Atténuation des vibrations de structures par traitement piézoélectrique/viscoélastique en utilisant un modèle à dérivées fractionnaires

Authors

  • Ana Cristina Galucio Conservatoire National des Arts et Métiers Laboratoire de Mécanique des Structures et des Systèmes Couplés 2 rue Conté, F-75003 Paris
  • Jean-François Deü Conservatoire National des Arts et Métiers Laboratoire de Mécanique des Structures et des Systèmes Couplés 2 rue Conté, F-75003 Paris
  • Roger Ohayon Conservatoire National des Arts et Métiers Laboratoire de Mécanique des Structures et des Systèmes Couplés 2 rue Conté, F-75003 Paris

Keywords:

damping treatment, piezoelectric material, viscoelasticity, fractional derivatives, sandwich beam, finite element, transient dynamics

Abstract

This work presents a finite element formulation for vibration reduction of an adaptive sandwich beam composed of a viscoelastic core and elastic/piezoelectric laminated faces. The electromechanical coupling is taken into account by modifying the stiffness matrix of the piezoelectric layers. The finite element formulation has no electrical degrees-of-freedom. The fractional derivative Zener model is used to characterize the viscoelastic behavior of the core. Equations of motion are solved using a direct time integration method based on the Newmark scheme in conjunction with the Grünwald approximation of fractional derivatives.

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References

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Published

2004-08-20

How to Cite

Galucio, A. C. ., Deü, J.-F. ., & Ohayon, R. . (2004). Atténuation des vibrations de structures par traitement piézoélectrique/viscoélastique en utilisant un modèle à dérivées fractionnaires. European Journal of Computational Mechanics, 13(5-7), 509–521. Retrieved from https://journals.riverpublishers.com/index.php/EJCM/article/view/2303

Issue

2004: Vol 13 Iss 5-7

Section

Original Article