Finite element modeling of one-dimensional viscoelastic structures using anelastic displacement fields

Lesieutre, George A.; Bianchini, Emanuele; Maiani, Andrea

doi:10.2514/3.21652

Cited by 52 publications

(22 citation statements)

References 12 publications

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“…A direct time-domain formulation is used in the ADF method, making this model simple and easy to use. The complex modulus model based on the ADF method can be expressed as [9] …”

Section: Parameter Determinationsmentioning

confidence: 99%

Parameter determination and response analysis of viscoelastic material

Guo

Meng

2008

Arch Appl Mech

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The parameter determination of viscoelastic material is a multi-variable, multi-aim nonlinear optimization problem, which made the optimization process very complicated. In this paper a hybrid optimal algorithm was proposed to determine the viscoelastic parameters in the constitutive relation according to the experimentally obtained mechanical properties. This algorithm merges the Broydon-Fletcher-GoldfarbShanno search into a genetic algorithm framework as a basic operator in order to enhance the local search capability. The proposed hybrid algorithm not only can reduce the iterative times greatly but can abolish the limitation of initial parameter values. Nonlinear material characteristic curve-fitting was carried out using the proposed algorithm and other existing approaches. And the comparison results show this algorithm is accurate and effective. The numerical simulation and experimental study of viscoelastic cantilever beam also indicates that the finite element formulation and the calculative viscoelastic model parameters are reliable. The proposed optimization method can be extended to further complex parameter estimation researches.

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“…A direct time-domain formulation is used in the ADF method, making this model simple and easy to use. The complex modulus model based on the ADF method can be expressed as [9] …”

Section: Parameter Determinationsmentioning

confidence: 99%

Parameter determination and response analysis of viscoelastic material

Guo

Meng

2008

Arch Appl Mech

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“…Secondly, the forced vibration solution of (20) in the time domain will be discussed. Assumingf = { F 0 }, the variable substitution can be made by assuming = Φ , converting the state-space equation from the time space to the modal space.…”

Section: Decoupling Transformation and Dynamic Solutionmentioning

confidence: 99%

“…Lesieutre et al [20] mathematically modeled the relaxation behavior of viscoelastic material in terms of augmenting thermodynamic field (ATF) in 1989. Initially, introducing a single augment field, this damping model provided the ability to represent the light-damping behavior, with the application of a 1D viscoelastic structure.…”

Section: Introductionmentioning

confidence: 99%

Vibroacoustical Analysis of Multiple-Layered Structures with Viscoelastic Damping Cores

Lin

Rao

2013

ISRN Mechanical Engineering

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This paper presents a modeling technique to study the vibroacoustics of multiple-layered viscoelastic laminated beams using the Biot damping model. In this work, a complete simulation procedure for studying the structural acoustics of the system using a hybrid numerical model is presented. The boundary element method (BEM) was used to model the acoustical cavity, whereas the finite element method (FEM) was the basis for vibration analysis of the multiple-layered beam structure. Through the proposed procedure, the analysis can easily be extended to another complex geometry with arbitrary boundary conditions. The nonlinear behavior of viscoelastic damping materials was represented by the Biot damping model taking into account the effects of frequency, temperature, and different damping materials for individual layers. The curve-fitting procedure used to obtain the Biot constants for different damping materials for each temperature is explained. The results from structural vibration analysis for selected beams agree with published closed-form results, and results for the radiated noise for a sample beam structure obtained using a commercial BEM software are compared with the acoustical results of the same beam by using the Biot damping model.

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“…A time domain model based on a variation, or Laplace transformed, formulation of the ADF (Anelastic Displacement Fields) model, originally proposed by Lesieutre and his co-workers [26,27], is proposed in this work. It takes a definition of a complex modulus in the frequency (or Laplace) domain and utilizes the so-called internal, dissipation or anelastic (after Lesieutre) variables to simplify the equations, although with the drawback of increasing the size of the problem.…”

Section: Adf Damping Modelmentioning

confidence: 99%

“…Thus, to account for the frequency dependent material properties, iterative versions of the MSE have been used successfully for moderate damping values [22]. Time domain models, relying on internal variables (see [23]), such as the Golla-Hughes-McTavish (GHM) [24,25] and anelastic displacement fields (ADF) [26,27], or others [28,29], utilizing additional dissipation variables, have been successfully utilized and yield good damping estimates. Alternatively, the use of fractional calculus (FC) [30,31] models, based upon the use of fractional derivatives, has the drawback of generating a "non-standard" finite element (FE) formulation, with a more complex characteristic solution procedure, but yielding also good damping estimates.…”

Section: Introductionmentioning

confidence: 99%

Experimental Identification of GHM and ADF Parameters for Viscoelastic Damping Modeling

Vasques

Rodrigues

Moreira

III European Conference on Computational Mechanics

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Abstract. The implementation of the Golla-Hughes-McTavish (GHM) and Anelastic Displacement Fields (ADF) models in a general finite element (FE) model with viscoelastic damping is presented and discussed in this paper. Additionally, a direct frequency analysis (DFA) is also described and employed. A methodology to identify the complex shear modulus of the viscoelastic materials is described. The identified complex shear modulus of the viscoelastic material 3 M ISD112 is curve-fitted in order to obtain the modeling parameters of the GHM and ADF models. A sandwich plate with a viscoelastic core and elastic skins is analyzed. Measured and predicted frequency response functions (FRFs) are compared with the purpose of assessing the performance of the presented damping models. The analysis allows to asses the validity of the methodology to determine the frequency dependent complex modulus, the GHM and ADF parameters identification and the outcomes and drawbacks of the DFA, GHM and ADF viscoelastic damping modeling strategies.

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Finite element modeling of one-dimensional viscoelastic structures using anelastic displacement fields

Cited by 52 publications

References 12 publications

Parameter determination and response analysis of viscoelastic material

Parameter determination and response analysis of viscoelastic material

Vibroacoustical Analysis of Multiple-Layered Structures with Viscoelastic Damping Cores

Experimental Identification of GHM and ADF Parameters for Viscoelastic Damping Modeling

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