Imperfection-sensitivity of elastically supported beams and its relation to the double-cusp instability model

DOI10.1098/RSPA.1986.0046zbMath0592.73052OpenAlexW2045596161MaRDI QIDQ3721926

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Publication date: 1986

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

Full work available at URL: https://doi.org/10.1098/rspa.1986.0046

zbMATH Keywords

nonlinear elastic foundationbardouble eigenvalueuniversal unfoldingdouble cusp catastrophecritical post- buckling behavioreight parameters

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Nonlinear elasticity (74B20) Bifurcation and buckling (74G60) Local and nonlocal bifurcation theory for dynamical systems (37G99)

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Equations of bifurcation sets of three-parameter catastrophes and the application in imperfection sensitivity analysis

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