Comparison between finite element formulations of active constrained layer damping using classical and layer-wise laminate theory

Park, Chul H.; Baz, A.

doi:10.1016/s0168-874x(00)00017-2

Cited by 30 publications

(19 citation statements)

References 10 publications

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“…Chen, etc [21] established the integral finite elements for elastic-viscoelastic composite beams. Park, etc [22] compared two finite elements of viscoelastic composite plates. Daya and others [23] established a shell finite element for viscoelastically damped sandwich structures.…”

Section: Introductionmentioning

confidence: 99%

A Finite Element Model for the Vibration Analysis of Sandwich Beam with Frequency-Dependent Viscoelastic Material Core

Huang

Wang

et al. 2019

Materials

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In this work, a finite element model was developed for vibration analysis of sandwich beam with a viscoelastic material core sandwiched between two elastic layers. The frequency-dependent viscoelastic dynamics of the sandwich beam were investigated by using finite element analysis and experimental validation. The stiffness and damping of the viscoelastic material core is frequency-dependent, which results in complex vibration modes of the sandwich beam system. A third order seven parameter Biot model was used to describe the frequency-dependent viscoelastic behavior, which was then incorporated with the finite elements of the sandwich beam. Considering the parameters identification, a strategy to determine the parameters of the Biot model has been outlined, and the curve fitting results closely follow the experiment. With identified model parameters, numerical simulations were carried out to predict the vibration and damping behavior in the first three vibration modes, and the results showed that the finite model presented here had good accuracy and efficiency in the specific frequency range of interest. The experimental testing on the viscoelastic sandwich beam validated the numerical predication. The experimental results also showed that the finite element modeling method of sandwich beams that was proposed was correct, simple and effective.

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Section: Introductionmentioning

confidence: 99%

A Finite Element Model for the Vibration Analysis of Sandwich Beam with Frequency-Dependent Viscoelastic Material Core

Huang

Wang

et al. 2019

Materials

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“…It can dramatically reduce the cost, weight and complexity of structural control. Therefore, the research on the dynamic characteristics of ACLD structures has been developed extensively in recent years [1][2][3]. In the exiting references, the analytical method is limited to a few simple structures and boundary conditions, so the finite element method is used widely.…”

Section: Introductionmentioning

confidence: 99%

Dynamic characteristics analysis of active constrained layer damping plate with various boundary conditions

Lü

Xiang

2011

Front. Mech. Eng.

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Considering the direct and converse piezoelectric effect, expressions of piezoelectric membrane internal forces in the piezoelectric constrained layer were given. The control equations of the piezoelectric constrained layer and host plate were obtained in according with the thin plate theory. Based on the layer wised principle, the integrated first order differential equation of an active constrained layer damping (ACLD) plate was derived for the simply supported boundary condition. Then, this method was expanded to the ACLD plate with cantilever boundary condition by virtue of geometric analogy method. Employing the extended homogeneous capacity precision integration approach, a high precision semi-analytical method was proposed to analyze the dynamic characteristics of the ACLD plate with various boundary conditions. The comparison with the literature results has verified the accuracy and effectiveness of the present method.

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“…Effectively, some layerwise models for constrained or integrated viscoelastic treatments modelling have been published [8][9][10][11], evidencing good accuracy in the simulation of the damping layer effects. Lately, layerwise models have been used in the modelling of the mechanical and electrical fields of active and viscoelastic hybrid damping structures as well [12][13][14].…”

Section: Introductionmentioning

confidence: 99%

A generalized layerwise finite element for multi-layer damping treatments

2005

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This paper presents a 4-node facet type quadrangular shell finite element, based on a layerwise theory, developed for dynamic modelling of laminated structures with viscoelastic damping layers. The bending stiffness of the facet shell element is based on the Reissner-Mindlin assumptions and the plate theory is enriched with a shear locking protection adopting the MITC approach. The membrane component is corrected by using incompatible quadratic modes and the drilling degrees of freedom are introduced through a fictitious stiffness stabilization matrix. Linear static tests, using several pathological tests, showed good and convergent results. Dynamic analysis evaluation is provided by using two eigenproblems with exact analytical solution, as well as a conical sandwich shell with a closed-form analytical solution and a semianalytical ring finite element solution. The applicability of the proposed finite element to viscoelastic core sandwich plates is assessed through experimental validation.

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Comparison between finite element formulations of active constrained layer damping using classical and layer-wise laminate theory

Cited by 30 publications

References 10 publications

A Finite Element Model for the Vibration Analysis of Sandwich Beam with Frequency-Dependent Viscoelastic Material Core

A Finite Element Model for the Vibration Analysis of Sandwich Beam with Frequency-Dependent Viscoelastic Material Core

Dynamic characteristics analysis of active constrained layer damping plate with various boundary conditions

A generalized layerwise finite element for multi-layer damping treatments

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