Cellular buckling from mode interaction in I-beams under uniform bending

DOI10.1098/rspa.2011.0400zbMath1243.74096arXiv1107.1792OpenAlexW2117474613MaRDI QIDQ2901837

M. Ahmer Wadee, Leroy Gardner

Publication date: 31 July 2012

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

Full work available at URL: https://arxiv.org/abs/1107.1792

zbMATH Keywords

lateral-torsional bucklingnumerical continuationthin-walled beamsnonlinear mechanicsplate bucklingsnaking

Mathematics Subject Classification ID

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

Related Items (1)

Nonlinear mode interaction in equal-leg angle struts susceptible to cellular buckling

Uses Software

• AUTO
• AUTO-07P

Cites Work

• Interactive buckling in thin-walled beams. I: Theory
• Interactive buckling in thin-walled beams. II: Applications
• Exponential asymptotics of localised patterns and snaking bifurcation diagrams
• Kink band propagation in layered structures
• Cylindrical shell buckling: a characterization of localization and periodicity
• Cellular buckling in long structures
• Characterization of limiting homoclinic behaviour in a one-dimensional elastic buckling model
• Homoclinic and heteroclinic orbits underlying the post-buckling of axially-compressed cylindrical shells
• Effects of periodic and localized imperfections on struts on nonlinear foundations and compression sandwich panels
• Sequential Buckling: A Variational Analysis
• Homoclinic snaking: Structure and stability
• Localization and mode interaction in sandwich structures
• Asymptotics of cellular buckling close to the Maxwell load
• Solitary wave interaction phenomena in a strut buckling model incorporating restabilisation

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