USING EIGENVECTOR PROJECTIONS TO IMPROVE CONVERGENCE IN NON-LINEAR FINITE ELEMENT EQUILIBRIUM ITERATIONS.
1987 (English)In: International Journal for Numerical Methods in Engineering, ISSN 0029-5981, E-ISSN 1097-0207, Vol. 24, no 3, 497-512 p.Article in journal (Refereed) Published
In an earlier paper a method for calculation of non-linear structural response was described. A method for selective damping of solution components parallel to critical eigenvectors was proposed, reducing the risk for diverging equilibrium iterations. This method is, in the present paper, shown to be related to the 'dynamic relaxation' approach. The method has been further studied for practical problems, and especially adapted for the analysis of plate buckling. A method for variable damping is proposed, and compared to existing methods. The conclusions are that damping, based on eigenvector projection, is an efficient way to improve the stability in the iterations, and in this an alternative to other methods for choice of optimum corrections in N-R schemes. In the paper, suitable criteria for reformulation of the tangential relation during iterations in a step are also discussed.
Place, publisher, year, edition, pages
1987. Vol. 24, no 3, 497-512 p.
PLATES - Buckling, STRUCTURAL ANALYSIS, EIGENVECTOR, MATHEMATICAL TECHNIQUES
IdentifiersURN: urn:nbn:se:kth:diva-119568OAI: oai:DiVA.org:kth-119568DiVA: diva2:611579
Correspondence Address: Eriksson, Anders; Royal Inst of Technology, Stockholm, Swed, Royal Inst of Technology, Stockholm, Swed
NR 201408052013-03-182013-03-182013-03-18Bibliographically approved