Vibration and damage detection in undamaged and cracked circular arches: Experimental and analytical results

Cerri, M N; Dilena, Michele; Ruta, Giuseppe

doi:10.1016/j.jsv.2008.01.029

Cited by 43 publications

(31 citation statements)

References 14 publications

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“…The research findings offered a procedure for determining the depth and location of cracks by analyzing the vibration signals. Moreover, the experimental results out of dynamic behavior of a circular arch in several undamaged and damaged configurations have been reported and they were compared with those obtained by means of analytical methods; acceptable agreement was observed between the analytical and experimental results and an identification procedure based on frequency measurements was proposed and validated (Cerri et al, 2008). Modal-based damage detection algorithm for identifying the location and extent of the defects in timbers was the subject of a recent study that came up with some modifications to the existing defect detection algorithms.…”

Section: Article Published By Edp Sciencesmentioning

confidence: 99%

Les constantes élastiques du bois de peuplier fissuré aux extrémités

2010

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Abstract• In this study, longitudinal specific modulus of elasticity along the grain (specific MOE L = MOE L /ρ) as well as radial and tangential shear moduli (G LR and G LT ) of Populus Deltoides wood were examined in free flexural vibration in a free-free bar method, where end-cracks produced manually in LT plane along and parallel to annual rings in four different sizes.• The effects of four different crack sizes (0, 6, 12, and 18 cm) on elastic parameters of the bars were examined for their vibration properties based on Timoshenko bar equations, in order to find a procedure to make a confident choice of a clear specimen among the cracked ones, considering three initial modes of vibration.• Based on research findings, a significant correlation existed between radial and tangential shear moduli of the clear bars as G LR was approximately 15 percents higher than G LT . After making the shortest crack sizes, however, this correlation entirely faded. Statistically for 6 cm crack, decreases in specific MOE L for measurement on the tangential impact were not significant though they were for longer cracks.• It was also revealed that in specimen under the study if longitudinal specific modulus of elasticity from both LR and LT flexural vibrations were almost equal and G LR was slightly larger than G LT , the user could be confident enough to consider the specimen without severe longitudinal cracks. Mots-clés :fissure / endommagement / élasticité / vibration libre / Populus deltoides Résumé -Les constantes élastiques du bois de peuplier fissuré aux extrémités.• Dans cette étude, le module d'élasticité longitudinal spécifique (MOEL/ρ) et les modules de cisaillement radial et tangentiel (G LR and G LT ) du bois de Populus deltoides ont été mesuré en vibration de flexion libre-libre pour quatre différentes longueurs de fissures initiées manuellement dans le plan LT qui est parallèle au fil du bois et tangentiel aux limites de cernes.• Les effets des quatre différentes tailles de fissures (0, 6, 12 et 18 cm) sur les constantes élastiques des barres ont été examinées pour leurs propriétés vibratoires sur la base des équations de Timoshenko, dans le but de trouver une procédure conduisant à un choix fiable d'un échantillon sans défauts parmi les échantillons fissurés, ceci en considérant les trois modes initiaux de vibration.• Les résultats obtenus montrent une corrélation significative entre les modules de cisaillement radial et tangentiel des barres sans défauts, G LR étant environ 15 pour cent plus élevé que G LT . Cependant après avoir réalisé les fissures les plus courtes cette corrélation n'existe plus. Pour une fissure de 6 cm, la décroissance du module longitudinal spécifique mesuré en tangentiel n'est pas significative alors que c'était le cas pour des fissures plus longues.• Pour nos échantillons, nous avons également montré que si les modules d'élasticité longitudinaux spécifiques sont presque identiques et G LR légèrement plus important que G LT , l'utilisateur peut exploiter en confiance les échantillons sans f...

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Section: Article Published By Edp Sciencesmentioning

confidence: 99%

Les constantes élastiques du bois de peuplier fissuré aux extrémités

2010

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“…Experimental data on the free vibration of damaged arches is generally lacking, to the best of the authors' knowledge. Apart from a recent paper by Cerri et al (2008), most of the contributions use numerical data.…”

Section: Introductionmentioning

confidence: 99%

Numerical and experimental detection of concentrated damage in a parabolic arch by measured frequency variations

Pau

Greco

Vestroni

2010

Journal of Vibration and Control

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The dynamics of a parabolic arch is studied in its undamaged and damaged states. The damage consists of a notch that reduces the height of the cross section at a given abscissa. A damage identification technique, based on the minimization of an objective function measuring the differences between numerical and experimental variations of natural frequencies for undamaged and damaged states, is used. The uniqueness of the solution in different damage configurations is investigated using pseudo-experimental data and the reliability of the identification procedure is assessed. The identification procedure is then applied to an experimental case, where frequencies are obtained by impulsive tests on a prototype arch. The minimum number of experimental data needed to identify damage parameters is defined and the sensitivity of the identification algorithm to different possible choices of sets of data is analyzed

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“…Therefore, the study of their static and dynamic behaviour has attracted considerable attention in the scientific community. Nowadays, investigations on this subject involve both theoretical formulations [1][2][3] and practical applications [4][5][6][7][8].…”

Section: Introductionmentioning

confidence: 99%

Vibration analysis of multi-stepped and multi-damaged parabolic arches using GDQ

Viola

Miniaci

Fantuzzi

et al. 2014

Curved and Layered Structures

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This paper investigates the in-plane free vibrations of multi-stepped and multi-damaged parabolic arches, for various boundary conditions. The axial extension, transverse shear deformation and rotatory inertia effects are taken into account. The constitutive equations relating the stress resultants to the corresponding deformation components refer to an isotropic and linear elastic material. Starting from the kinematic hypothesis for the in-plane displacement of the shear-deformable arch, the equations of motion are deduced by using Hamilton's principle. Natural frequencies and mode shapes are computed using the Generalized Differential Quadrature (GDQ) method. The variable radius of curvature along the axis of the parabolic arch requires, compared to the circular arch, a more complex formulation and numerical implementation of the motion equations as well as the external and internal boundary conditions. Each damage is modelled as a combination of one rotational and two translational elastic springs. A parametric study is performed to illustrate the influence of the damage parameters on the natural frequencies of parabolic arches for different boundary conditions and cross-sections with localized damage. Results for the circular arch, derived from the proposed parabolic model with the derivatives of some parameters set to zero, agree well with those published over the past years.

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Vibration and damage detection in undamaged and cracked circular arches: Experimental and analytical results

Cited by 43 publications

References 14 publications

Les constantes élastiques du bois de peuplier fissuré aux extrémités

Les constantes élastiques du bois de peuplier fissuré aux extrémités

Numerical and experimental detection of concentrated damage in a parabolic arch by measured frequency variations

Vibration analysis of multi-stepped and multi-damaged parabolic arches using GDQ

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