Measurements of Isothermal Complex Moduli of Viscoelastic Materials Over a Large Range of Frequencies

Soula, Mohamed; Vinh, Trần Quang; Chevalier, Y.; Béda, Tibi; Esteoule, Christine

doi:10.1006/jsvi.1997.0978

Cited by 31 publications

(18 citation statements)

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“…Tests on viscoelastic materials led by many authors exhibit strong stiffness frequency dependence on both modulus and phase (see Vinh [2], Soula et al [7,8]). For example, Figure 1 shows the stiffness of a multi layer material with layers of glue, rubber and steel.…”

Section: G Imentioning

confidence: 99%

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A new identification method of viscoelastic behavior: Application to the generalized Maxwell model

Renaud

Dion

Chevallier

et al. 2011

Mechanical Systems and Signal Processing

122

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This paper focuses on the Generalized Maxwell Model (GMM) identification. The formulation of the transfer function of the GMM is defined, as well as its asymptotes. To compare identification methods of the parameters of the GMM, a test transfer function and two quality indicators are defined. Then, three graphical methods are described, the enclosing curve method, the CRONE method and an original one. But the results of graphical methods are not good enough. Thus, two optimization recursive processes are described to improve the results of graphical methods. The first one is based on an unconstrained nonlinear optimization algorithm and the second one is original and allows constraining identified parameters. This new process uses the asymptotes of the modulus and the phase of the transfer function of the GMM. The result of the graphical method optimized with the new process is very accurate and fast.

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Section: G Imentioning

confidence: 99%

“…Then, Equation (3) becomes Equation (7). The modulus and phase of this Fractional Calculus Pole-Zero Formulation (FCPZF) is given by Equation (8). Thus, PZF is a particular case of the FCPZF, where the derivation order is γ i = 1.…”

Section: The Generalized Maxwell Modelmentioning

confidence: 99%

A new identification method of viscoelastic behavior: Application to the generalized Maxwell model

Renaud

Dion

Chevallier

et al. 2011

Mechanical Systems and Signal Processing

122

View full text Add to dashboard Cite

show abstract

“…For example, in (Soula et al, 1997), an inversion method adapted to wide frequency bands has been proposed and validated by experimental results on elastomers. (Pintelon et al, 2004) and (Caracciolo et al, 2004) present experimental methods for characterizing viscoelastic materials based on dynamic analysis of beams.…”

Section: Dynamic Analyses -Experimental and Computational Setupsmentioning

confidence: 99%

Vibration analysis techniques for detecting filler-matrix decohesion in composites

Corn¹,

Dupuy²,

Lenny³

et al. 2012

Revue des composites et des matériaux avancés

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“…[1][2][3][4][5][6]). Il existe déjàd e sm o d eles qui permetten tlapriseencomptedelad ependance fréquentielle du module et de la phase (cf.…”

Section: Introductionunclassified

Méthode d’identification des paramètres d’un modèle de Maxwell généralisé pour la modélisation de l’amortissement

Renaud

Dion

Chevallier

2010

Mécanique & Industries

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Résumé-La dynamique des systèmes mécanique est fortement impactée par le comportement des matériaux viscoélastiques. Ainsi, pour mener des analyses aux valeurs propres complexes les plus réalistes possibles, il est indispensable de bien modéliser ces comportements. Expérimentalement, la raideur et l'amortissement de tels matériaux dépendent de la fréquence. C'est pourquoi, nous avons choisi d'étudier le modèledeMaxwellgénéralisé qui permet de décrire de tels comportements, contrairementàbeaucoupde modèles fréquemment utilisés. Ce modèle met en jeu un certain nombre de paramètres qu'il est nécessaire d'identifier,à partir d'essais sur des matériaux. Cet article présente une méthode d'identificationàp a rtir de courbes de module et de phase. Parmi toutes les formulations possibles du modè l ed eM a x w e l l généralisé, nous avons choisi celle en pôles et en zéros pour réaliser l'identification. Des formules de passage permettent de trouver les paramètres d'autres formulations comme celle de Prony. La méthode d'identification décrite dans cet article est basée sur les courbes asymptotiques du Modèle de Maxwell généralisé. L'identification se passe en 2 temps, les paramètres du modèle sont initialisés, puis une méthode d'optimisation permet de les ajuster au mieux. Nous comparerons notre méthodeà d'autres. Dans le cas d'un système mécanique comprenant plusieurs matériaux viscoélastiques différents, la taille du modèleéléments finis, mise sous forme d'état, augmente rapidement. Afin de minimiser cette taille, les pôles des différents matériaux viscoélastiques peuventêtre choisis identiques. Cette contrainte supplémentaire est imposée dans le schéma itératif d'optimisation. Mots clés : Viscoélasticité/M a x w e l lǵ enéralisé / amortissement / identificationAbstract -The behaviour of dynamical systems is modified by the use of viscoelastic materials. In order to lead realistic complex Eigen values analysis on dynamical systems, one need to model the behaviour of viscoelastic materials. The experiments show that the stiffness and the damping of such materials are frequency dependent. A large number of models often used are not able to describe this dependence; this is why the Generalised Maxwell's model has been chosen. This article describes a method based on modulus and angle curves to identify the parameters of this model. Between all the different formulations of Generalized Maxwell, the pole-zero formulation is the most suited to lead the identification. However, some formulas allow to find the parameters of others formulations like the Prony one. The identification method presented here is based on the asymptotic curves of Generalised Maxwell's model. This identification is led in two step, first parameters are initialised and second they are optimised. This method is confronted to others ones. If several viscoelastic materials have to be modelled in the same dynamical system, the size of the finite element model grows as quick as the number of poles. A way to reduce this size consists in constraining the poles ...

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Measurements of Isothermal Complex Moduli of Viscoelastic Materials Over a Large Range of Frequencies

Cited by 31 publications

References 0 publications

A new identification method of viscoelastic behavior: Application to the generalized Maxwell model

A new identification method of viscoelastic behavior: Application to the generalized Maxwell model

Vibration analysis techniques for detecting filler-matrix decohesion in composites

Méthode d’identification des paramètres d’un modèle de Maxwell généralisé pour la modélisation de l’amortissement

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