Perturbation initial parameter method for solving the geometrical nonlinear problem of axisymmetrical shells

DOI10.1007/BF01899556zbMath0625.73071MaRDI QIDQ580019

Chien Hwang

Publication date: 1986

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

zbMATH Keywords

arbitrarily large axial deflectionsaxi-symmetrically loaded shells of revolutiongeometrical nonlinear probleminitial parameter method of numerical integrationmethod of variable-characteristic nondimensionizationperturbation system of nondimensional differential equationsseveral linear problemssmall elastic, strainssystem of first-order differential equations

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Membranes (74K15) Perturbations, asymptotics of solutions to ordinary differential equations (34E10)

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 ⋮ Finite element displacement perturbation method for geometric nonlinear behaviors of shells of revolution overall bending in a meridional plane and application to bellows. I. ⋮ Complex equations of flexible circular ring shells overall-bending in a meridian plane and general solution for the slender ring shells ⋮ General solution for \(U\)-shaped bellows overall-bending problems

Cites Work

• Unnamed Item
• On the problem of axisymmetrically loaded shells of revolution with small elastic strains and arbitrarily large axial deflections
• Calculation of stresses and deformations of bellows by initial parameter method of numerical integration
• A new approach to the analysis of shells, plates and membranes with finite deflections

This page was built for publication: Perturbation initial parameter method for solving the geometrical nonlinear problem of axisymmetrical shells