Asymptotic Solutions of the Von Karman Equations for a Circular Plate Under a Concentrated Load

DOI10.1115/1.3169048zbMath0569.73056OpenAlexW2034157819MaRDI QIDQ3686180

J. P. Frakes, James G. Simmonds

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1115/1.3169048

zbMATH Keywords

singular perturbation methodsMACSYMAsymbol manipulating programcomputed numericallyaxisymmetric von Kármán equationsboundary conditions of simple supportcentrally, point-loaded platedeflection-load power seriesdimensionless differential and integral formnine-term perturbation solutionPoisson's ratio to be one-thirdReissner's formrelative bending stiffnesssuccessive Aitken- Shanks' transformations

Mathematics Subject Classification ID

Plates (74K20)

Related Items (4)

Singularities and wrinkling: the case of a concentrated force ⋮ On shells of revolution with the Love-Kirchhoff hypotheses ⋮ On the convergence of the Chien's perturbation method for von Karman plate equations ⋮ Asymptotic analysis of the nonlinear equations for an infinite, rubber- like slab under an equilibrated vertical line load

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