Using symbolic computation in buckling analysis
type: Item
instance of: scholarly article
title: Using symbolic computation in buckling analysis
zbMATH Open document ID: 0592.73055
DOI: 10.1016/S0747-7171(85)80039-0
author: Amabile Tatone
author: N. Rizzi
published in: Journal of Symbolic Computation
publication date: 1985-01-01T00:00:00Z
review text: Asymptotic buckling analysis of elastic structures can be considered a well established procedure. It consists in bifurcation analysis of a system of one-parameter differential equations: balance, compatibility and constitutive equations. The aim of this work was to experiment with the use of automatic symbolic computation in the asymptotic bifurcation analysis of elastic beams. To this end an application of the system REDUCE has been devised in particular for (a) the generation of the formal perturbation equations and (b) the construction of a procedure for solving a specific problem.
Mathematics Subject Classification ID: 74G60
Mathematics Subject Classification ID: 74K10
Mathematics Subject Classification ID: 68W30
zbMATH DE Number: 3952137
zbMATH Keywords: Asymptotic buckling
zbMATH Keywords: elastic structures
zbMATH Keywords: bifurcation
zbMATH Keywords: one-parameter differential equations
zbMATH Keywords: balance
zbMATH Keywords: compatibility
zbMATH Keywords: constitutive equations
zbMATH Keywords: automatic symbolic computation
zbMATH Keywords: elastic beams
zbMATH Keywords: system REDUCE
describes a project that uses: REDUCE
MaRDI profile type: Publication
cites work: Q5555601
cites work: Applications of symbol manipulation in theoretical physics
cites work: Computerized symbolic manipulation in structural mechanics—Progress and potential
cites work: Symbolic manipulation in buckling and postbuckling analysis
description: scientific article; zbMATH DE number 3952137