Comparative study on cracked beam with different types of cracks carrying moving mass

Jena, Shakti P.; Parhi, Dayal R.; Mishra, Devasis

doi:10.12989/sem.2015.56.5.797

Cited by 12 publications

(12 citation statements)

References 20 publications

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“…Multi-layer perceptron (MLP) and radial basis neural networks (RBNN) are employed to identify the location and severities of cracks. Jena and Parhi [24] have determined the responses of different types of beam structures subjected to moving load under variable damage conditions of structures. Koc et al [25] have combined the finite element and NN method to predict the end deflection of a barrel to study the consequences of an accelerating projectile.…”

Section: *Corresponding Authormentioning

confidence: 99%

Fault Detection in Cracked Structure under Moving Load using RNNs based Approach

Jena¹,

Parhi

2019

Scientia Iranica

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The current work is based on the development of an inverse approach in the domain of Recurrent Neural Networks (RNNs) to identify and quantify cracks on a multi-cracked cantilever beam structure subjected to transit mass. At first, the responses of the multicracked structure subjected to transit load are determined using fourth order Runge-Kutta numerical method and finite element analysis (FEA) has been executed using ANSYS software to authenticate the employed numerical method. The existences and positions of cracks are identified from the measured dynamic excitation of the structure. The crack severities are found out by FEA as forward problem. The modified Elman's Recurrent Neural Networks (ERNNs) approach has been implemented as inverse problem to predict the locations and severities of cracks in the structure by applying Levenberg-Marquardt (LM) back propagation algorithm. The present analogy has been carried out in a supervised manner to check the convergence of the proposed algorithm. The proposed ERNNs method converge good results with those of theory and FEA.

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Section: *Corresponding Authormentioning

confidence: 99%

Fault Detection in Cracked Structure under Moving Load using RNNs based Approach

Jena¹,

Parhi

2019

Scientia Iranica

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“…The dynamic behaviour for a conservative system may be obtained by application of as: (33) In which indicates the variation of the integral. In the above equation, T is the kinetic energy, V is the total strain energy which can be written as the sum of the strain energy due to the bending Vb, the axial strain energy due to the nonlinear stretching forces induced by large deflections Va and the crack strain energy Vc.…”

Section: Nonlinear Vibrations Of a Beam With Multi-cracksmentioning

confidence: 99%

Linear and geometrically nonlinear free and forced vibrations of fully clamped multi-cracked beams

Chajdi¹,

Adri²,

Bikri³

et al. 2019

Diagnostyka

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The linear and geometrically nonlinear free and forced vibrations of Euler-Bernoulli beams with multicracks are investigated using the crack equivalent rotational spring model and the beam transfer matrix method. The Newton Raphson solution of the transcendental frequency equation corresponding to the linear case leads to the cracked beam linear frequencies and mode shapes. Considering the nonlinear case, the beam transverse displacement is expanded as a series of the linear modes calculated before. Using the discretised equation is obtained and solved using the so-called second formulation, developed previously for similar nonlinear structural dynamic problems, to obtain the multi-cracked beam backbone curves and the corresponding amplitude dependent nonlinear mode shapes. Considering the forced vibration case, the nonlinear frequency response functions obtained numerically near to the fundamental nonlinear mode using a single mode approach show the effects of the number of cracks, their locations and depths, and the level of the concentric harmonic force. The inverse problem is explored using the frequency contour plot method to identify crack parameters, such as the crack locations and depths. Satisfactory comparisons are made with previous analytical results.

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“…Hakim et al [7] have developed a damage identification procedure in the domain ANNs by taking into account an I-beam structure. Jena et al [8][9][10][11] have carried out numerous studies like theoretical, FEA and experimental to determine the responses of different types of structures subjected to transit mass. They have determined the structure's response at various damage and moving load parameters.…”

Section: Introductionmentioning

confidence: 99%

“…The entire damage detection procedure has been carried out in a supervised manner. The numerical, FEA and experimental works which are already validated with each other earlier by the authors [8][9][10] are considered as forward problems, while the modified RNNs analogy is considered as inverse method in the present formulation. The present method has been also compared with author's previous works [12,13].…”

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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Comparative study on cracked beam with different types of cracks carrying moving mass

Cited by 12 publications

References 20 publications

Fault Detection in Cracked Structure under Moving Load using RNNs based Approach

Fault Detection in Cracked Structure under Moving Load using RNNs based Approach

Linear and geometrically nonlinear free and forced vibrations of fully clamped multi-cracked beams

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

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