Exact solution based finite element formulation of cracked beams for crack detection

Eroğlu, Uğurcan; Tüfekçi, Ekrem

doi:10.1016/j.ijsolstr.2016.06.005

Cited by 26 publications

(15 citation statements)

References 38 publications

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“…F depends on the crack's mode and force configurations. The stress σ and the correction factor F for the bending moment and opening mode can be obtained from [17,27] σ…”

Section: Theoretical Modelling Of a Rotating Cracked Beammentioning

confidence: 99%

Simplified modelling and analysis of a rotating Euler-Bernoulli beam with a single cracked edge

Yashar

Ferguson

Tehrani

2018

Journal of Sound and Vibration

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The natural frequencies and mode shapes of the flapwise and chordwise vibrations of a rotating cracked Euler-Bernoulli beam are investigated using a simplified method. This approach is based on obtaining the lateral deflection of the cracked rotating beam by subtracting the potential energy of a rotating massless spring, which represents the crack, from the total potential energy of the intact rotating beam. With this new method, it is assumed that the admissible function which satisfies the geometric boundary conditions of an intact beam is valid even in the presence of a crack. Furthermore, the centrifugal stiffness due to rotation is considered as an additional stiffness, which is obtained from the rotational speed and the geometry of the beam. Finally, the Rayleigh-Ritz method is utilised to solve the eigenvalue problem. The validity of the results is confirmed at different rotational speeds, crack depth and location by comparison with solid and beam finite element model simulations. Furthermore, the mode shapes are compared with those obtained from finite element models using a Modal Assurance Criterion (MAC).

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“…F depends on the crack's mode and force configurations. The stress σ and the correction factor F for the bending moment and opening mode can be obtained from [17,27] σ…”

Section: Theoretical Modelling Of a Rotating Cracked Beammentioning

confidence: 99%

Simplified modelling and analysis of a rotating Euler-Bernoulli beam with a single cracked edge

Yashar

Ferguson

Tehrani

2018

Journal of Sound and Vibration

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“…The use of the GA to solve some kind of crack identification problem is already established in the literature, as in the works of Khaji and Mehrjoo 2014, Hou and Lu 2016, Mungla et al 2016, and Eroglu and Tufecki 2016 . This algorithm is convenient to this particular problem, since it does not use an initial candidate to start the optimization, but a family of them.…”

Section: Optimization Problemmentioning

confidence: 99%

“…In other works, the initial population was selected as 15 times the number of variables, which leads to 30 individuals for two parameters -crack position and depth Khaji and Mehrjoo 2014, Eroglu and Tufecki 2016 . However, this number was increased by 50% in the present work, leading to an initial population of 45 individuals.…”

Section: Optimization Problemmentioning

confidence: 99%

Analysis of sensor placement in beams for crack identification

Filho

Ipiña

Bavastri

2018

Lat. Am. j. solids struct.

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A previous study has shown that the mode shapes of a beam are more sensitive to damage than other vibrational parameters, thus making them better suited for crack identification purposes. However, they have the disadvantage of being more difficult to be measured. To overcome this difficulty, an interesting idea is to monitor changes produced by cracks on the mode shapes only in a few strategic points, instead of performing a complete experimental modal analysis. Considering this possibility, the aim of the present work was to determine the most appropriate locations for installing sensors in beams in order to identify and characterize structural damages. The effect of different locations of cracks on the mode shapes of beams was studied through a numerical computational model using the finite element model. The results were plotted in 3D graphs relating the relative nodal displacement of damaged and intact beams with the crack position and the location of the point analyzed. Through the analysis of these graphs, it was possible to point out the most adequate sites for placing sensors aiming at identifying cracks in a beam in fixed-free and fixed-fixed boundary conditions. Aiming at testing the results, an optimization problem for crack identification was proposed and solved through genetic algorithm GA. The cracks were identified with an accuracy that is appropriate for engineering applications, showing that the proposed method is effective and could be used in Structural Health Monitoring SHM issues. Limitations on its use were also discussed.

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“…Eroglu and Tufekc [5] have developed a FEM model for an edge cracked Timoshenko straight beam. They have solved this problem by using genetic algorithm in an inverse manner.…”

Section: Introductionmentioning

confidence: 99%

On the way to fault detection method in moving load dynamics problem by modified recurrent neural networks approach

Jena¹,

Parhi

2021

Mechanics & Industry

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Parameters identification on structure subjected to moving load can be predicted by using the accurate and reliable data. The concepts of recurrent neural networks (RNNs) approach have been used in parameters (crack locations and severities) identifications in structure subjected to moving load in the present methodology. This methodology has incorporated the knowledge based Elman's recurrent neural networks (ERNNs) and Jordan's recurrent neural networks (JRNNs) jointly for the identification of parameters. This approach has been addressed as the inverse problem for predicting the locations and quantification of cracks in the structure in a supervised manner. The Levenberg-Marquardt's back propagation algorithm is implemented to train the proposed networks. To check the robustness of the present method, Numerical studies followed by Finite Element Analysis (FEA) and experimental verifications (Forward problems) are presented as a case study by considering a multi-cracked simply supported structure under a moving mass. The estimated crack locations and severities obtained from the proposed RNNs model converge well with those of FEA and experiments. From the demonstration of the case study, it concludes that the proposed analogy can identify and quantify the crack locations and severities effectively.

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Exact solution based finite element formulation of cracked beams for crack detection

Cited by 26 publications

References 38 publications

Simplified modelling and analysis of a rotating Euler-Bernoulli beam with a single cracked edge

Simplified modelling and analysis of a rotating Euler-Bernoulli beam with a single cracked edge

Analysis of sensor placement in beams for crack identification

On the way to fault detection method in moving load dynamics problem by modified recurrent neural networks approach

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