Secondary bifurcations and localisation in a three-dimensional buckling model

Research output: Contribution to journalArticle

13 Citations (Scopus)

Abstract

This paper revisits the effect of secondary bifurcations on the post-buckling response of a simple 3D system of elastically restrained beams, first discussed by Luongo in [19]. Our main objective is to show how to construct a uniform asymptotic expression for the localised buckling patterns experienced by this model. The governing equation is formulated as a fourth-order eigenvalue problem with non-constant coefficients and then a complex WKB technique is employed to yield the localised instability patterns. Numerical simulations supporting the analytical findings are included as well.

Original languageEnglish
Pages (from-to)1050-1064
Number of pages15
JournalZeitschrift fur Angewandte Mathematik und Physik
Volume55
Issue number6
DOIs
Publication statusPublished - 1 Nov 2004
Externally publishedYes

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buckling
Buckling
Bifurcation
Uniform Asymptotics
Three-dimensional
Postbuckling
Eigenvalue Problem
Fourth Order
Governing equation
eigenvalues
Numerical Simulation
Computer simulation
Coefficient
coefficients
Model
simulation

Cite this

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Secondary bifurcations and localisation in a three-dimensional buckling model. / Coman, Ciprian D.

In: Zeitschrift fur Angewandte Mathematik und Physik, Vol. 55, No. 6, 01.11.2004, p. 1050-1064.

Research output: Contribution to journalArticle

TY - JOUR

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PY - 2004/11/1

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AB - This paper revisits the effect of secondary bifurcations on the post-buckling response of a simple 3D system of elastically restrained beams, first discussed by Luongo in [19]. Our main objective is to show how to construct a uniform asymptotic expression for the localised buckling patterns experienced by this model. The governing equation is formulated as a fourth-order eigenvalue problem with non-constant coefficients and then a complex WKB technique is employed to yield the localised instability patterns. Numerical simulations supporting the analytical findings are included as well.

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