Transient Responses of Polymers and Elastomers Deduced From Harmonic Responses

Soula, Mohamed; Vinh, Trần Quang; Chevalier, Y.

doi:10.1006/jsvi.1997.0979

Cited by 32 publications

(21 citation statements)

References 0 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…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%

See 1 more Smart Citation

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

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.

show abstract

Section: G Imentioning

confidence: 99%

“…The use of a GFCMM in state space model requires that these derivative orders are fractions of integer. Both GMM and GFCMM allow one to describe behaviors between purely elastic and purely viscous materials (see Vinh [2], Soula et al [7]). Figure 2 plots a transfer function of a GFCMM with one Pole-Zero couple with a derivation order of γ = 1/2.…”

Section: G Imentioning

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

“…[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

“…Le modèle aux dérivées fractionnaires permet la modélisation d'une impédance avec une phase arbitraire correspondantàunmoduledepen te arbitraire (cf. [1,4,5]). Ce modèle est compatible avec une modélisation paréléments finis comme S. Sorrentino le montre dans l'article (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

View full text Add to dashboard Cite

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 ...

show abstract

“…and the Piola-Kirchhoff stress tensor is a sum of two stress tensors S 0 (t) and S 1 (t) given by relations (10) and (11): Experimental setups involving longitudinal vibration of beams [15][16][17] are presented in Figure 4. Figure 5 shows experimental curves of Young modulus of fluorosilicone rubber material.…”

mentioning

confidence: 99%

Finite Deformation and Viscoelasticity Modeling and Test

Béda¹,

Chevalier²,

Kokou-Esso³

et al. 2011

ENG

View full text Add to dashboard Cite

A model is considered as a representation of compressive and incompressive elastomeric materials in nonlinear behavior. Applications are done on one hand by the characterisation of polyurethane 60 -65 shore A (a compressive material), and on the other hand by the characterisation of polyurethane 95 shore A and fluorosilicone, both incompressive materials. The Rivlin energy expression is used for incompressive materials. Linear vibrations superposed on static large deformation, which is most often the real using state of elastomeric materials, are studied. Relative experimental and numerical results presented show good predictions.

show abstract

Transient Responses of Polymers and Elastomers Deduced From Harmonic Responses

Cited by 32 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

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

Finite Deformation and Viscoelasticity Modeling and Test

Contact Info

Product

Resources

About