Steady States Analysis and Exponential Stability of an Extensible Thermoelastic System

Auteurs-es

  • Ivana Bochicchio University of Salerno
  • Claudio Giorgi University of Brescia
  • Elena Vuk University of Brescia

DOI :

https://doi.org/10.1685/

Mots-clés :

thermoelastic system, hinged beam, steady state solutions, nonlinear buckling, exponential stability

Résumé

In this work we consider a nonlinear model for the vibrations of a thermoelastic beam with fixed ends resting on an elastic foundation. The behavior of the related dissipative system accounts for both the midplane stretching of the beam and the Fourier heat conduction. The nonlinear term enters the motion equation, only, while the dissipation is entirely contributed by the heat equation. Under stationary axial load and uniform external temperature the problem uncouples and the bending equilibria of the beam satisfy a semilinear equation. For a general axial load p, the existence of a finite/infinite set of steady states is proved and buckling occurrence is discussed. Finally, long-term dynamics of solutions and exponential stability of the straight position are scrutinized. [DOI: 10.1685/CSC09232] About DOI

Biographies de l'auteur-e

  • Ivana Bochicchio, University of Salerno
    Borsista post-doc
  • Claudio Giorgi, University of Brescia
    Dipartimento di Matematica Professore ordinario
  • Elena Vuk, University of Brescia
    Dipartimento di Matematica Professore associato

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Publié

2009-08-12

Numéro

Vol. 3 (2009)

Rubrique

Articles

Licence

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