Buckling of coupled elastic rods
type: Item
instance of: scholarly article
title: Buckling of coupled elastic rods
zbMATH Open document ID: 0638.73014
DOI: 10.1016/0167-2789(88)90027-9
published in: Physica D
publication date: 1988-01-01T00:00:00Z
review text: A simple physical system is studied which demonstrates the unfolding of a multiple bifurcation point. Two coupled elastic rods are subjected to a compressive load. The rods are joined such that their buckling directions are orthogonal. As the load is quasistatically increased from zero one of the two rods will buckle independently of the other. The ``preferred'' buckling mode is determined by two parameters, the length ratio and the stiffness ratio. The experimental system consists of two spring steel strips joined through a Teflon connector such that the buckling planes are orthogonal. The theoretical model consists of an analogous rigid rod and spring model which we assume retains the essential features of the continuous system. Secondary bifurcation is essential to a continuous exchange of priority between the two buckling modes, and its role is examined for both imperfection-free and perturbed rod-spring systems. Our computational results are then compared with some experiments.
Mathematics Subject Classification ID: 74G60
Mathematics Subject Classification ID: 74K10
Mathematics Subject Classification ID: 74B20
zbMATH DE Number: 4041381
zbMATH Keywords: pitchfork bifurcations
zbMATH Keywords: asymmetric modes
zbMATH Keywords: unfolding
zbMATH Keywords: multiple bifurcation point
zbMATH Keywords: Two coupled elastic rods
zbMATH Keywords: compressive load
zbMATH Keywords: buckling directions are orthogonal
zbMATH Keywords: two spring steel strips
zbMATH Keywords: Teflon connector
zbMATH Keywords: rigid rod and spring model
zbMATH Keywords: Secondary bifurcation
zbMATH Keywords: imperfection-free
zbMATH Keywords: perturbed rod- spring systems
author: S. J. Tavener
author: T. Mullin
MaRDI profile type: Publication
full work available at URL: 0167-2789(88)90027-9
OpenAlex ID: W1980580931
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description: scientific article; zbMATH DE number 4041381