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On step size adjustments in structural continuation problems
KTH, School of Engineering Sciences (SCI), Mechanics, Structural Mechanics.ORCID iD: 0000-0002-5819-4544
1995 (English)In: Computers & structures, ISSN 0045-7949, E-ISSN 1879-2243, Vol. 55, no 3, 495-506 p.Article in journal (Refereed) Published
Abstract [en]

Procedures for automatic step size control in non-linear structural equilibrium analyses are discussed. Some algorithms found in the literature are briefly described and compared. The main emphasis is given to the development of criteria for detecting the need for a change of the step size as early as possible. Hence, the size of the increment is controlled during the corrector phase. Two possible procedures for this are developed and compared. Both reduce the step size in highly curved parts of an equilibrium path. The performance of the proposed algorithm is demonstrated in some numerical examples, including both geometrical and material non-linearities. The conclusions are that a procedure for reduction of the step size within the step can give improved possibilities for convergence in the iterations. The need for suitable scaling of used variables in any continuation algorithm is also emphasized. © 1995.

Place, publisher, year, edition, pages
1995. Vol. 55, no 3, 495-506 p.
Keyword [en]
Algorithms, Convergence of numerical methods, Geometry, Iterative methods, Performance, Arc length control, Corrector phase, Geometrical/material nonlinearities, Step size adjustments, Structural continuation problems, Structural analysis
National Category
Applied Mechanics
URN: urn:nbn:se:kth:diva-119560OAI: diva2:611588

Correspondence Address: Eriksson, A.; Department of Structural Engineering, Structural Mechanics Group, Royal Institute of Technology, S-10044 Stockholm, Sweden

NR 20140805Available from: 2013-03-18 Created: 2013-03-18 Last updated: 2013-03-18Bibliographically approved

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