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A geometrically exact beam model with non-uniform warping coherently derived from the Saint Venant rod
Abstract A new geometrically nonlinear model for homogeneous and isotropic beams with generic section including non-uniform warping due to torsion and shear is derived. Each section is endowed with a corotational frame where statics and kinematics are described using a 3D linear elastic model which extends the Saint-Venant solution to non-uniform warping cases. The algebra of change of observer and a mixed variational principle give the model in terms of generalized parameters. Using a mixed interpolation the model is implemented within a FEM Koiter analysis highly sensitive to the geometrical coherence of the formulation.
A geometrically exact beam model with non-uniform warping coherently derived from the Saint Venant rod
Abstract A new geometrically nonlinear model for homogeneous and isotropic beams with generic section including non-uniform warping due to torsion and shear is derived. Each section is endowed with a corotational frame where statics and kinematics are described using a 3D linear elastic model which extends the Saint-Venant solution to non-uniform warping cases. The algebra of change of observer and a mixed variational principle give the model in terms of generalized parameters. Using a mixed interpolation the model is implemented within a FEM Koiter analysis highly sensitive to the geometrical coherence of the formulation.
A geometrically exact beam model with non-uniform warping coherently derived from the Saint Venant rod
Genoese, Andrea (Autor:in) / Genoese, Alessandra (Autor:in) / Bilotta, Antonio (Autor:in) / Garcea, Giovanni (Autor:in)
Engineering Structures ; 68 ; 33-46
24.02.2014
14 pages
Aufsatz (Zeitschrift)
Elektronische Ressource
Englisch
| Springer Verlag | 2019
Saint-Venant torsion of open-section members of uniform thickness
| British Library Online Contents | 2011