Perturbation initial parameter method for solving the geometrical nonlinear problem of axisymmetrical shells
type: Item
instance of: scholarly article
title: Perturbation initial parameter method for solving the geometrical nonlinear problem of axisymmetrical shells
zbMATH Open document ID: 0625.73071
DOI: 10.1007/BF01899556
author: Chien Hwang
published in: Applied Mathematics and Mechanics. (English Edition)
publication date: 1986-01-01T00:00:00Z
review text: In a previous paper [ibid. 7, 125-137 (1986; Zbl 0584.73091)], the author presents a system of first-order differential equations for the problem of axi-symmetrically loaded shells of revolution with small elastic, strains and arbitrarily large axial deflections, and a method of variable-characteristic nondimensionization with a scale of load parameters. On this basis, by taking the weighted root-mean-square deviation of angular deflection from linearity as perturbation parameter, this paper presents a perturbation system of nondimensional differential equations for the problem, thus transforms the geometrical nonlinear problem into several linear problems. This paper calculates these linear problems by means of the initial parameter method of numerical integration. The numerical results agree quite well with the experiments.
Mathematics Subject Classification ID: 74K15
Mathematics Subject Classification ID: 74B20
Mathematics Subject Classification ID: 34E10
zbMATH DE Number: 4016349
zbMATH Keywords: system of first-order differential equations
zbMATH Keywords: axi-symmetrically loaded shells of revolution
zbMATH Keywords: small elastic, strains
zbMATH Keywords: arbitrarily large axial deflections
zbMATH Keywords: method of variable-characteristic nondimensionization
zbMATH Keywords: perturbation system of nondimensional differential equations
zbMATH Keywords: geometrical nonlinear problem
zbMATH Keywords: several linear problems
zbMATH Keywords: initial parameter method of numerical integration
MaRDI profile type: Publication
cites work: A new approach to the analysis of shells, plates and membranes with finite deflections
cites work: Calculation of stresses and deformations of bellows by initial parameter method of numerical integration
cites work: Q5803623
cites work: On the problem of axisymmetrically loaded shells of revolution with small elastic strains and arbitrarily large axial deflections
description: scientific article; zbMATH DE number 4016349