Finding high-order solutions of Chien's perturbation method to study convergence by computer

DOI10.1007/BF01898220zbMath0659.73061OpenAlexW2067176101MaRDI QIDQ1112651

Kai-Yuan Yeh, You He Zhou

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1007/bf01898220

zbMATH Keywords

integral equationconcentrated loadasymptotical proprtiescentral deflectioncircular thin plateconvergence criterion for series expansionn-th order perturbation solution

Mathematics Subject Classification ID

Plates (74K20) Asymptotics of solutions to integral equations (45M05)

Related Items (4)

On the convergence of the Chien's perturbation method for von Karman plate equations ⋮ Nonlinear large deformation problem of rectangular thin plates and its perturbation solution under cylindrical bending: Transform from plate/membrane to beam/cable ⋮ A biparametric perturbation method for the Föppl-von Kármán equations of bimodular thin plates ⋮ On relations between the modified-iterative method and Chien's perturbation solution

Cites Work

• The perturbation parameter in the problem of large deflection of clamped circular plates
• Chien's solution and its asymptotic behavior in large deflection of circular plates
• A new approach to the analysis of shells, plates and membranes with finite deflections
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