On the problem of axisymmetrically loaded shells of revolution with small elastic strains and arbitrarily large axial deflections

DOI10.1007/BF01897055zbMath0584.73091OpenAlexW2054059384MaRDI QIDQ1069754

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/bf01897055

zbMATH Keywords

principle of minimum potential energy radial displacement weighted residual method generalized variational principle arbitrarily large axial deflections method of variable-characteristic nondimensionization small elastic strains angular deflection of tangent in the meridian axial displacement axisymmetrically loaded shells of revolution global coordinate system group of state variables identified Lagrange multiplier method meridional bending moment radial stress resultant system of first-order nonlinear differential equations

Mathematics Subject Classification ID

Membranes (74K15) Variational principles of physics (49S05)

Related Items (5)

General solution of the overall bending of flexible circular ring shells with moderately slender ratio and spplications to the bellows. III: Calculation for C-shaped bellows ⋮ General solution of the overall bending of flexible circular ring shells with moderately slender ratio and applications to the bellows. IV: Calculation for U-shaped bellows ⋮ Complex equations of flexible circular ring shells overall-bending in a meridian plane and general solution for the slender ring shells ⋮ Perturbation initial parameter method for solving the geometrical nonlinear problem of axisymmetrical shells ⋮ Application of non-homogeneous solution for equations of slender ring shells to overall-bending problem of Ω-shaped bellows

Cites Work

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