Multiscale design of a rectangular sandwich plate with viscoelastic core and supported at extents by viscoelastic materials

Koutsawa, Yao; Haberman, Michael R.; Daya, El Mostafa; Cherkaoui, Mohammed

doi:10.1007/s10999-008-9084-0

Cited by 18 publications

(7 citation statements)

References 35 publications

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“…meso scale transition model in subsequent modeling steps, they are linearized about the point of maximum NS, and combined with the linear 3D FEA results, presented in Eq. (27) as an effective mesoscopic stiffness tensor for the candidate inclusion at a representative manufacturing temperature (DT …”

Section: G Model Results Of Candidate Inclusionmentioning

confidence: 99%

“…8 shows the effective properties calculated for a composite containing 2% by volume of identically oriented microstructured NS inclusions with the properties given in Eq. (27). The matrix material was assumed to be isotropic and the real part of the plane wave modulus in the x 1 -direction (C eff 11 ) was calculated as the real part of the plane wave modulus of the matrix in the same direction was varied such that the ratio, C I 11 =R½C M 11 2 ½ À1:5 À0:25 .…”

Section: Model Resultsmentioning

confidence: 99%

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A nonlinear negative stiffness metamaterial unit cell and small-on-large multiscale material model

Klatt

Haberman

2013

Journal of Applied Physics

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Section: G Model Results Of Candidate Inclusionmentioning

confidence: 99%

Section: Model Resultsmentioning

confidence: 99%

A nonlinear negative stiffness metamaterial unit cell and small-on-large multiscale material model

Klatt

Haberman

2013

Journal of Applied Physics

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“…With a variety of boundary conditions of SSSS, FFFF, CCCC, CSCS, CFCF, CFFF, and CFSF, we compared the present results with the results of the analytical solution [23], Galerkin method [47] and some FE models of sandwich plates presented by Bilasse and Oguamanam [45], Koutsawa et al. [46], Duigou et al. [48] and Ferreira et al.…”

Section: Finite Element Model Validationmentioning

confidence: 99%

A four-node quadrilateral element for vibration and damping analysis of sandwich plates with viscoelastic core

Ren

Zhao

2017

Jnl of Sandwich Structures & Materials

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Constrained layer damping treatments have been widely used as an effective way for vibration control and noise reduction of thin-walled plates and shells. Despite extensive application in vibration and damping analysis of sandwich plates with viscoelastic core, the rectangular element is challenged by irregular structural forms in practical engineering. In this paper, a three-layer four-node quadrilateral element with seven degrees of freedom at each node is presented. Compared with classical rectangular element, the four-node quadrilateral element has stronger adaptability in complex structural forms and boundary conditions. Based on the layer-wise theory where the constrained layer and the base layer meet Kirchhoff theory and the viscoelastic layer satisfies first-order shear deformation theory, the finite element formulation of the sandwich plate with viscoelastic core is derived by the Hamilton principle in variational form and based on the generalization of the discrete Kirchhoff Quadrilateral plate element. The complex modulus model is employed to describe the viscoelastic core of sandwich plates, allowing for the material’s frequency dependent characteristics. The natural frequencies and associated modal loss factors are computed based on the complex eigenvalue problems. The frequency dependent characteristic of the viscoelastic core is considered and an iterative procedure is introduced to solve the nonlinear eigenvalue problem. At last, six verification numerical examples that include three sandwich beam-plates and three sandwich plates are provided to compare present method with experiment, analytical method, Galerkin method, finite element methods and commercial software (NASTRAN). The results show that the proposed finite element can accurately and efficiently simulate the sandwich plates treated with constrained layer damping with a variety of structural forms and boundary conditions.

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“…Koutsawa et al. [12] presented a multiscale model of viscoelastic layer damping treatment for vibration analysis of plates and beams using finite element method. This formulation considered the shear deformation of the viscoelastic core and rotary inertial effects of all layers.…”

Section: Introductionmentioning

confidence: 99%

Temperature effects on buckling and vibration characteristics of sandwich plate with viscoelastic core and functionally graded material constraining layer

Joseph¹,

Mohanty²

2017

Jnl of Sandwich Structures & Materials

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This article deals with the buckling and free vibration analysis of a sandwich plate with viscoelastic core and functionally graded material constraining lamina under high temperature environment. The first-order shear deformation theory is used for the finite element formulation of the plate. Along with the shear deformation, the longitudinal and transverse deformation of the core is also taken into account. The rise in the external temperature is found to reduce the critical buckling loads and fundamental frequencies, and to increase the corresponding modal loss factors. Various parametric studies such as effect of aspect ratio, core thickness ratio and volume fraction index on static and dynamic behaviour of the sandwich plate are also examined.

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Multiscale design of a rectangular sandwich plate with viscoelastic core and supported at extents by viscoelastic materials

Cited by 18 publications

References 35 publications

A nonlinear negative stiffness metamaterial unit cell and small-on-large multiscale material model

A nonlinear negative stiffness metamaterial unit cell and small-on-large multiscale material model

A four-node quadrilateral element for vibration and damping analysis of sandwich plates with viscoelastic core

Temperature effects on buckling and vibration characteristics of sandwich plate with viscoelastic core and functionally graded material constraining layer

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