The Spatial Complexity of Localized Buckling in Rods with Noncircular Cross Section

DOI10.1137/S0036139996306833zbMath0928.74033OpenAlexW2004514914MaRDI QIDQ4237234

J. M. T. Thompson, Alan R. Champneys, G. H. M. Van Der Heijden

Publication date: 31 March 1999

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0036139996306833

zbMATH Keywords

bifurcationhomoclinic orbitsdimensionless parameterspatial chaostorsional bucklingtwisting momenttension forceanisotropic rodcountable infinity of localized buckling modespostbuckling shape

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Bifurcation and buckling (74G60)

Related Items (6)

Deformation and vibration of a spatial clamped elastica with noncircular cross section ⋮ Michael Thompson: his seminal contributions to nonlinear dynamics -- and beyond ⋮ The chaotic instability of a slowly spinning asymmetric top. ⋮ A Bracing Nonlinear Walk in Applied Mechanics: Memoirs and Reflections ⋮ Homoclinic and heteroclinic orbits for the 0² or 0²𝑖𝜔 singularity in the presence of two reversibility symmetries ⋮ Homoclinic complexity in the localised buckling of an extensible conducting rod in a uniform magnetic field

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