Rodrigo Gonçalves
Associate Professor, Civil Engineering Department
rodrigo.goncalves@fct.unl.pt (email)
Research
Areas of interest
- Steel and steel-concrete composite structures
- Structural stability
- Thin-walled beams
- Generalised Beam Theory
- Geometrically exact beam theories
Awards
- 2019 Vinnakota award (Structural Stability Research Council), for the paper "Local buckling of RHS members with small-to-large corner radii subject to combinations of axial force and biaxial bending”, authored by the student L. Vieira (recipient of the award) and his supervisors, Rodrigo Gonçalves and Dinar Camotim.
- First place of the 2017 McGuire Award for Junior Researchers Medal Competition, awarded by the Structural Stability Research Council (SSRC), for contributions to structural stability research after obtaining the PhD degree.
- Honorable Mention of the 2016 McGuire Award for Junior Researchers Medal Competition, awarded by the Structural Stability Research Council (SSRC).
- First place in the 2013 Ferry Borges competition category A (best paper published in 2010-12, in the field of Structural Engineering), for the paper “A large displacement and finite rotation thin-walled beam formulation including cross-section deformation”, published in Computer Methods in Applied Mechanics and Engineering in 2010. Awarded by the Portuguese Association of Structural Engineering (APEE), LNEC and the Portuguese Order of Engineers.
- Honorable Mention of the 2013 Ferry Borges competition category A, for the paper “A geometrically exact approach to lateral-torsional buckling of thin-walled beams with deformable cross-section”, published in Computers & Structures in 2012.
- Honorable Mention of the 2012 Vinnakota award (Structural Stability Research Council), for the paper "GBT-Based assessment of the buckling behavior of cold-formed steel purlins restrained by sheeting”, authored by the student A. Graça (recipient of the award), C. Basaglia and the supervisors of the recipient, Dinar Camotim and Rodrigo Gonçalves.
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
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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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Book chapters and articles in Journals: see "Publications".
Articles in Proceedings (in the last 10 years only)
International
2. Garcea, G., Gonçalves, R., Bilotta, A., Manta, D., Bebiano, R., Leonetti, L., Magisano, D., Camotim, D., “Thin-walled member linear and buckling analysis: a comparison between GBT and GE”, CD-Rom Proceedings of the 8th International Conference on Advances in Steel Structures (Lisbon, Portugal, July 22-24), paper 82, 2015.
3. Gonçalves, R., Peres, N., Bebiano, R., Camotim, D., “Global-local-distortional vibration of thin-walled rectangular multi-cell beams”, CD-Rom Proceedings of IJSSD Symposium on Progress in Structural Stability and Dynamics (Lisbon, Portugal, July 22-24), paper 216, 2015.
4. Bebiano, R., Basaglia, C., Camotim, D., Gonçalves, R., “GBT Buckling Analysis of Generally Loaded Thin-Walled Members Exhibiting Arbitrary Flat-Walled Cross-Sections”, USB Key Drive Proceedings of the SSRC 2015 Annual Stability Conference (Nashville, Tennessee, March 24-27), 2015.
5. Bebiano, R., Camotim, D., Gonçalves, R., “GBTUL 2.0 − A new/improved version of the GBT-based code for the Buckling Analysis of Cold-Formed Steel Members”, Proceedings of the 22nd International Specialty Conference on Cold-Formed Steel Structures (St. Louis, November 5-6), 2014.
6. Henriques, D., Gonçalves, R., Camotim, D., “Non-linear analysis of steel-concrete beams using Generalized Beam Theory”, Proceedings of 11th World Congress on Computational Mechanics (WCCM XI - Barcelona, Spain), E. Oñate, J. Oliver, A. Huerta (Eds.), pp. 130-141 (Tomo II), 2014.
7. Gonçalves, R., Camotim, D., “GBT vibration analysis of thin-walled regular polygonal tubes”, Proceedings of the 11th International Conference on Vibration Problems (Lisbon, Portugal, 9-12 September), Z. Dimitrovová, J. R. Almeida, R. Gonçalves (Eds.), p. 94, 2013.
8. Bebiano, R., Camotim, D., Gonçalves, R., “Local and global vibration analysis of thin-walled members subjected to internal forces – application of Generalised Beam Theory”, Proceedings of the 11th International Conference on Vibration Problems (Lisbon, Portugal, 9-12 September), Z. Dimitrovová, J. R. Almeida, R. Gonçalves (Eds.), p. 99 (full paper in USB Drive), 2013.
9. Bebiano, R., Gonçalves, R., Camotim, D., “A novel cross-section analysis to improve the GBT assessment of the buckling behavior of arbitrary thin-walled members”, USB Key Drive Abstracts of the 2013 ASCE Engineering Mechanics Institute Conference (Evanston, Chicago, Illinois, USA, 4-7 August), Abstract 238, 2013.
10. Gonçalves, R., Camotim, D., “Elastoplastic collapse analysis of thin-walled beams using Generalized Beam Theory”, Book of Abstracts of the 2012 European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS, Vienna, Austria, 10-14 September), p. 351, 2012.
11. Gonçalves, R., Patrício, T., Camotim, D., “GBT buckling analysis of thin-walled steel tubular members with regular polygonal cross-sections”, Tubular Structures XIV, L. Gardner (Ed.), Taylor and Francis, ISBN 978-0-415-62137-3 (Proceedings of the 14th Int. Symposium on Tubular Structures, ISTS, London, UK, 12-14 September), pp. 713-719, 2012.
12. Graça, A., Basaglia, C., Camotim, D., Gonçalves, R., “GBT-Based assessment of the buckling behavior of cold-formed steel purlins restrained by sheeting”, USB Key Drive Proceedings of the SSRC 2012 Annual Stability Conference (Grapevine, Texas, USA, 17-21 April), 2012.
13. Camotim, D., Basaglia, C., Bebiano, R., Gonçalves, R., Silvestre, N., “Latest developments in the GBT analysis of thin-walled steel structures”, Keynote Lecture, Proceedings of the Int. Colloquium on Stability and Ductility of Steel Structures (SDSS’Rio 2010, Rio de Janeiro, Brazil, 8-10 September), E. Batista, P. Vellasco, L. Lima (Eds.), pp. 33-58 (Vol.1), 2010.
14. Ritto-Corrêa, M., Gonçalves, R., Camotim, D., “On the Application of the Geometrically Exact Beam Theory to Tapered Members”, Book of Abstracts of the 7th EuroMech Solid Mechanics Conference (IST, Lisbon, Portugal, 7-11 September), J. Ambrósio, M. Silva (Eds.), pp. 685-686, 2009.
15. Gonçalves, R., Camotim, D., Ritto-Corrêa, M., “Local and global buckling and post-buckling analysis of thin-walled beams using enhanced beam finite elements”, Proceedings of the 12th International Conference on Civil, Structural and Environmental Engineering Computing (Funchal, Portugal, 1-4 September), B. Topping, L. Neves, R. Barros (Eds.), paper 24 (full paper in CD-Rom), 2009.
16. Gonçalves, R., Camotim, D., “Steel-Concrete composite beam analysis using Generalised Beam Theory”, Proceedings of the 9th Int. Conference on Steel Concrete Composite and Hybrid Structures (ASCCS 2009, Leeds, UK, 8-10 July), D. Lam (Ed.), pp. 657-662, 2009.( )
17. Gonçalves, R., Dinis, P., Camotim, D., “Distortional buckling formulae for hollow-flange channel thin-walled beams”, Inaugural International Conference of the Engineering Mechanics Institute (Minneapolis, Minnesota, EUA), pp. 75-84, 2008.
18. Gonçalves, R., Camotim, D., Ritto-Corrêa, M., “Steel and composite bridge analysis using generalized beam theory”, Steel Bridges – Advanced Solutions & Technologies (Proceedings of the 7th International Conference on Steel Bridges, Guimarães, Portugal, 4-6 July), P. Cruz, L. S. da Silva, F. Schröter (Eds.), ECCS, pp. 377-389, 2008.
19. Dinis, P., Gonçalves, R., Camotim, D., “On the local and global buckling behaviour of cold-formed steel hollow-flange channel beams and beam-columns”, Thin-walled structures: recent innovations and developments (Proceedings of the 5th International Conference on Thin-Walled Structures, Brisbane, Australia, 18-20 June), M. Mahendran (Ed.), pp. 425-433, 2008.
20. Gonçalves, R., Camotim, D., Ritto-Corrêa, M., “GBT Solutions for bending and twisting of thin-walled girders accounting for shear lag effects”, Book of Abstracts of the 18th ASCE Engineering Mechanics Division Conference (Virginia Tech, Virginia, EUA, 3-6 June), (full paper in CD-Rom), 2007.
21. Hansoulle, T., Boissonnade, N., Gonçalves, R., Camotim, D., Jaspart, J.P., “Design of beam-columns in steel sway frames: from the actual member to a simply supported equivalent one”, Proceedings of the Structural Stability Research Council (SSRC) Annual Technical Session & Meeting (New Orleans, USA, 18-21 April), pp. 177-200, 2007.
22. Gonçalves, R., Dinis, P., Camotim, D., “Box girder bridge analysis using generalized beam theory”, SDSS 2006 International Colloquium on Stability and Ductility of Steel Structures (IST, Lisbon, Portugal, 6-8 September), D. Camotim, N. Silvestre, P. B. Dinis (Eds.), IST press, pp. 1027-1036, 2006.
23. Camotim, D., Silvestre, N., Gonçalves, R., Dinis, P.B., “GBT buckling and post-buckling analysis of thin-walled steel members”, Book of Abstracts of the 6th European Solid Mechanics Conference (ESMC, Budapest, Hungary, 28 Aug. - 1 Sept.), 2006.
24. Gonçalves, R., Ritto-Corrêa, M., Camotim, D., “A large displacement and finite rotation thin-walled beam finite element formulation”, Book of Abstracts of the III European Conference on Computational Mechanics (Lisbon, Portugal, 5-8 June), C. A. Mota Soares, J. Martins, H. Rodrigues, J. Ambrósio, C. Pina, C. M. Mota Soares, E. Pereira (Eds.), p. 693 (full paper in CD-Rom), 2006.
25. Gonçalves, R., Le Grognec, P., Camotim, D., “Plastic bifurcation FEA of thin-walled members: thin shell elements vs. GBT-based beam elements”, Book of abstracts of the III European Conference on Computational Mechanics (Lisbon, Portugal, 5-8 June), C. A. Mota Soares, J. Martins, H. Rodrigues, J. Ambrósio, C. Pina, C. M. Mota Soares, E. Pereira (Eds.), p. 692 (full paper in CD-Rom), 2006.
26. Camotim D., Silvestre N., Gonçalves R. and Dinis P.B., “GBT-based structural analysis of thin-walled members: overview, recent progress and future developments”, Advances in Engineering Structures, Mechanics & Construction (SMCD 2006, Waterloo, Canada, 14-17 May), M. Pandey, W.-C. Xie, L. Xu (Eds.), Springer, pp. 187-204, 2006.(2)
27. Gonçalves, R., Dinis, P., Camotim, D., “GBT Linear and Buckling Analysis of Thin-Walled Multi-Cell Box Girders”, Proceedings of SSRC 2006 Annual Stability Conference (San Antonio, Texas, USA, 8-11 February), pp. 329-353, 2006.
28. Gonçalves, R., Camotim, D., “Análise fisicamente não-linear de barras utilizando a teoria generalizada de vigas (GBT)”, Actas del Congreso de Métodos Numéricos en Ingeniería (Granada, Spain, 4-7 July), J. Aparicio, A. Ferran, J. Martins, R. Gallego, J. Sá (Eds.), p. 138 (full paper in CD-Rom), 2005.
29. Gonçalves, R., Camotim, D., “Formulation of a Physically Non-Linear Beam Finite Element Using Generalised Beam Theory”, Proceedings of the 4th European Conference on Steel and Composite Structures (Eurosteel 2005, Maastricht, The Netherlands, 8-10 June), B. Hoffmeister, O. Hechler (Eds.), pp. 53-60, 2005.
30. Gonçalves, R., Dinis, P., Camotim, D., “GBT Formulation to Analyze the Stability of Thin-Walled Members With Fully Arbitrary Cross-section Shapes”, CD-Rom Proceedings of the 2005 Joint ASME/ASCE/SES Conference on Mechanics and Materials (McMat 2005, Baton Rouge, Louisiana, USA, 1-3 June), 2005.
National
1. Bebiano, R., Basaglia, C., Camotim D., Gonçalves, R., “Encurvadura de barras de parede fina com secção fechada sujeitas a carregamento arbitrário: aplicação da Teoria Generalizada de Vigas”, Atas do Congresso de Métodos Numéricos em Engenharia 2015 (IST, Lisboa, 29/6-2/7), J. Guedes et al. (Eds.), p. 190 (artigo completo em CD-Rom), 2015.
2. Gonçalves, R., Camotim D., “Distorção em secções de parede fina aberta simétricas e periódicas”, Atas do Congresso de Métodos Numéricos em Engenharia 2015 (IST, Lisboa, 29/6-2/7), J. Guedes et al. (Eds.), p. 191 (artigo completo em CD-Rom), 2015.
3. Bebiano, R., Gonçalves, R., Camotim D., Dinis, P., “GBTUL 2.0 – uma ferramenta eficiente para a análise de estabilidade e de vibração de barras de parede fina”, Atas das 5as Jornadas Portuguesas de Engenharia de Estruturas, (LNEC, Lisboa, 26-28/11), J. Catarino et al. (Eds.), 2014. (artigo completo em pen-drive)
4. Gonçalves, R., Camotim, D., “Comportamento estrutural de perfis tubulares com secção poligonal regular de parede fina”, Actas do IX Congresso de Construção Metálica e Mista e I Congresso Luso-Brasileiro de Construção Metálica Sustentável (Exponor, Matosinhos, 24-25 de Outubro), L. Simões da Silva, N. Silvestre, F. Santos (Eds.), pp. II 487 – II 496, 2013.
5. Bebiano, R., Gonçalves, R., Camotim, D., “O programa GBTUL 2.0 – uma ferramenta para a análise de estabilidade e de vibração de barras de parede fina”, Actas do IX Congresso de Construção Metálica e Mista e I Congresso Luso-Brasileiro de Construção Metálica Sustentável (Exponor, Matosinhos, 24-25 de Outubro), L. Simões da Silva, N. Silvestre, F. Santos (Eds.), pp. II 747 – II 754, 2013.
6. Carvalho, J., Delgado, C., Gonçalves, R., “Encurvadura de colunas mistas parcialmente betonadas: avaliação das disposições do Eurocódigo 4”, Actas do VIII Congresso de Construção Metálica e Mista (Guimarães, 24-25 de Novembro), L. Simões da Silva, P. Cruz, N. Lopes, J. Fernandes, A. Baptista (Eds.), pp. II 501 – II 510, 2011.
7. Graça, A., Basaglia, C., Gonçalves, R., Camotim, D., “Estabilidade de madres de aço enformadas a frio considerando a interacção com as chapas de cobertura”, Actas do VIII Congresso de Construção Metálica e Mista (Guimarães, 24-25 de Novembro), L. Simões da Silva, P. Cruz, N. Lopes, J. Fernandes, A. Baptista (Eds.), pp. II 373 – II 382, 2011.
8. Gonçalves, R., Freitas, I., Camotim D., “Aplicação da teoria generalizada de vigas a barras com materiais elastoplásticos”, Actas do Congresso de Métodos Numéricos em Engenharia (Coimbra, 14-17 de Junho), p. 153 (artigo completo em CD-Rom), 2011.
9. Gonçalves, R., Ritto Corrêa, M., Camotim D., “Aplicação da teoria geometricamente exacta de vigas à análise de pórticos de aço”, Actas do VII Congresso de Construção Metálica e Mista (LNEC, Lisboa, 18-19 de Novembro), L. Simões da Silva, J. Fernandes, A. Baptista, E. Caetano, P. Piloto (Eds.), pp. II 205–II 213, 2009.
10. Dinis, P., Gonçalves, R., Camotim, D., “Estabilidade local e global de colunas, vigas e colunas viga de aço enformadas a frio com banzos em caixão”, Actas do VI Congresso de Construção Metálica e Mista (Porto, Novembro), L. Simões da Silva, E. Caetano, P. Piloto, C. Martins, T. Abecasis (Eds.), 2007.
11. Gonçalves, R., Camotim, D., Ritto-Corrêa, M., “Análise de vigas de parede fina através da GBT considerando o efeito de shear lag”, Livro de resumos do Congresso de Métodos Numéricos em Engenharia / Congresso Ibero-Latino Americano sobre Métodos Computacionais em Engenharia (CMNE/CILAMCE, Porto, 13-15 de Junho), 2007.
12. Gonçalves, R., Dinis, P., Camotim, D., “Análise de uma Ponte Mista em Caixão Utilizando a Teoria Generalizada de Vigas”, Actas do V Congresso de Construção Metálica e Mista (Lisboa, 24–25 de Novembro), A. Lamas, C. Martins, T. Abecasis, L. Calado (Eds.), pp. 459–469, 2005.