The perturbation parameter in the problem of large deflection of clamped circular plates

DOI10.1007/BF02432056zbMath0628.73047OpenAlexW1969894257MaRDI QIDQ1093412

Jichang Kuang, Shan-lin Chen

Publication date: 1981

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02432056

zbMATH Keywords

large deflectionmembrane forceuniformly loadedclamped circular platesuniformly distributed loadsslope of deflectionvarious perturbation parameters

Mathematics Subject Classification ID

Related Items (15)

Analytic Solutions of Von Kármán Plate under Arbitrary Uniform Pressure — Equations in Differential Form ⋮ Determination of the perturbation parameter in large deflection of plates and shallow shells by means of the least squares method ⋮ Finding high-order solutions of Chien's perturbation method to study convergence by computer ⋮ On exact solution of Kármán's equations of rigid clamped circular plate and shallow spherical shell under a concentrated load ⋮ Application of biparametric perturbation method to functionally graded thin plates with different moduli in tension and compression ⋮ Nonlinear large deformation problem of rectangular thin plates and its perturbation solution under cylindrical bending: Transform from plate/membrane to beam/cable ⋮ Dependence of axisymmetric bending of a circular plate on boundary conditions and pressure on its surface ⋮ Chien's solution and its asymptotic behavior in large deflection of circular plates ⋮ On the effect of average pressure on a nonlinear boundary value problem for a circular plate ⋮ Application of a biparametric perturbation method to large-deflection circular plate problems with a bimodular effect under combined loads ⋮ A biparametric perturbation method for the Föppl-von Kármán equations of bimodular thin plates ⋮ The large deflection problem of circular thin plate with variable thickness under uniformly distributed loads ⋮ Large deflection of circular plate under compound load ⋮ On relations between the modified-iterative method and Chien's perturbation solution ⋮ The relation between the von Kármán equation for the elastic large deflection problem and the Schrödinger equation for the quantum eigenvalues problem

Cites Work

• A new approach to the analysis of shells, plates and membranes with finite deflections
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