Comptes Rendus
Free vibrations of linear viscoelastic polymer cantilever beams
Comptes Rendus. Mécanique, Volume 348 (2020) no. 10-11, pp. 797-807.

The free vibrations of cantilever slender beams of polymers, which are viscoelastic materials, are theoretically described using the simple Euler–Bernoulli assumption. The comparison between the theory and the experimental data collected for a thermoplastic elastomer, polyether block amide, shows very satisfactory results. Consequently, the theory is used for a thoughtful analysis of the impact of the material parameters and the beam geometry on its free vibration. Finally, the comparison of the dynamic behaviors of two polymers, using the free vibration test and a simple uniaxial tension/relaxation test, is discussed.

Les vibrations libres d’une poutre encastrée de polymère, mesurées expérimentalement sont reproduites théoriquement à l’aide de l’hypothèse des poutres d’Euler–Bernoulli, une fois le comportement viscoélastique du matériau identifié classiquement. La théorie permet alors de simplement faire varier les paramètres matériaux et géométriques de la poutre afin de tester leurs impacts sur le test de vibration libre. En utilisant l’analyse théorique et en observant la réponse de deux matériaux lors d’un essai simple de traction/relaxation, il est possible de prédire leur comportement relatif en vibration libre.

Received:
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Published online:
DOI: 10.5802/crmeca.15
Keywords: Polymer, Viscoelasticity, Vibration, Damping, Cantilever beam

Julie Diani 1

1 LMS, CNRS UMR 7649, Ecole Polytechnique, Route de Saclay, 91128 Palaiseau, France
License: CC-BY 4.0
Copyrights: The authors retain unrestricted copyrights and publishing rights
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     title = {Free vibrations of linear viscoelastic polymer cantilever beams},
     journal = {Comptes Rendus. M\'ecanique},
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Julie Diani. Free vibrations of linear viscoelastic polymer cantilever beams. Comptes Rendus. Mécanique, Volume 348 (2020) no. 10-11, pp. 797-807. doi : 10.5802/crmeca.15. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.15/

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