Flexural vibrations of beams with delaminations

Mujumdar, P. P.; Suryanarayan, S.

doi:10.1016/0022-460x(88)90253-2

Cited by 242 publications

(215 citation statements)

References 2 publications

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“…For the 'constrained mode', ω/ω o decreases as H 4 increases. This is because the bending stiffness of the beam decreases as the delamination moves towards the midplane [2,3]. However, the decrease is less significant for very short delaminations (a 2 < 0.2L).…”

Section: Resultsmentioning

confidence: 98%

“…The first concerns the complicated changing contact between the delaminated layers. Wang et al [1] assumed that the delaminated layers deformed 'freely' without touching each other, which was shown to be physically inadmissible [2]. Mujumdar and Suryanarayan [2] then proposed a 'constrained' mode where the delaminated layers are assumed to be in touch along their whole length all the time, but are allowed to slide over each other.…”

Section: Formulationmentioning

confidence: 99%

“…However, the vibration modes are physically inadmissible for off-midplane delaminations because the delaminated layers were assumed to deform 'freely' without touching each other and thus have different transverse deformations ('free mode'). Mujumdar and Suryanarayan [2] then proposed a model based on the assumption that the delaminated layers are 'constrained' to have identical transverse deformations ('constrained mode'). This 'constrained mode' approach was extended by Shu and Fan [3] on a bimaterial beam and Hu and Hwu [4] on a sandwich beam to include the effects of the rotary inertia and transverse shear deformation.…”

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confidence: 99%

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Vibration of composite beams with two overlapping delaminations

2005

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Delaminations in composite laminates may develop from small cracks due to fabrication and impact loading, or from places of high stress concentration. The locations of the delaminations are not determinate. In this research, an analytical solution for the free vibration of a composite beam with two overlapping delaminations is presented. The delaminated beam is analyzed as seven interconnected beams using the delaminations as their boundaries. The continuity and equilibrium conditions are satisfied between the adjoining regions of the beams. Classical beam theory is applied to each of the beams. Complex vibration behaviors emerge for different sizes and locations of the delaminations. Comparison with analytical results reported in the literature verifies the validity of the present solution.

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Section: Resultsmentioning

confidence: 98%

Section: Formulationmentioning

confidence: 99%

mentioning

confidence: 99%

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Vibration of composite beams with two overlapping delaminations

2005

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“…According to constrained mode model [25], sub-beams located in the delamination region have identical transverse displacement, i.e. w 2 = w 3 .…”

Section: Constrained Modementioning

confidence: 99%

“…According to this modeling, the dramatic interpenetration of the sub-beams located in the delaminated region may occur in the case of o mid-plane delamination, which is physically impossible. To avoid this kind of inconsistency, a new model was presented by Mujumdar and Suryanarayan [25], which is based on the assumption that the delaminated layers are constrained to have the same transverse deformations (constrained mode model). However, this constrained model cannot predict the opening in the mode shapes found in the experiments by Shen and Grady [26].…”

Section: Introductionmentioning

confidence: 99%

Bending and vibration analysis of delaminated Bernoulli–Euler micro-beams using the modified couple stress theory

et al. 2017

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KEYWORDSAbstract. In this paper, we study static bending and free vibration behaviors of Bernoulli-Euler microbeams with a single delamination using the modi ed couple stress theory. The delaminated beam is modeled by four interconnected sub-beams using the delamination zone as their boundaries. The free and constrained mode theories are utilized to model the interaction of delamination surfaces in the damaged area. The continuity as well as compatibility conditions are satis ed between the neighboring sub-beams. After veri cation of the results for some case studies with available solutions, the e ects of various parameters, such as spanwise and thicknesswise locations of the delamination, material length-scale parameter, and boundary conditions, on the static bending and free vibration characteristics of the size-dependent microbeam, have been investigated in detail.

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Modal–Vibration‐Based Damage Identification

Worden

Friswell

2008

Encyclopedia of Structural Health Monitoring

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A substantial body of structural health monitoring (SHM) research has been carried out in the context of structural dynamics. In this context, it is natural to make use of features for damage identification, which arise in the normal course of structural dynamic testing. The accepted standard for a dynamic test is a modal analysis , which derives a description of the dynamics in terms of natural frequencies, damping ratios, and modeshapes. This article discusses how such features can be used to extract a damage diagnosis. From a modal test, it is possible to extract the physical matrices that enter the structural equations of motion: mass, damping, and stiffness matrices. This article also describes damage identification strategies based on these matrices.

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Flexural vibrations of beams with delaminations

Cited by 242 publications

References 2 publications

Vibration of composite beams with two overlapping delaminations

Vibration of composite beams with two overlapping delaminations

Bending and vibration analysis of delaminated Bernoulli–Euler micro-beams using the modified couple stress theory

Modal–Vibration‐Based Damage Identification

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