Dynamic Analysis of Composite Sandwich Beams with a Frequency-Dependent Viscoelastic Core under the Action of a Moving Load

Karmi, Yacine; Khadri, Youcef; Tekili, Sabiha; Daouadji, Ali; Daya, El Mostafa

doi:10.1007/s11029-021-09921-w

Cited by 7 publications

(1 citation statement)

References 30 publications

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“…Subway dynamic problem under loads from the ground and underground transport is modeled using finite element software in [17]. The dynamic of sandwich beams with a viscoelastic core subjected to a moving load is investigated using the finite element method in [18]. The natural frequencies of non-uniform axially functionally graded beams were investigated using the Chebyshev collocation method in [19].…”

Section: Introductionmentioning

confidence: 99%

Stochastic Higher-order Finite Element Model for the Free Vibration of a Continuous Beam resting on Elastic Support with Uncertain Elastic Modulus

Hien

Diem²,

Tan³

et al. 2023

Eng. Technol. Appl. Sci. Res.

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This paper deals with a continuous beam resting on elastic support with elastic modulus derived from a random process. Governing equations of the stochastic higher-order finite element method of the free vibration of the continuous beam were derived from Hamilton's principle. The random process of elastic modulus was discretized by averaging random variables in each element. A solution for the stochastic eigenvalue problem for the free vibration of the continuous beam was obtained by using the perturbation technique, in conjunction with the finite element method. Spectral representation was used to generate a random process and employ the Monte Carlo simulation. A good agreement was obtained between the results of the first-order perturbation technique and the Monte Carlo simulation.

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Section: Introductionmentioning

confidence: 99%

Stochastic Higher-order Finite Element Model for the Free Vibration of a Continuous Beam resting on Elastic Support with Uncertain Elastic Modulus

Hien

Diem²,

Tan³

et al. 2023

Eng. Technol. Appl. Sci. Res.

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Modeling of a sandwich beam with viscoelastic core partially supported by elastic foundation under moving load

Xiao,

Gao,

Zhou

2024

Polymer Composites

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This research presents a novel investigation into the dynamic response of a sandwich beam distinguished by a viscoelastic core and functionally graded graphene platelet‐reinforced composite (FG‐GPLRC) face sheets. Notably, this study marks the first exploration of the impact of a partial Winkler elastic foundation on this configuration. Every nanocomposite layer consists of a laminate in which graphene platelets (GPLs) are evenly dispersed and arranged in a random orientation. Homogenization of FG‐GPLRC face sheets follows the Halpin–Tsai micromechanical rule, and their constitutive behavior adheres to the Hooke law. The viscoelastic core is modeled using the Kelvin–Voigt constitutive law. The first‐order sandwich theory defines the sandwich structure's displacements. This theory considers both shear deformations and rotary inertias for all sandwich layers. The problem is tackled through the Chebyshev–Ritz method and the Newmark time marching technique. A comprehensive verification analysis is conducted by comparing the findings with other existing experimental, numerical, and analytical results found in the literature. This combined approach reveals compelling insights into the interplay of sandwich composition, geometry, and boundary conditions.Highlights Viscoelastic core effectively dampens dynamic responses in sandwich beams. Doubling face sheet thickness reduces maximum deflection by 31%. Halving core thickness leads to a 53% reduction in dynamic deformation. 1% GPL reinforcement by weight reduces transverse displacement by 44%. Extending elastic foundation decreases deflection by 25% but shows diminishing returns.

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Stochastic Free Vibration Analysis of Beam on Elastic Foundation with the Random Field of Young’s Modulus Using Finite Element Method and Monte Carlo Simulation

Nguyen

Van

Hien

2021

Lecture Notes in Civil Engineering

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Dynamic Analysis of Composite Sandwich Beams with a Frequency-Dependent Viscoelastic Core under the Action of a Moving Load

Cited by 7 publications

References 30 publications

Stochastic Higher-order Finite Element Model for the Free Vibration of a Continuous Beam resting on Elastic Support with Uncertain Elastic Modulus

Stochastic Higher-order Finite Element Model for the Free Vibration of a Continuous Beam resting on Elastic Support with Uncertain Elastic Modulus

Modeling of a sandwich beam with viscoelastic core partially supported by elastic foundation under moving load

Stochastic Free Vibration Analysis of Beam on Elastic Foundation with the Random Field of Young’s Modulus Using Finite Element Method and Monte Carlo Simulation

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