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Finite element method applied to the problem of stability of a non‐conservative system
Author(s) -
Barsoum Roshdy S.
Publication year - 1971
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.1620030110
Subject(s) - flutter , finite element method , instability , buckling , stability (learning theory) , convergence (economics) , mixed finite element method , mathematics , element (criminal law) , extended finite element method , finite element limit analysis , smoothed finite element method , structural engineering , mathematical analysis , mathematical optimization , computer science , engineering , boundary knot method , mechanics , physics , machine learning , boundary element method , law , political science , economics , aerodynamics , economic growth
The finite element method is applied to the stability analysis of structural systems subject to non‐conservative forces. The development of the method is general, but the specific application considered here is the stability of thin‐walled members subject to follower forces. The method predicts the type of instability, whether it be buckling or flutter. Example problems, for which exact solutions are known, illustrate the accuracy and convergence characteristic of the finite element formulation.