Stabilization of a viscoelastic Timoshenko beam fixed into a moving base

  • V. Vougalter
  • , V. Volpert
  • , Amirouche Berkani*
  • , Nasser Eddine Tatar
  • *Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

13 Scopus citations

Abstract

In this paper, we are concerned with a cantilevered Timoshenko beam. The beam is viscoelastic and subject to a translational displacement. Consequently, the Timoshenko system is complemented by an ordinary differential equation describing the dynamic of the base to which the beam is attached to. We establish a control force capable of driving the system to the equilibrium state with a certain speed depending on the decay rate of the relaxation function.

Original languageEnglish
Article number501
JournalMathematical Modelling of Natural Phenomena
Volume14
Issue number5
DOIs
StatePublished - 2019

Bibliographical note

Publisher Copyright:
© EDP Sciences, 2019.

Keywords

  • Stabilization
  • Translational Timoshenko beam
  • Vibrations control
  • Viscoelastic damping

ASJC Scopus subject areas

  • Modeling and Simulation
  • Applied Mathematics

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