Axisymmetric postbuckling of orthotropic thick annular plates

DOI10.1007/BF01177120zbMath0571.73046OpenAlexW4232623917MaRDI QIDQ1061539

P. C. Dumir, L. Shingal

Publication date: 1985

Published in: Acta Mechanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01177120

zbMATH Keywords

edge conditionsnonlinear differential equationsorthogonal point collocation methodbuckling loadslinear eigenvalue problemstress functionfree holediscretized equationspolynomial expansionsgoverning differential equationsshear rotationtransverse displacementannular ratioclamped and simply supported platescylindrically orthotropic thick annular platesdifferent central deflectionseffect of thickness ratiogeometrically nonlinear postbuckling responseinplane radial compressive load at the outer edgeinverse iterationsorthotropic parameterplugged hole

Mathematics Subject Classification ID

Plates (74K20) Bifurcation and buckling (74G60)

Related Items

Dynamic stability of three-layered annular plates with wavy forms of buckling ⋮ Analysis of post buckling behavior of circular plates with non-concentric hole using the Rayleigh-Ritz method ⋮ The postbuckling analysis of laminated circular plate with elliptic delamination ⋮ Axisymmetric buckling of transversely isotropic circular and annular plates ⋮ Analytical buckling solutions for circular Mindlin plates: Inclusion of inplane prebuckling deformation

Cites Work

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• Axisymmetric static and dynamic buckling of orthotropic shallow spherical caps with flexible supports
• Nonlinear axisymmetric bending of annular plates with varying thickness
• On post-buckling of orthotropic annular plates