Improved minimal augmentation procedure for the direct computation of critical points
2003 (English)In: Computer Methods in Applied Mechanics and Engineering, ISSN 0045-7825, E-ISSN 1879-2138, Vol. 192, no 16-18, 2169-2185 p.Article in journal (Refereed) Published
This paper presents a new numerical procedure for the direct computation of critical points for elastic beam structures undergoing large displacements and rotations. Compared to the approach described by Wriggers et al. [Comput. Methods Appl. Mech. Engrg. 70 (1988) 329; Int. J. Numer. Methods Engrg. 30 (1990) 1551, two main modifications are introduced. First, following Eriksson [Comput. Methods Appl. Mech. Engrg. 114 (1994) 77; Comput. Methods Appl. Mech. Engrg. 156 (1998) 45; Comput. Methods Appl. Mech. Engrg. 179 (1999) 265; Int. J. Struct. Stability Dynam. l(l) (2001)], the condition of criticality is expressed by a scalar equation instead of a vectorial one. Next, the present procedure does not use exclusively the extended system obtained from the equilibrium equations and the criticality condition, but also introduces intermediate iterations based purely on equilibrium equations under load or displacement control, Eight numerical examples, presenting bifurcation and limit points, are used in order to compare the performances of this new method and the one presented in [Comput. Methods Appl. Mech. Engrg. 70 (1988) 329; Int. J. Numer. Methods Engrg. 30 (1990) 155].
Place, publisher, year, edition, pages
2003. Vol. 192, no 16-18, 2169-2185 p.
NON-LINEAR EQUATIONS, STRUCTURAL INSTABILITY, BIFURCATION POINTS, TURNING-POINTS, PATH
IdentifiersURN: urn:nbn:se:kth:diva-12811DOI: 10.1016/S0045-7825(03)00254-8ISI: 000182794800012OAI: oai:DiVA.org:kth-12811DiVA: diva2:318955
QC 201005122010-05-122010-05-122011-11-10Bibliographically approved