Global, direct algorithm for path-following and active static control of elastic bar structures

G. Domokos, Zs Gaspar

Research output: Contribution to journalArticle

23 Citations (Scopus)

Abstract

A method is presented by means of which the equilibrium path of any elastic bar structure may be traced globally, without applying iteration techniques. The basic idea is that the bar structure is reduced to a set of Initial Value Problems (IVPs) with parameters, and the equilibrium path is piecewise linearly interpolated in the parameter space. The way in which this method is capable of handling problems of active static control is demonstrated. The mathematical basis of this type of method is described by Allgower and Georg [1] as the Piecewise Linear (PL) algorithm. Here it is shown how this algorithm can be applied to problems in structural mechanics.

Original languageEnglish
Pages (from-to)549-571
Number of pages23
JournalMechanics of Structures and Machines
Volume23
Issue number4
Publication statusPublished - Nov 1995

Fingerprint

elastic bars
Path Following
Initial value problems
boundary value problems
iteration
Structural Mechanics
Mechanics
Path
Linear Algorithm
Piecewise Linear
Initial Value Problem
Parameter Space
Linearly
Iteration

ASJC Scopus subject areas

  • Engineering(all)

Cite this

Global, direct algorithm for path-following and active static control of elastic bar structures. / Domokos, G.; Gaspar, Zs.

In: Mechanics of Structures and Machines, Vol. 23, No. 4, 11.1995, p. 549-571.

Research output: Contribution to journalArticle

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