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Finite element asymptotic analysis of slender elastic structures: A simple approach
Author(s) -
Casciaro R.,
Salerno G.,
Lanzo A. D.
Publication year - 1992
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620350703
Subject(s) - finite element method , extrapolation , truss , simple (philosophy) , numerical analysis , mathematics , buckling , mixed finite element method , extended finite element method , mathematical optimization , computer science , mathematical analysis , structural engineering , engineering , philosophy , epistemology
An asymptotic method directly derived from Koiter's theory and suitable for the solution of elastic buckling problems and its natural adaptation to a numerical solution by means of a finite element technique are presented here. The order of the extrapolation of the equilibrium equations has been intentionally kept very low because attention has been entirely devoted to all those features (theoretical definitions, eigenproblem numerical techniques, suitable FEM implementation) which make such an approach competitive with respect to the classic step‐by‐step methods. For plane frames and 3D pin‐jointed trusses, the performances of the algorithm (numerical accuracy and computational cost) are compared with those of Riks' are‐length method.