Two-Mode Buckling of an Elastically Supported Plate and Its Relation to Catastrophe Theory

DOI10.1115/1.3153741zbMath0446.73036OpenAlexW2127606986MaRDI QIDQ3891868

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Publication date: 1980

Published in: Journal of Applied Mechanics (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/9803b6dca1ef6be0134fcbb4b24ae36bd738eba8

zbMATH Keywords

unique eigenvalueparabolic umbilic catastrophecritical load-imperfectioninfinite plate resting on nonlinear elastic foundationtwo independent compressive in-plane loadstwo-mode initial postbuckling

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Plates (74K20) Bifurcation and buckling (74G60) Catastrophe theory (58K35)

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Equations of bifurcation sets of three-parameter catastrophes and the application in imperfection sensitivity analysis ⋮ Amplitude modulation theory and its application to two-mode buckling problems

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