Rodrigo Gonçalves
Associate Professor, Civil Engineering Department
rodrigo.goncalves@fct.unl.pt (email)
rodrigo.goncalves@fct.unl.pt (email)
Publications
Examples
Cross-section stress calculator including bi-axial shear, bi-moment and bi-shear (programmed by Tomás Silveira)
Collapse analysis of an L-frame using geometrically exact beam finite elements
The pre- and post-collapse behaviour of the frame is accurately calculated using geometrically exact beam elements with warping transmission. Residual stresses and member imperfections are taken into consideration. (more details in the 2009 Steel and Steel-Concrete Composite Construction Conference paper).
Lateral-torsional buckling of a channel cantilever beam
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The cantilever is subjected to a tip load at the flange/web junction. Only eight geometrically exact beam finite elements were employed, which allow for cross-section warping, distortion and plate-like bending. This visualization shows several deformed configurations, each associated with a different load level. A comparison with the results obtained with MITC shell finite elements (not shown) demonstrates that the proposed beam finite element leads to extremely accurate results for large displacements and finite rotations combined with severe cross-section distortion. (more details in the CMAME paper in 2010). |
Extension of a helical beam
The helical beam is modelled using 16 equal length cubic curved geometrically exact Kirchhoff beam elements. (taken from the Master thesis of David Manta, 2015)
Torsional buckling of regular convex polygonal tubes
Regular polygonal tubes have double eigenmodes. The torsional buckling mode corresponds to a helix in the 2D eigenmode space. This fact can only be observed through GBT-based analyses. (more details in the TWS paper in 2013)
Steel-concrete composite bridge
Top: first GBT cross-section deformation modes: (1) axial extension, (2) major axis bending, (3) minor axis bending, (4) torsion, (5) distortion, (6-7) diaphragm induced symmetric and anti-symmetric distortion. Right: deformed configurations (x1E5) of a simply supported bridge without/with diaphragms at mid-span, subjected to an eccentric 1 kN force (only half of the bridge is shown). The GBT results were obtained with 3 beam finite elements. (more details in the SCS paper in 2010) |
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