Integral equation method for conical shell under axisymmetric loads
type: Item
instance of: scholarly article
zbMATH Open document ID: 1020.74044
publication date: 2003-10-09T00:00:00Z
Mathematics Subject Classification ID: 74S15
Mathematics Subject Classification ID: 74K25
zbMATH DE Number: 1683646
zbMATH Keywords: integral equation method
zbMATH Keywords: conical shell
zbMATH Keywords: axisymmetric loads
zbMATH Keywords: weight function
zbMATH Keywords: Green's function
zbMATH Keywords: boundary conditions
zbMATH Keywords: internal forces
zbMATH Keywords: moments
zbMATH Keywords: displacements
zbMATH Keywords: constant thickness
zbMATH Keywords: piecewise linearly varying thickness
MaRDI profile type: Publication
author: A. Harb
title: Integral equation method for conical shell under axisymmetric loads
review text: The paper is concerned with the development of integral equation method for the analysis of a conical shell under axisymmetric loads. The governing equations of the shell are two ordinary differential equations. These equations are normalized by eliminating their first derivatives, and then multiplied by a weight function selected as a Green's function. Finally, they are repeatedly integrated by parts until their differential operator is shifted from state variables to the weight function. Consequently, the differential equations are transformed into a set of integral equations. To complete the analysis, an effort is made to insert various boundary conditions for the shell into the kernels of integral equations, and to expess internal forces, moments and displacements of the shell in terms of state variables. Two different type of constructions are used for the shell: one has a constant thickness, and the other has a piecewise linearly varying thickness.NEWLINENEWLINEFor the entire collection see [Zbl 0970.00025].
reviewed by: Jan Sladek
description: scientific article; zbMATH DE number 1683646