A geometrically exact nonlinear finite element for composite closed section thin-walled beams

A geometrically nonlinear beam finite element for composite closed section thin-walled beams considering arbitrary displacements and rotations is presented. The virtual work equations are written as a function of nine generalized strain components, which are parametrized in terms of the director fie...

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Bibliographic Details
Published in:Computers & structures 2011-12, Vol.89 (23), p.2337-2351
Main Authors: Martín Saravia, C., Machado, Sebastián P., Cortínez, Víctor H.
Format: Article
Language:English
Subjects:
Beam
Beams (structural)
Closed
Composite
Derivatives
Exact sciences and technology
Finite
Finite element method
Fundamental areas of phenomenology (including applications)
Mathematical analysis
Nonlinearity
Physics
Rotations
Shells
Solid mechanics
Static elasticity (thermoelasticity...)
Structural and continuum mechanics
Thin walled
Wind turbines
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Summary:A geometrically nonlinear beam finite element for composite closed section thin-walled beams considering arbitrary displacements and rotations is presented. The virtual work equations are written as a function of nine generalized strain components, which are parametrized in terms of the director field and its derivatives. The presented finite element is valid for both isotropic and anisotropic materials. The proposed approach could be attractive to be used in optimization problems of composite thin-walled beams with finite deformation such as helicopter rotor blades and wind turbine blades. It is shown that the proposed formulation has an excellent correlation against shell finite elements.
ISSN:0045-7949
1879-2243
DOI:10.1016/j.compstruc.2011.07.009