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On accurate descriptions for primary and secondary paths in equilibrium problems
KTH, School of Engineering Sciences (SCI), Mechanics, Structural Mechanics.ORCID iD: 0000-0002-5819-4544
1992 (English)In: Computers & structures, ISSN 0045-7949, E-ISSN 1879-2243, Vol. 44, no 1-2, 229-242 p.Article in journal (Refereed) Published
Abstract [en]

The paper describes how several procedures, based on ideas and expressions from the analytical elastic stability theory, have been introduced as numerical tools in a general finite element program for geometrically non-linear structural analysis. Derivatives of the tangential stiffness matrix are utilized for improved predictions in the step-wise solution of equilibrium states, for identification of critical points and for accurate descriptions of initial post-bifurcation behaviour. The methods are used in a general solution algorithm, based on a parameterizing component formulation. For some element types, analytical expressions for these derivatives can be developed. The corresponding numerical approximations, needed in other element types, are also discussed. Other practical details in the numerical implementation are given. Two numerical frame examples, showing different types of limit and bifurcation behaviours, are used to discuss the numerical properties of the methods. © 1992.

Place, publisher, year, edition, pages
1992. Vol. 44, no 1-2, 229-242 p.
Keyword [en]
Algorithms, Computer programming, Finite element method, Mathematical models, Numerical methods, Bifurcation behaviour, Elastic stability theory, Equilibrium problems, Structural analysis
National Category
Applied Mechanics
URN: urn:nbn:se:kth:diva-119563OAI: diva2:611584

Correspondence Address: Eriksson, A.; Department of Structural Engineering, Royal Institute of Technology, S-100 44 Stockholm, Sweden

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

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