Free vibration analysis of beams and frames with multiple cracks for damage detection

Labib, Amr; Kennedy, David; Featherston, Carol Ann

doi:10.1016/j.jsv.2014.05.015

Cited by 68 publications

(59 citation statements)

References 29 publications

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“…To confirm the validity and accuracy of the proposed method, a cantilever cracked beam, for which some comparative results were shown by Kisa et al [9] and Labib et al [15], was analyzed and the results agrees very well with those of other investigators.…”

Section: Introductionsupporting

confidence: 71%

“…A rotational spring model has been used in many studies to identify cracks in beams [15,22] In this study, the cracked beams were modelled by elements and components connected by hinge and massless rotational spring to determine the effects of cracking on bending behavior of beams. As shown in Fig.…”

Section: Models Of Cracksmentioning

confidence: 99%

“…Matlab code was used to obtain natural frequency and mode shape of beam. In order to test the accuracy and convergence of the present method, the effects of edge-cracks on the natural frequencies of a cantilever beam that has been studied extensively by Wendtland [23] experimentally and by Gudmundson [2] Kisa et al [9] and Labib et al [15] numerically, were examined. The cantilever beam was modeled by rotational spring in cracked section as shown in Fig.…”

Section: Stiffness Matrix Of Modelsmentioning

confidence: 99%

“…Their studies showed that the reduction of natural frequency depends on the crack depth and location and higher drops in the in-plane natural frequency were observed when the crack was located near the roots or corners of the frames [14]. In studies of Labib et al, the rotational spring model was used and natural frequencies of beams and frames with multiple single-edge cracks were obtained [15,16]. Aktas and Sumer modelled pre-damaged RC beams in finite element program and indicated that inclusion of predamage levels by means of cracks into the cross sections have significant effect on beams moment capacity [17].…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Static and Dynamic Analysis of Cracked Concrete Beams Using Experimental Study and Finite Element Analysis

Mazaheri¹,

Rahami²,

Kheyroddin³

2017

Period. Polytech. Civil Eng.

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Section: Introductionsupporting

confidence: 71%

Section: Models Of Cracksmentioning

confidence: 99%

Section: Stiffness Matrix Of Modelsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Static and Dynamic Analysis of Cracked Concrete Beams Using Experimental Study and Finite Element Analysis

Mazaheri¹,

Rahami²,

Kheyroddin³

2017

Period. Polytech. Civil Eng.

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“…Due to its simplicity (the depth and the location are the only crack's parameters required) the "discrete spring" model has been intensively implemented in vibration analysis of cracked beams (Labib et al [7], F. Bakhtiari-Nejad et al [8]). Furthermore, several authors have recently proposed new various approaches for inverse identification of cracks (Labib et al [9], Khien and Toan [10], Khiem and Tram [11], Sung et al [12]), while Cao et al [13], and Gawande and More [14], have also presented some experiments.…”

Section: Introductionmentioning

confidence: 99%

On the Bending Analysis of Multi-Cracked Slender Beams with Continuous Height Variations

Skrinar

Imamović

2018

Period. Polytech. Civil Eng.

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IntroductionAs the cracks are degenerative effects that might severely impact the behaviour of engineering structures, their immediate detection is vitally important for safety reasons. However, the efficiency of structural health monitoring is a combination of accurate data measurements and the versatility of mathematical representation of mechanical behaviour. Although suitable 2D or 3D meshes of finite elements yield the best description of the crack and its surroundings, this approach is advantageous only when all the crack's details are known in advance. Consequently, simplified models are more efficient for inverse problems where none of the potential crack's details (presence, location, intensity) is known.The appropriate simplified model that has been the subject of numerous researches in the past, is the model provided by Okamura et al. [1]. This model simulates cracks by massless rotational linear springs. Each spring connects those neighbouring non-cracked parts of the beam that are modelled as elastic elements and the linear moment-rotation constitutive law is adopted. Such a mathematical model allows for all the essential data (transverse displacements and inner forces) to be evaluated with adequate accuracy.Okamura's computational model was effectively implemented in finite element solutions for the computation of transverse displacements. Initially, Gounaris and Dimarogonas [2] presented a numerical procedure for the computation of a beam element with a single transverse crack. Afterwards, closed-form solutions for the static transverse displacements and stiffness matrix of a beam's finite element having an arbitrary number of transverse cracks have been derived at by several authors by implementing different mathematical methods. The Dirac delta function was implemented twice: by Biondi and Caddemi [3] in regard to the rigidity, and by Palmeri and Cicirello [4] in regard to the flexibility. Sequential solutions of coupled differential equations were implemented by Skrinar [5], while Skrinar and Pliberšek [6] implemented the principle of virtual work.Due to its simplicity (the depth and the location are the only crack's parameters required) the "discrete spring" model has been intensively implemented in vibration analysis of cracked

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Effect of lamina orientation, crack severity, and fillers on dynamic parameters of hybrid composite cantilever beam with double transverse cracks

Sahoo

Jena

2023

Materialwissenschaft Werkst

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Modern-day research in composite material development primarily focuses on tailoring combinations by proportions of constituent materials and monitoring the changes in their targeted properties. In line with this trend, a new class of glass fiber reinforced polymer hybrid composite beam of size 600 mm × 50 mm × 6 mm is fabricated by adding graphene (average particle size:10 μm), and flyash (average particle size: 60 μm). The dynamic behavior of the hybrid beam by introducing two transverse cracks at different positions with varying crack depths is studied by employing analytical, finite-element, and experimental approaches. The dimensionless relative natural frequencies of the cracked/faulty hybrid beam obtained by the proposed methods are compared with the intact hybrid beam. Also, a comparison is made for the hybrid beam with a single crack. An increase in relative crack depth resulted in an increase in values of dimensionless compliances. Further, the effect of fiber orientation and lamina stacking sequence on the dynamic parameters of the hybrid beam are also analyzed. The introduction of the second crack induces higher nonlinearity in bending modes of vibration.

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Free vibration analysis of beams and frames with multiple cracks for damage detection

Cited by 68 publications

References 29 publications

Static and Dynamic Analysis of Cracked Concrete Beams Using Experimental Study and Finite Element Analysis

Static and Dynamic Analysis of Cracked Concrete Beams Using Experimental Study and Finite Element Analysis

On the Bending Analysis of Multi-Cracked Slender Beams with Continuous Height Variations

Effect of lamina orientation, crack severity, and fillers on dynamic parameters of hybrid composite cantilever beam with double transverse cracks

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