SPATIALLY CHAOTIC BIFURCATIONS OF AN ELASTIC WEB OF LINKS-Reference-Cited by-同舟云学术

SPATIALLY CHAOTIC BIFURCATIONS OF AN ELASTIC WEB OF LINKS

Published:2010-12 Issue:12 Volume:20 Page:4011-4028
ISSN:0218-1274
Container-title:International Journal of Bifurcation and Chaos
language:en
Short-container-title:Int. J. Bifurcation Chaos

Author:

KOCSIS ATTILA¹,NÉMETH RÓBERT K.¹,KÁROLYI GYÖRGY¹

Affiliation:

1. Department of Structural Mechanics, Budapest University of Technology and Economics, Műegyetem rkp. 3., H-1111 Budapest, Hungary

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modeling and Simulation,Engineering (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S021812741002815X

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