Arnold tongues and mode–jumping in the supercritical post–buckling of an archetypal elastic structure

DOI10.1098/rspa.1999.0305zbMath0927.74026OpenAlexW1971270261MaRDI QIDQ4260246

P. R. Everall, Giles W. Hunt

Publication date: 1999

Published in: Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.1999.0305

zbMATH Keywords

numerical continuationenergy methodsparameter spacenonlinear dynamical systemelastic platessecondary bucklingfourth-order systemcompound branchingsimply supported elastic strutstiffening elastic foundationsupercritical loads

Mathematics Subject Classification ID

Plates (74K20) Bifurcation and buckling (74G60) Dynamical systems in solid mechanics (37N15)

Related Items (7)

Secondary bifurcation of a shearable rod with nonlinear spring supports ⋮ Secondary bifurcation of a compressible rod with spring-supports ⋮ On the localised buckling of drillstrings in curved boreholes ⋮ Buckling in space and time ⋮ Stable spatially localized configurations in a simple structure -- a global symmetry-breaking approach ⋮ Arnold tongue predictions of secondary buckling in thin elastic plates ⋮ Closed-form and asymptotic solutions for an interactive buckling model

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