Exponential stabilization of a neutrally delayed viscoelastic Timoshenko beam

Sebti Kerbal, Nasser Eddine Tatar

Research output: Contribution to journalArticle

Abstract

A Timoshenko type beam subject to a viscoelastic damping in the rotational displacement component is considered. Taking into account a neutral type delay, we prove a fast stability result despite the previously observed destabilizing effect due to delays in such systems. The proof relies on the introduction of nine different functionals with which we modify the energy of the system. These functionals are carefully selected and adapted to cope with both the viscoelasticity and the neutral delay.

Original languageEnglish
Pages (from-to)595-611
Number of pages17
JournalTurkish Journal of Mathematics
Volume43
Issue number2
DOIs
Publication statusPublished - Jan 1 2019

Fingerprint

Exponential Stabilization
Timoshenko Beam
Neutral Type
Viscoelasticity
Damping
Energy

Keywords

  • Exponential decay
  • Modified energy
  • Multiplier technique
  • Neutral delay
  • Stability
  • Viscoelasticity

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Exponential stabilization of a neutrally delayed viscoelastic Timoshenko beam. / Kerbal, Sebti; Tatar, Nasser Eddine.

In: Turkish Journal of Mathematics, Vol. 43, No. 2, 01.01.2019, p. 595-611.

Research output: Contribution to journalArticle

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