The dynamics of Stretchable rods in the inertial case

Stéphane Lafortune, Alain Goriely, Michael Tabor

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

Nonlinear amplitude equations for the near-threshold behavior of twisted extensible elastic rods under tension with inertial and dissipative dynamics are derived. In the inertial case localized solutions to the amplitude equations are derived and a linear stability criterion for the pulse solutions is obtained using the Hamiltonian formulation of the problem.

Original languageEnglish (US)
Pages (from-to)173-195
Number of pages23
JournalNonlinear Dynamics
Volume43
Issue number1-2
DOIs
StatePublished - Jan 2006

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Hamiltonians
Amplitude Equations
Stability criteria
Elastic Rods
Hamiltonian Formulation
Linear Stability
Stability Criteria
Nonlinear Equations

Keywords

  • Elastic rods
  • Hamiltonian structure
  • Linear stability
  • Nonlinear analysis
  • Orbital stability

ASJC Scopus subject areas

  • Mechanical Engineering
  • Mechanics of Materials
  • Computational Mechanics

Cite this

The dynamics of Stretchable rods in the inertial case. / Lafortune, Stéphane; Goriely, Alain; Tabor, Michael.

In: Nonlinear Dynamics, Vol. 43, No. 1-2, 01.2006, p. 173-195.

Research output: Contribution to journalArticle

Lafortune, Stéphane ; Goriely, Alain ; Tabor, Michael. / The dynamics of Stretchable rods in the inertial case. In: Nonlinear Dynamics. 2006 ; Vol. 43, No. 1-2. pp. 173-195.
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