Three-layered damped beam element for forced vibration analysis of symmetric sandwich structures with a viscoelastic core

Won, S.G.; Bae, S.H.; Cho, Jin-Rae; Bae, Seung-Hoon; Jeong, Weui-Bong

doi:10.1016/j.finel.2013.01.004

Cited by 29 publications

(8 citation statements)

References 21 publications

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“…Won et al [10] analysed numerically the damped forced vibration of the three-constrained-layer sandwich beam which requires C2-basis functions or the mixed formulation and is governed by Mead and Markus's two sets of differential equations of motion. The shape functions are analytically derived using the compatibility relation between the lateral displacement and the transverse shear strain.…”

Section: Beamsmentioning

confidence: 99%

Hybrid Sandwich Panels: A Review

Sandeep

Srinivasa

2020

International Journal of Applied Mechanics and Engineering

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A high specific stiffness, high specific strength, and tailoring the properties for specific application have attracted the attention of the researchers to work in the field of laminated composites and Sandwich structures. Rapid use of these laminated composites and Sandwich structures necessitated the development of new theories that suitable for the bending, buckling and vibration analysis. Many articles were published on free vibration of beams, plates, shells laminated composites and sandwich structures. In this article, a review on free vibration analysis of shear deformable isotropic beams, plates, shells, laminated composites and sandwich structures based on various theories and the exact solution is presented. In addition to this, the literature on finite element modeling of beams, plates, shells laminated composites and sandwich structures based on classical and refined theories is also reviewed. The present article is an attempt to review the available literature, made in the past few decades on free flexural vibration response of Fiber Metal laminated Composites and Sandwich panels using different analytical models, numerical techniques, and experimental methods.

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Section: Beamsmentioning

confidence: 99%

Hybrid Sandwich Panels: A Review

Sandeep

Srinivasa

2020

International Journal of Applied Mechanics and Engineering

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“…Won et al. [26] developed a two-node damped beam element for CLD beam by taking the variation of the virtual kinematic and strain energies expressed in terms of the lateral displacement of the beam and the transverse shear strain of the core layer. Moita et al.…”

Section: Introductionmentioning

confidence: 99%

“…The three-layer beam model is built assuming a Timoshenko hypothesis for the viscoelastic core and Euler-Bernoulli hypotheses for the elastic faces. Won et al [26] developed a two-node damped beam element for CLD beam by taking the variation of the virtual kinematic and strain energies expressed in terms of the lateral displacement of the beam and the transverse shear strain of the core layer. Moita et al [27] developed a triangular finite element model for vibration analysis of active-passive damped multilayer plates with a viscoelastic core sandwiched between elastic layers.…”

Section: Introductionmentioning

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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“…After hardening, the material's properties are similar to those of cement-based materials. IPC represents a novel new class of room-temperature-setting chemically bonded materials with remarkable thermal, structural and rheological properties that are ideal for matrixes of fibre reinforced composite materials (Won et al, 2013;Zenkert et al, 2004;Cuypers, 2002;Vinson, 2001;Zenkert, 1995). The first purpose of the present article paper is to perform an experimental and theoretical study on the IPC composite-based sandwich beams.…”

Section: Introductionmentioning

confidence: 99%

“…The relation between the applied load and the deflection of the material (stiffness) is the only design constraint imposed in the present studies, and the approach used classical concepts of both sandwich beams, and Ibeams. Sandwich beams having rectangular -cross-sections are compared with similar IPC-stiffeners reinforced sandwich beams (Won et al, 2013;Gara et al, 2012;Vinson, 2001).…”

Section: Introductionmentioning

confidence: 99%

Stiffened Sandwich Beam Using Glass Fiber Reinforced Inorganic Phosphate Cement (IPC)

Alshaaer¹

2014

GJSETR

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This paper deals with ordinary and stiffened sandwich beam using fiber reinforced Inorganic Phosphate Cement (IPC) with a polyurethane foam core. Novel IPC stiffeners are proposed and their performance to achieve composite stiffness of sandwich structures is investigated. Experimental and analytical methods are presented assuming that the specific response of beams in bending can be assimilated to elastic behaviour. This analysis method based on analysing a sandwich beam would be to treat it as I-beam. Three different structures of Sandwich beams with Inorganic Phosphate Cement (IPC) matrix composite faces and stiffeners were prepared for the experimental work; an ordinary sandwich structure (OSB), reinforced core sandwich (RCS), and integral blade sandwich (IBS). A good correlation was found with the theoretical analysis. The results confirm that the IPC-stiffeners improve the deflection resistance, and strength of the structures. In this study, the overall stiffness of the 85 cm span sandwich beams increased by factor of 7.6. Although the IBS structure expressed similar deflection behavior to RCS verse applied load, the experimental results show that this structure loses its integrity under lower applied load compared with RCS.

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Three-layered damped beam element for forced vibration analysis of symmetric sandwich structures with a viscoelastic core

Cited by 29 publications

References 21 publications

Hybrid Sandwich Panels: A Review

Hybrid Sandwich Panels: A Review

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

Stiffened Sandwich Beam Using Glass Fiber Reinforced Inorganic Phosphate Cement (IPC)

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