Periodic and chaotic behavior of viscoelastic nonlinear (elastica) bars under harmonic excitations

Guillaume Suire, Gabriel Cederbaum

Research output: Contribution to journalArticlepeer-review

38 Scopus citations

Abstract

The analysis of viscoelastic homogeneous bars subjected to harmonic distributed loadings is presented. The material behavior is given in terms of the Boltzmann superposition principle. The equation of motion derived for the elastica, and by including changes in the bar's length, is an integro-differential variation of the Duffing equation. The classical tools of nonlinear dynamics, such as the phase plane portrait, the Poincaré map, the Fourier spectrum and the Lyapunov exponents analysis, are applied in order to investigate the different kinds of behaviors observed.

Original languageEnglish
Pages (from-to)753-772
Number of pages20
JournalInternational Journal of Mechanical Sciences
Volume37
Issue number7
DOIs
StatePublished - 1 Jan 1995

ASJC Scopus subject areas

  • Civil and Structural Engineering
  • Materials Science (all)
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering

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