Numerical analysis of branched shapes of arches in bending
type: Item
instance of: scholarly article
zbMATH Open document ID: 1001.74069
author: L. I. Shkutin
publication date: 2001-12-13T00:00:00Z
Mathematics Subject Classification ID: 74K10
zbMATH DE Number: 1682320
zbMATH Keywords: shooting method
zbMATH Keywords: plane bending of an arch
zbMATH Keywords: clamped arch
zbMATH Keywords: simply supported arch
MaRDI profile type: Publication
title: Numerical analysis of branched shapes of arches in bending
published in: Prikladnaya Mekhanika i Tekhnicheskaya Fizika
review text: Nonlinear boundary-value problems of plane bending of elastic arches under a uniformly distributed load are solved by the shooting method. The problems are formulated for a system of six first-order ordinary differential equations with a finite-rotation field independent of displacements. Simply supported and clamped cases are considered. Branching solutions of the boundary-value problems are obtained. For a simply supported arch, a set of solutions describes symmetric and nonsymmetric shapes of bending, which correspond to positive, negative, and zero loads. For a clamped arch, the set of solutions consists of symmetric shapes that occur only for positive loads.
description: scientific article; zbMATH DE number 1682320