A platform for research: civil engineering, architecture and urbanism
A platform for research: civil engineering, architecture and urbanism
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 (author) / Genoese, Alessandra (author) / Bilotta, Antonio (author) / Garcea, Giovanni (author)
Engineering Structures ; 68 ; 33-46
2014-02-24
14 pages
Article (Journal)
Electronic Resource
English
| Springer Verlag | 2019
Saint-Venant torsion of open-section members of uniform thickness
| British Library Online Contents | 2011