic Algorithm technique has been used to estimate the crack parameters assuming known the natural frequencies of the cracked shaft.

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Section: Introductionmentioning

confidence: 99%

Elliptical Crack Identification in a Nonrotating Shaft

Muñoz-Abella

Rubio

et al. 2018

Shock and Vibration

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“…This stochastic search algorithm provides an intelligent exploitation of search space to solve a problem. Khaji and Mehrjoo (2014) proposed a new method using Genetic Algorithm for the determination of the crack locations of an arbitrary number of transverse cracks. The Search Space in GA plays an important role in finding the absolute solution as; Genetic Algorithms (GAs) are random search algorithms.…”

Section: Introductionmentioning

confidence: 99%

Design and development of 3-stage determination of damage location using Mamdani-adaptive genetic-Sugeno model

Sahu

Kumar

Parhi

2017

jtam

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“…Furthermore the joint analysis of Rayleigh and Love waves through defining bi-objective problems can improve the predictions and reduce the uncertainties [13][14][15]. Lamb waves form another significant category of guided waves which exist in structures such as plates and beams, and are utilized for nondestructive evaluations such as identification of cracks in beams and slabs [16][17][18][19], damage detection in composite laminates [20] and thickness prediction of oil and gas pipelines [21].…”

Section: Introductionmentioning

confidence: 99%

Efficient computation of dispersion curves for multilayered waveguides and half-spaces

Astaneh

Guddati

2016

Computer Methods in Applied Mechanics and Engineering

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Motivated by the need to compute dispersion curves for layered media in the contexts of geophysical inversion and nondestructive testing, a novel discretization approach, termed complexlength finite element method (CFEM), is developed and shown to be more efficient than the existing finite element approaches. The new approach is exponentially convergent based on two key features: unconventional stretching of the mesh into complex space and midpoint integration for evaluating the contribution matrices. For modeling the layered half-spaces of infinite depth, we couple CFEM with the method of perfectly matched discrete layers (PMDL) to minimize the errors due to mesh truncation. A number of numerical examples are used to investigate the efficiency of the proposed methods. It is shown that the suggested combination of CFEM and PMDL drastically reduces the number of elements, while requiring minor modifications to the existing finite element codes. It is concluded that the methods' exponential convergence and sparse computation associated with linear finite elements, result in significant reduction in the overall computational cost.

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Crack detection in a beam with an arbitrary number of transverse cracks using genetic algorithms

Cited by 31 publications

References 41 publications

Elliptical Crack Identification in a Nonrotating Shaft

Elliptical Crack Identification in a Nonrotating Shaft

Design and development of 3-stage determination of damage location using Mamdani-adaptive genetic-Sugeno model

Efficient computation of dispersion curves for multilayered waveguides and half-spaces

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