Unique determination of a single crack in a uniform simply supported beam in bending vibration

Fernández-Sáez, J.; Morassi, Antonino; Pressacco, Martina; Rubio, Lourdes

doi:10.1016/j.jsv.2016.02.010

Cited by 23 publications

(7 citation statements)

References 28 publications

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“…This detection approach has been successfully used by Morassi and Dilena [7] to identify a point mass located on full-scale classical rods or beams (see also [8] for the case of rods), assuming that the added mass is small with respect to the total mass of the structure. The identification problem for a point mass located on a classical rod or beam, without any a priori assumption on the smallness of the attached mass, has been recently solved by Morassi and coworkers [9,10]. It is possible to show that this inverse problem occurs as an auxiliary problem in the identification of a (not necessarily small) crack in a rod or beam from resonant frequency data.…”

Section: Introductionmentioning

confidence: 99%

“…It is worth to point out that all the above cited works [7,8,9,10] consider that the mechanical systems obey the laws of classical elasticity. However, it is well-known that classical continuum mechanics, due to its scale-free character, cannot predict the relevant size effects present in the mechanical behaviour of nanostructures which compose the nanoresonators.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Mass detection in nanobeams from bending resonant frequency shifts

Dilena

Dell’Oste

Fernández-Sáez

et al. 2019

Mechanical Systems and Signal Processing

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Nanobeams are frequently used as vibration based-sensors to detect mass changes caused, for instance, by attachment of foreign atoms/molecules or chemical/molecular absorption. This paper deals with the bending vibration of a uniform nanobeam carrying a single point mass (direct problem) as well as the identification of the attached mass (inverse problem). The nanobeam is described using the modified strain energy theory adapted to the Euler-Bernoulli beam model, and the natural vibration frequencies have been obtained. Under the assumption of small intensity of the concentrated mass, a solution of the inverse problem based on the measurement of the mass-induced shifts in the first two eigenfrequencies is proposed. Both the cases of simply supported and cantilever end conditions are discussed in detail. The theoretical method is verified by numerical simulation and numerical tests agree well with analytical results.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Mass detection in nanobeams from bending resonant frequency shifts

Dilena

Dell’Oste

Fernández-Sáez

et al. 2019

Mechanical Systems and Signal Processing

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“…Sachin K. Singh and Rajiv Tiwari identified crack depth and crack location in shaft using slope discontinuity in elastic line of shaft [12]. José Fernández-Sáez et al carried out single crack detection in a simply supported beam with help of natural frequencies [13].…”

Section: Introductionmentioning

confidence: 99%

Crack Depth and Crack Location Identification using Artificial Neural Network

Kekan¹,

Tjprc²

2019

IJMPERD

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Identification of crack depth and crack location is an area of concern for researchers across the globe. In the present paper, artificial neural network used to identify crack depth and crack location. Finite element model of rotary shaft with two bearing support was generated. A single crack of varying depth (2mm, 4mm and 6mm) was provided to finite element model of a shaft. Crack distance from bearing support was altered (100 mm, 200 mm, 300 mm and 400 mm). Natural frequency of rotor shaftwas obtained using the modal analysis method. Critical speed of shaft models was obtained from Campbell diagram. Thus, natural frequency and critical speed for all variations of cracks depth and crack locations were obtained. Critical speed and natural frequency for known crack location and crack depth wereused to train an artificial neural network. The training of artificial neural network was completed, with the help of artificial neural network crack location, and crack depth was identified accurately.

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“…When a crack appears in a mechanical component it produces a change in the modal properties (natural frequencies and modes shapes) that is accompanied by an increase in its flexibility [1,4]. Over the last four decades, from the 70s to the present day, many researches have focused on developing nondestructive maintenance methods founded on the vibration measurement characteristics, clearly the mode shapes and natural frequencies, for instance, some of them are presented in [3,[5][6][7][8][9][10], besides, some extensive reviews can be found in [11][12][13][14]. Some of these works are based on the fact that it is possible to estimate the crack parameters by measuring the changes in the natural frequency (inverse problem), since the natural frequencies can be measured accurately and most easily in comparison with other dynamic characteristics of a structure and the experimental errors do not significantly change their values [15,16].…”

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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Unique determination of a single crack in a uniform simply supported beam in bending vibration

Cited by 23 publications

References 28 publications

Mass detection in nanobeams from bending resonant frequency shifts

Mass detection in nanobeams from bending resonant frequency shifts

Crack Depth and Crack Location Identification using Artificial Neural Network

Elliptical Crack Identification in a Nonrotating Shaft

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