ON SOME PATH-RELATED MEASURES FOR NON-LINEAR STRUCTURAL F. E. PROBLEMS.
1988 (English)In: International Journal for Numerical Methods in Engineering, ISSN 0029-5981, E-ISSN 1097-0207, Vol. 26, no 8, 1791-1803 p.Article in journal (Refereed) Published
In the paper, the solution of a non-linear structural mechanical problem is seen as a set of points along a curve in the displacement space, resulting from a continuous variation of a load parameter. The state of the structure at a specified point on the path is described by a tangent vector describing the response to a small load factor increment. For a completed, finite step, the deviation from this tangent response is described by a suggested measure. From this measure, some conclusions can be drawn concerning the iteration behavior, guiding the iteration strategy in coming steps. Two path-related stiffness measures are derived, giving information concerning the behavior of the structure. Some conclusions concerning limit load points, bifurcations, etc. can be drawn from these measures.
Place, publisher, year, edition, pages
1988. Vol. 26, no 8, 1791-1803 p.
DOMES AND SHELLS, STRESSES, STRUCTURAL ANALYSIS, LOAD FACTOR, PATH-RELATED STIFFNESS, MATHEMATICAL TECHNIQUES
IdentifiersURN: urn:nbn:se:kth:diva-117955OAI: oai:DiVA.org:kth-117955DiVA: diva2:603963
Correspondence Address: Eriksson, Anders; Royal Inst of Technology, Stockholm, Swed, Royal Inst of Technology, Stockholm, Swed
NR 201408052013-02-072013-02-072013-02-07Bibliographically approved