Nonlinear stability analysis of structures under multiple parameter loads

An extended set of equations is formulated. The set is a combination of incremental FEM equations, constraint equations and an augmented equation corresponding to the computation of the critical zone on the fundamental equilibrium surface. The stability determinant or load program are used to formul...

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Bibliographic Details
Published in:Engineering computations 1988-01, Vol.5 (1), p.10-14
Main Authors: Waszczyszyn, Zenon, Cicho, Czestaw
Format: Article
Language:English
Online Access:Get full text
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Summary:An extended set of equations is formulated. The set is a combination of incremental FEM equations, constraint equations and an augmented equation corresponding to the computation of the critical zone on the fundamental equilibrium surface. The stability determinant or load program are used to formulate the augmented equation. An approximate method for computation of contour lines on the stability boundary is presented. The computation was performed for an elastic, circular, plane arch loaded by three independent concentrated forces. For data taken from Plant the stability boundary surface is convex towards the region of existence.
ISSN:0264-4401
DOI:10.1108/eb023715