Axisymmetric buckling of spherical caps with plane flanges. A model of the influence of edge imperfection on critical loading

DOI10.1016/0093-6413(84)90058-2zbMath0574.73057OpenAlexW2032398770MaRDI QIDQ1063452

B. George

Publication date: 1984

Published in: Mechanics Research Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0093-6413(84)90058-2

zbMATH Keywords

numerical solutionaxisymmetric bucklingshooting methodRunge-Kutta integrationsnap-throughtwo point boundary value problemuniform pressuredeflectionsmovablemembrane stressescritical loadingbifurcation pressureedge imperfectiongeometrically nonlinear spherical capsimmovable clamped edgesinfluence of flangessymmetrical buckling pressuretwo kinds of supporttwo nonlinear differential equations of Kármán-Marguerre typwithout active edge loads

Mathematics Subject Classification ID

Bifurcation and buckling (74G60) Membranes (74K15)

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