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AN EFFICIENT ALGORITHM FOR THE COMPUTATION OF STABILITY POINTS OF DYNAMICAL SYSTEMS UNDER STEP LOAD

P. WRIGGERS (Institut für Mechanik, TH Darmstadt, Hochschulstr. 1, D‐6100 Darmstadt, Germany)
C. CARSTENSEN (Institut für Angewandte Mathematik, Universität Hannover, Welfengarten 1, D‐3000 Hannover 1, Germany)

Engineering Computations

ISSN: 0264-4401

Publication date: 1 June 1992

Abstract

Many engineering structures exhibit loss of stability under static and dynamic loading. Due to the significance of these phenomena in engineering design this topic has attracted considerable attention during the last decades. In recent years much effort has been made to devise algorithms within finite element analysis to investigate the static stability behaviour of structures. With these methods stable and unstable paths can be traced, and limit or bifurcation points can be computed efficiently. The associated arc‐length or branch‐switching procedures are today standard tools in existing finite element codes.

Citation

WRIGGERS, P. and CARSTENSEN, C. (1992), "AN EFFICIENT ALGORITHM FOR THE COMPUTATION OF STABILITY POINTS OF DYNAMICAL SYSTEMS UNDER STEP LOAD", Engineering Computations, Vol. 9 No. 6, pp. 669-679. https://doi.org/10.1108/eb023890

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MCB UP Ltd

Copyright © 1992, MCB UP Limited

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