In-Plane Vibrations of Circular Curved Beams with a Transverse Open Crack

Öz, H. R.; Das, Manabendra

doi:10.3390/mca11010001

Cited by 11 publications

(7 citation statements)

References 31 publications

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“…The problem of damaged curved beams has enjoyed less focus. Among the studies on this topic, the papers by Krawczuk and Ostachowicz (1997), Viola et al (2005) and Ö z and Das (2006) are worth citing.…”

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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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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“…However, the greatest part of the literature deals with straight Euler-Bernoulli beams and very few on cracked curved members [4,5,14,28,29]. A great number of scientific papers have been published evaluating stress intensity factors for cracked beams either with reference to I-beams, under both bending moment and axial load [49,50], or T-beams subjected to a bending moment, shear forces and torsion [51].…”

Section: Damage Modelsmentioning

confidence: 98%

“…Several studies have been performed with reference to the direct and inverse problems of beam-like structures in the presence of single [17][18][19][20][21][22][23] or multiple damage [24][25][26][27]. On the contrary, very few applications relative to the evaluation of influence of damage and its detection in arch structures have been conducted so far [4,5,14,28].…”

mentioning

confidence: 96%

Structural models for the evaluation of eigen-properties in damaged spatial arches: a critical appraisal

2016

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The paper considers the eigen-properties of spatial arch structures in both undamaged and damaged configurations. In the literature, several models have been proposed for modelling damage, mainly in beamlike structures, based on the concepts of equivalent elastic weakened section, for concentrated damage, or stiffness reduction influence area, for distributed damage. In damage identification procedures, it is needed to numerically represent the actual structure in which a reliable damage model has to be assumed. An unsuitable damage representation may lead to wrong or misleading results that, although consistent with the assumed model, could be not representative of the actual unhealthy condition of the structure. In this paper, focusing the attention on spatial Timoshenko arches, the eigen-properties of the undamaged and the damaged structure are exactly evaluated, consistent with an assumed continuous model, and compared to the corresponding results provided by several detailed finite element simulations based either on mono-or three-dimensional models.In the assumed continuous model, the damage is represented by considering an appropriate reduction, in a certain zone, in the arch cross section. The comparison with the widely adopted spring equivalent model is also made. A comparative parametric study is developed showing the role of damage on the natural frequencies of vibration of spatial arches and allowing to point out some ambiguous results that may lead to false inverse problem solutions.

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“…In addition, the severity of damage was calculated applying a damage quantification equation deduced from differential equations of plate structure motion. Applying FE method to obtain natural frequencies of an Euler-Bernoulli beam with crack of different positions and depths was carried out by Öz and Das [16]. They considered cracked curved beams with different angles.…”

Section: Introductionmentioning

confidence: 99%

On crack detection in curved beams using change of natural frequency

Zare¹

2018

J. vibroeng.

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In this study, an inverse method for the purpose of identifying the parameters of a single-edge crack in a curved beam is investigated. This method requires both numerical and experimental natural frequencies. The differential quadrature element method (DQEM) is introduced to get the numerical ones. For the purpose of implementing the DQEM the beam is divided into some elements and the governing equations, the continuity and the boundary conditions, are exerted on these elements to create an eigenvalue problem which is solved to obtain the required frequencies. A rotational spring whose stiffness is a function of crack depth is used to model the crack. An objective function with the variables of crack location and depth which is the weighted mean squared error between experimental and numerical frequencies is defined. The artificial bee colony algorithm (ABC) an optimization algorithm inspired by the natural foraging behavior of honeybees is used to minimize the aforementioned objective function and obtain crack parameters. To investigate the accuracy of this non-destructive, fast and easy method, an experimental modal analysis test is conducted on a cracked beam. The results indicate that the position and depth of the crack can be determined successfully using this method. This test is done five times with a different crack depth each time, to show the efficiency of the method for all cracks even small ones. A brief investigation is also done on the effect of crack location and depth on the natural frequencies.

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In-Plane Vibrations of Circular Curved Beams with a Transverse Open Crack

Cited by 11 publications

References 31 publications

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

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

Structural models for the evaluation of eigen-properties in damaged spatial arches: a critical appraisal

On crack detection in curved beams using change of natural frequency

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