Dynamical behavior of a mechanical system including Saint-Venant component coupled to a non-linear energy sink

Mathieu Weiss, Alireza Ture Savadkoohi, Oleg V. Gendelman, Claude Henri Lamarque

Research output: Contribution to journalArticlepeer-review

Abstract

Multi-scale vibratory energy exchange between a main oscillator including Saint-Venant term and a cubic non-linear energy sink is studied. Analytically obtained invariant manifold of the system at a fast time scale and detected fixed points and/or fold singularities at a first slow time scale let us predict and explain different regimes that the system may face during the energy exchange process. The paper will be accompanied by some numerical results confirming our analytical predictions.

Original languageEnglish
Pages (from-to)10-18
Number of pages9
JournalInternational Journal of Non-Linear Mechanics
Volume63
DOIs
StatePublished - Jul 2014

Keywords

  • Cubic
  • Energy exchange
  • NES
  • Non-linear
  • Saint-Venant

All Science Journal Classification (ASJC) codes

  • Mechanics of Materials
  • Mechanical Engineering
  • Applied Mathematics

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