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05.39: GBT‐based Finite Element formulation for elastic buckling analysis of conical shells
Author(s) -
Nedelcu Mihai,
Mureşan AdinaAna
Publication year - 2017
Publication title -
ce/papers
Language(s) - English
Resource type - Journals
ISSN - 2509-7075
DOI - 10.1002/cepa.180
Subject(s) - conical surface , buckling , finite element method , bar (unit) , structural engineering , shell (structure) , boundary value problem , geometry , constant (computer programming) , compression (physics) , materials science , engineering , mathematics , physics , mathematical analysis , composite material , computer science , meteorology , programming language
The paper presents a finite element formulation based on the Generalised Beam Theory (GBT), for the analysis of elastic buckling behaviour of conical shells under various loading and boundary conditions. The GBT approach provides a general solution for 1 st and 2 nd order analysis using bar elements capable of describing the global and local deformations. Because of the cross‐section variation specific to conical shells, the mechanical and geometric properties are no longer constant along the bar axis as it is the case of cylinders and prismatic thin‐walled structures. This formulation is validated by comparison between GBT results and values obtained by means of shell finite element analyses. The study covers simply supported and end fixed members, under axial compression.