A method to detect cracks in the beams with imperfect boundary conditions

Lupu, D; Gillich, Gilbert-Rainer; Nedelcu, Dorian; Gillich, Nicoleta; Manescu, Tiberiu

doi:10.1088/1742-6596/1781/1/012012

Cited by 4 publications

(2 citation statements)

References 14 publications

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“…From a static or dynamic point of view, the analysis of beams with fixed ends involves the consideration of displacements and slopes perfect boundary conditions. Most researchers use measurement of natural frequencies to characterize imperfect boundary conditions, while others consider modal shapes to detect deviation from ideal conditions [4,6].…”

Section: Introductionmentioning

confidence: 99%

An analytical method for evaluating the dynamic behavior of a soft clamped-type support

Praisach,

Pîrșan,

Harea

et al. 2023

Vib. proced.

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Analytical equations that describe the dynamic behavior of beams with a soft clamped end are very little treated in the literature. The paper aims to solve this problem by introducing a stiffness in the hinged end of the beam, respectively by comparing the bending moment in the clamped end with the slope in the hinge of the same end of the beam. The other end of the beam is permanently hinged. The characteristic equation for determining the eigenvalues and the modal function is deduced. The results show the first four vibration modes for seven stiffness values and the eigenvalues for eleven cases of soft clamped end.

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Section: Introductionmentioning

confidence: 99%

An analytical method for evaluating the dynamic behavior of a soft clamped-type support

Praisach,

Pîrșan,

Harea

et al. 2023

Vib. proced.

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“…In the current paper, we present an analytic method for determining the frequency loss in cantilever beams that are affected by transverse cracks and joint loosening [7] by considering the Relative Frequency Shift (RFS) determined by applying an energy loss method developed by our research team [8]. After the severity values for the cracks and improper clamping conditions are determined, the RFS values are generated for various damage scenarios, and a database is created.…”

Section: Introductionmentioning

confidence: 99%

Detection of weak joints and damages for beams using machine learning

Tufiși¹,

Gillich²,

David³

et al. 2022

Vib. proced.

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For maintaining the safe operation of structures, it is necessary to develop SHM methods that can detect not only the presence of cracks in the structure but also any alterations of its fastening conditions. The current paper presents a method for developing an Artificial Intelligent model that can detect if a beam is affected by transverse cracks and at the same time, by improper boundary conditions. To this aim, a cantilever steel beam is considered as the in the current study. The training data for the artificial neural network (ANN) is created using an original analytic method which allows calculating the natural frequency loss caused by the occurrence of transverse cracks even if the beam is improperly fastened. The intelligent model is trained by employing the MATLAB software and tested using data acquired from numerical simulations. The results show very high accuracy in determining the presence of transverse cracks, and the capability of detecting the presence and severity of improper clamping conditions.

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The strain energy in loosening the clamped end of a beam (part I)

STAN,

PRAISACH,

GILLICH

et al. 2023

Studia UBB Engineering

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Using analytical equations, the paper aims to solve the dynamic behaviour of beams where a clamped end of the beam does not respect the ideal boundary conditions by introducing a weakening coefficient. In the paper, the characteristic equation for determining the eigenvalues and the relationship of the modal function and strain energy are derived. The results show the first six vibration modes for different values of the weakening coefficient which is considered in the clamped end and the evolution of the strain energy.

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A method to detect cracks in the beams with imperfect boundary conditions

Cited by 4 publications

References 14 publications

An analytical method for evaluating the dynamic behavior of a soft clamped-type support

An analytical method for evaluating the dynamic behavior of a soft clamped-type support

Detection of weak joints and damages for beams using machine learning

The strain energy in loosening the clamped end of a beam (part I)

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