Spatially chaotic bifurcations of an elastic web of links

Attila Kocsis, Róbert K. Németh, G. Károlyi

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

Spatially chaotic bifurcations of an elastic web of links are investigated. We numerically construct the global bifurcation diagrams uniquely describing the buckled states, and show that the exponential growth of the number of equilibrium branches with the size of the web indicates spatial chaos. The types of bifurcations from the trivial equilibrium branch are also determined, and we show that cusp catastrophes of any order can appear. This observation relates the buckling of the elastic web of links to the buckling of rods with finite shear and infinite bending and normal stiffness.

Original languageEnglish
Pages (from-to)4011-4028
Number of pages18
JournalInternational Journal of Bifurcation and Chaos in Applied Sciences and Engineering
Volume20
Issue number12
DOIs
Publication statusPublished - Dec 2010

Fingerprint

Buckling
Bifurcation
Bending (deformation)
Branch
Chaos theory
Catastrophe
Global Bifurcation
Stiffness
Exponential Growth
Bifurcation Diagram
Cusp
Chaos
Trivial
Observation

Keywords

  • bifurcations
  • buckling
  • shear instability
  • Spatial chaos

ASJC Scopus subject areas

  • Applied Mathematics
  • General
  • Engineering(all)
  • Modelling and Simulation

Cite this

Spatially chaotic bifurcations of an elastic web of links. / Kocsis, Attila; Németh, Róbert K.; Károlyi, G.

In: International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, Vol. 20, No. 12, 12.2010, p. 4011-4028.

Research output: Contribution to journalArticle

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