Three-layered plate: Elasticity solution

Foraboschi, Paolo

doi:10.1016/j.compositesb.2013.06.037

Cited by 57 publications

(28 citation statements)

References 63 publications

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“…Where the wavenumbers z { are those of an Euler Bernoulli beam, which can be easily found in the literature [27].…”

Section: Laminated-glass Beammentioning

confidence: 99%

“…This assumption leads to the idea that the three layers have the same transversal displacement, 1 *9 or 1 *9 [27,29].…”

mentioning

confidence: 99%

“…the effects of geometric non-linearity are neglected [25,26,27,28] An extensive explanation of the assumptions considered in the analytical models for laminated-glass elements can be seen in [17]. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 11…”

mentioning

confidence: 99%

“…Thus, the behavior of the interlayer is modeled by means of the shear modulus in the time domain or in the frequency domain [5][6][17][18][19][20][21][22][23][24][25][26][27][28].…”

mentioning

confidence: 99%

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Dynamic effective thickness in laminated-glass beams and plates

Aenlle

Pelayo

2014

Composites Part B: Engineering

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In recent years, several equations have been proposed to calculate deflections and stresses in laminated-glass beams and plates under static loading using the concept of effective thickness, which consists of calculating the thickness of a monolithic element with equivalent bending properties to a laminated element. Recently, an effective thickness for the dynamic behaviour of laminated-glass beams has been proposed to enable the modal parameters (natural frequencies, loss factors and mode shapes) to be determined using an equivalent monolithic model. In the present paper, the technique has been extended to the two-dimensional case of rectangular laminated-glass plates and the steps needed to estimate the modal parameters of laminated-glass elements using this methodology are presented. The dynamic effective thickness concept has been validated by experimental tests made on a laminated-glass beam and a laminated-glass plate. The results show that good accuracy is achieved in the natural frequencies and mode shapes but high scatter is encountered in the loss factors.

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“…Where the wavenumbers z { are those of an Euler Bernoulli beam, which can be easily found in the literature [27].…”

Section: Laminated-glass Beammentioning

confidence: 99%

“…This assumption leads to the idea that the three layers have the same transversal displacement, 1 *9 or 1 *9 [27,29].…”

mentioning

confidence: 99%

mentioning

confidence: 99%

“…Thus, the behavior of the interlayer is modeled by means of the shear modulus in the time domain or in the frequency domain [5][6][17][18][19][20][21][22][23][24][25][26][27][28].…”

mentioning

confidence: 99%

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Dynamic effective thickness in laminated-glass beams and plates

Aenlle

Pelayo

2014

Composites Part B: Engineering

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“…Some analytical models proposed for laminated glass elements [16] simplify the calculation considering the polymeric interlayer as a linear elastic material where the shear modulus is chosen according to the temperature and load duration, i.e., neglecting the "memory effect" of viscoelasticity. Galuppi and Royer-Carfagni [1] concluded that a full viscoelastic analysis is only recommended when one is interested in a precise design of a laminated glass structures.…”

Section: Introductionmentioning

confidence: 99%

Natural frequencies and damping ratios of multi-layered laminated glass beams using a dynamic effective thickness

Pelayo

Aenlle

2017

Jnl of Sandwich Structures & Materials

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Multi-layered laminated glass panels are those with at least three monolithic glass layers and two viscoelastic interlayers. Multi-layered laminated glass panels are commonly used in floors, roofs and other horizontal glazing accessible to the public where a high level of security is required. Although the glass can be consider a linear-elastic material, the viscoelastic interlayers determine a non-linear behavior of the laminated structure that must be taken into consideration. In this paper, a dynamic effective thickness is proposed to predict the natural frequencies and damping ratios of multi-layered laminated glass beam-like structures with different boundary conditions and at different temperatures.Furthermore, the presented dynamic effective thickness can be also used to any frequency domain calculations such as displacements and stresses.To validate the proposed model, operational modal analysis was carried out on a multilayered laminated glass beam to obtain the experimental natural frequencies and damping ratios at 20, 25, 30 and 35 . Moreover, a finite element model of the beam was also assembly for the sake of comparison. The proposed model predicts the natural frequencies with errors less than 5% whereas the discrepancies in damping ratios are less than 50%. Greek lettersDensity of the polymeric interlayers Density of the glass layers

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High-Contrast Multi-layered Plates. Statics, Dynamics and Buckling

Boutin¹

2023

Advanced Structured Materials

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Three-layered plate: Elasticity solution

Cited by 57 publications

References 63 publications

Dynamic effective thickness in laminated-glass beams and plates

Dynamic effective thickness in laminated-glass beams and plates

Natural frequencies and damping ratios of multi-layered laminated glass beams using a dynamic effective thickness

High-Contrast Multi-layered Plates. Statics, Dynamics and Buckling

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