Damping of Beam Vibrations By Means of a Thin Constrained Viscoelastic Layer: Evaluation of a New Theory

Macé, Michel

doi:10.1006/jsvi.1994.1200

Cited by 47 publications

(12 citation statements)

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“…In engineering, the finite element method is commonly used to study the vibration of viscoelastic composite structures. Initially, people used solid elements in commercial finite element software to model viscoelastic composite structures [18,19,20]. These finite element methods used separate elements for each layer, resulting in a large amount of computation.…”

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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“…Mead and Marcus (Mead and Marcus 1969) presented the sixth-order differential equation of lateral displacement to describe the transverse vibration of the confined-damping beam. Mace (Mace 1994) established the finite-element equations of constrained damping in the frequency domain and studied the vibration damping of the confined damping beam with a thin viscoelastic film. Trompette (Trompette and Fatemi 1997) used the complex eigenvalue method.…”

Section: Introductionmentioning

confidence: 99%

Study on the Vibration Performance of a Multi-layer Flat Restrained Damping Structure

Huang¹,

Dong²,

Huang³

et al. 2017

dtmse

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In this paper, the composite loss factor, vibration acceleration level and displacement of a multi-layer flat-shaped constrained damping structure are studied by means of the single-point hammer excitation method and the modal strain energy method. The influence of the number of damping layers on the damping performance of the constrained damping structure is discussed, and the optimal number of layers is determined. The experimental results show that with the increase of the number of damping layers, the loss factor gradually increases, but the increasing range decreases gradually. The loss factor obtained in this study is 0.049, 0.028, and 0.022 respectively. The maximum vibration acceleration level is 15dB, 3dB and 4dB respectively. In addition, the maximum displacement of the structure calculated by the modal strain energy method shows a decreasing trend, which is 0.542, 0.546, 0.383, and 0.264, respectively. The composite loss factor has the same trend as that obtained from the experimental results, with an error very close to 20%. The higher level error is slightly larger, but still less than 25% with good consistency. The results show that the damping effect of the multi-layer plate type confinement damping structure is better than that of the single-layer damping structure. The optimal number of layers is 3.

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“…There are some other models beyond these restrictions such as [11][12][13][14][15][16][17][18] or more recently [19,20] but they are not so computationally efficient for finite elements applications. In fact, RKU is used in most engineering applications basically due to its very easy computational implementation.…”

Section: Introductionmentioning

confidence: 99%

Dynamic Analysis of Three-Layer Sandwich Beams with Thick Viscoelastic Damping Core for Finite Element Applications

Cortés

Sarría

2015

Shock and Vibration

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This paper presents an analysis of the dynamic behaviour of constrained layer damping (CLD) beams with thick viscoelastic layer. A homogenised model for the flexural stiffness is formulated using Reddy-Bickford's quadratic shear in each layer, and it is compared with Ross-Kerwin-Ungar (RKU) classical model, which considers a uniform shear deformation for the viscoelastic core. In order to analyse the efficiency of both models, a numerical application is accomplished and the provided results are compared with those of a 2D model using finite elements, which considers extensional and shear stress and longitudinal, transverse, and rotational inertias. The intermediate viscoelastic material is characterised by a fractional derivative model, with a frequency dependent complex modulus. Eigenvalues and eigenvectors are obtained from an iterative method avoiding the computational problems derived from the frequency dependence of the stiffness matrices. Also, frequency response functions are calculated. The results show that the new model provides better accuracy than the RKU one as the thickness of the core layer increases. In conclusion, a new model has been developed, being able to reproduce the mechanical behaviour of thick CLD beams, reducing storage needs and computational time compared with a 2D model, and improving the results from the RKU model.

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Damping of Beam Vibrations By Means of a Thin Constrained Viscoelastic Layer: Evaluation of a New Theory

Cited by 47 publications

References 0 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

Study on the Vibration Performance of a Multi-layer Flat Restrained Damping Structure

Dynamic Analysis of Three-Layer Sandwich Beams with Thick Viscoelastic Damping Core for Finite Element Applications

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