Chien's solution and its asymptotic behavior in large deflection of circular plates

DOI10.1007/BF01908230zbMath0499.73037MaRDI QIDQ1171917

Shan-lin Chen

Publication date: 1982

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

zbMATH Keywords

asymptotic behaviorlarge deflectioncircular platesexamplesconcentrated loaduniform loadgeneral treatmentresidual values

Mathematics Subject Classification ID

Newton-type methods (49M15) Plates (74K20) Asymptotics of solutions to integral equations (45M05)

Related Items (5)

Determination of the perturbation parameter in large deflection of plates and shallow shells by means of the least squares method ⋮ The method of mixed boundary condition for linear and nonlinear composite structures ⋮ The large deflection problem of a circular plate on an elastic foundation and bonded to a linear elastic structure ⋮ Finding high-order solutions of Chien's perturbation method to study convergence by computer ⋮ On the convergence of the Chien's perturbation method for von Karman plate equations

Cites Work

• Elastic behavior of uniformly loaded circular corrugated plate with sine- shaped shallow waves in large deflection
• The perturbation parameter in the problem of large deflection of clamped circular plates

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