On the use of a segmental shooting technique for multiple solutions of planar elastica problems
type: Item
instance of: scholarly article
title: On the use of a segmental shooting technique for multiple solutions of planar elastica problems
zbMATH Open document ID: 0847.73073
DOI: 10.1016/0045-7825(93)90162-Q
author: Yanyan Li
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 1996-10-20T00:00:00Z
review text: The solution of the nonlinear equation of equilibrium for plane elastica problems is avoided by using a segmental shooting technique. In this procedure, the rod is divided into a series of segments, with each one undergoing only small deformations. The segments can be loaded in various manners and solved individually. Geometric and force compatibility is used to assemble the segments to allow analysis of the entire rod. The original boundary value problem is then solved by considering a sequence of initial value problems which converge to the required boundary conditions using the shooting technique. The procedure is applied to cantilevers and semi-circular arches to illustrate the technique.
Mathematics Subject Classification ID: 74S30
Mathematics Subject Classification ID: 74K10
zbMATH DE Number: 873998
zbMATH Keywords: convergence
zbMATH Keywords: boundary value problem
zbMATH Keywords: sequence of initial value problems
zbMATH Keywords: cantilevers
zbMATH Keywords: semi-circular arches
MaRDI profile type: Publication
cites work: Q5844404
cites work: A unilateral contact problem with the heavy elastica
cites work: Q5327784
cites work: Generalized shooting method for elastic stability analysis and optimization of structural members
cites work: Q3256719
cites work: Stability and equilibrium of the straight and curved elastica-finite element computation
cites work: Q3765332
full work available at URL: 0045-7825(93)90162-q
OpenAlex ID: W1995861539
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description: scientific article; zbMATH DE number 873998