A comprehensive catastrophe theory for non-linear buckling of simple systems exhibiting fold and cusp catastrophes

DOI10.1002/NME.416zbMath1034.74027OpenAlexW1986228937MaRDI QIDQ4785117

J. E. Harding, G. A. R. Parke, X. Lignos, Anthony N. Kounadis

Publication date: 17 December 2002

Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/nme.416

zbMATH Keywords

stabilitydiscrete systemstotal potential energypotential systemsuniversal unfoldingsdiscrete critical points

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Bifurcation and buckling (74G60) Catastrophe theory (58K35)

Cites Work

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• Dynamic buckling of autonomous systems having potential energy universal unfoldings of cuspoid catastrophe
• An efficient simplified approach for the nonlinear buckling analysisof frames
• Some two-mode buckling problems and their relation to catastrophe theory
• A theory for imperfect bifurcation via singularity theory

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