Comparison of Form-finding Methods to Shape Concrete Shells for Curved Footbridges

References

• Bradshaw RR, Billington DP, Fialkow MN, et al. Concrete shell structures practice and commentary. ACI J. Proc. 1964; 61: 1–10.
   Google Scholar
• Block P. Thrust Network Analysis: Exploring Three-Dimensional Equilibrium. Massachusetts Institute of Technology, Cambridge, MA, 2009.
   Google Scholar
• Adriaenssens S, Block P, Veenendaal D, et al. Shell Structures for Architecture. New York: Taylor & Francis, Routledge, 2014.
   Google Scholar
• Rippmann M, Lachauer L, Block P. Interactive vault design. Int. J. Sp. Struct. 2012; 27: 219–230.
   Google Scholar
• Kilian A, Ochsendorf J. Particle-spring systems for structural form finding. J. Int. Assoc. Shell Spat. Struct. 2005; 46: 77–84.
   Google Scholar
• Block P, Ochsendorf J. Thrust network analysis: a new methodology for three-dimensional equilibrium. J. Int. Assoc. Shell Spat. Struct. 2007; 48: 167–173.
   Google Scholar
• Marmo F, Rosati L. Reformulation and extension of the thrust network analysis. Comput. Struct. 2017; 182: 104–118.
   Web of Science ®Google Scholar
• Marmo F, Masi D, Sessa S, et al. Thrust network analysis of masonry vaults subject to vertical and horizontal loads. In: COMPDYN 2017 – 6th ECCOMAS Thematic Conference on Computational Methods in Structural Dynamics and Earthquake Engineering. Rhodes Island, Greece, 2017, 2227–2238.
   Google Scholar
• Stam J. Nucleus: Towards a unified dynamics solver for computer graphics. Proc – 2009 11th IEEE Int Conf Comput Des Comput Graph CAD/Graphics 2009 2009; 1–11.
   Google Scholar
• Kuijvenhoven M, Hoogenboom PCJ. Particle-spring method for form finding grid shell structures consisting of flexible members. J. Int. Assoc. Shell Spat. Struct. 2012; 53: 31–38.
   Google Scholar
• Bertin TB. Evaluating the use of Particle-Spring Systems in the Conceptual Design of Grid Shell Structures. Massachusetts Institute of Technology, 2013.
   Google Scholar
• Fenu L, Congiu E, Lavorato D, et al. Curved footbridges supported by a shell obtained through thrust network analysis. J. Traffic Transp. Eng. (English Ed) 2019; 6: 65–75.
   Google Scholar
• Fenu L, Briseghella B, Congiu E. Curved footbridges supported by a shell obtained as an envelope of thrust-lines. In: ARCH’16 – 8th International Conference on Arch Bridges, Wroclaw. Wroclaw (Poland), 2016, 921–932.
   Google Scholar
• Fenu L, Briseghella B, Zordan T. Curved shell-supported footbridges. In: IABSE Conference – Structural Engineering: Providing Solutions to Global Challenges. Geneva, Switzerland: International Association for Bridge and Structural Engineering (IABSE), 2015.
   Google Scholar
• Huerta S. Structural design in the work of Gaudi. Archit. Sci. Rev. 2006; 49: 324–339.
   Google Scholar
• Isler H. Concrete shells derived from experimental shapes. Struct. Eng. Int. 1994; 4: 142–147.
   Google Scholar
• Boller G, Schwartz J. Modelling the form. Heinz Isler, Frei Otto and their approaches to form-finding. In: Seventh Conference of the Construction History Society. Cambridge, UK, 2020, 565–576.
   Google Scholar
• Schek H-J. The force density method for form finding and computation of general networks. Comput. Methods Appl. Mech. Eng. 1974; 3: 115–134.
   Google Scholar
• Day AS. An introduction to dynamic relaxation. Eng. 1965; 219: 218–221.
   Google Scholar
• Kilian A, Ochsendorf J. Particle spring systems for structural form finding. J. Int. Assoc. Shell Spat. Struct. 2006; Vol. 46 (2): 77–84.
   Google Scholar
• Basso P, Del Grosso A. Form-finding methods for structural frameworks: a review. In: 52nd Annual Symposium of IASS. London, U.K., 2011.
   Google Scholar
• Veenendaal D, Block P. An overview and comparison of structural form finding methods for general networks. Int. J. Solids Struct. 2012; 49: 3741–3753.
   Web of Science ®Google Scholar
• Barnes MR. Form Finding and Analysis of Tension Space Structures by Dynamic Relaxation. City University London, 1977.
   Google Scholar
• Lewis WJ. Computational form-finding methods for fabric structures. In: ICE – Engineering and Computational Mechanics. 2008, 139–149.
   Google Scholar
• Nouri-Baranger T. Computational methods for tension-loaded structures. Arch. Comput. Meth. Eng. 2004; 11: 143–186.
   Web of Science ®Google Scholar
• Kromoser B, Pachner T, Tang C, et al. Form finding of shell bridges using the pneumatic forming of hardened concrete construction principle. Adv. Civ. Eng. 2018; 2018: 1–14.
   Web of Science ®Google Scholar
• Nervi PL. Costruire correttamente: caratteristiche e possibilità delle strutture cementizie armate. Milano: Hoepli, 1965.
   Google Scholar
• Torroja y Miret E. The Structures of Eduardo Torroja: an Autobiography of Engineering Accomplishment. Dodge Corporation, New York, 1958.
   Google Scholar
• Burger N, Billington DP. Felix Candela, elegance and endurance: an examination of the Xochimilco shell. J. Int. Assoc. Shell Spat. Struct. 2006; 47: 271–278.
   Google Scholar
• Nicoletti M, Musmeci S. Sergio Musmeci: organicità di forme e forze nello spazio. Torino: Testo & Immagine, 1999.
   Google Scholar
• Musmeci S. La statica e le strutture. Roma: Cremonese, 1971.
   Google Scholar
• Geier R. Monitoring of the Vienna Erdberger Bridge. In: IABSE Symposium Report – Large Structures and Infrastructures for Environmentally Constrained and Urbanised Areas. Venice (Italy): International Association for Bridge and Structural Engineering (IABSE), 2010, 389–390.
   Google Scholar
• Strasky J. Pedestrian bridges utilizing high strength concrete. Int. J. Sp. Struct. 2007; 22: 61–79.
   Google Scholar
• Corres-Peiretti H, Dieste S, León J, et al. New materials and construction techniques in bridge and building design. In: Innovative Materials and Techniques in Concrete Construction. Dordrecht: Springer Netherlands, 2012, 17–41.
   Google Scholar
• Kappelt H. Efficient structure: footbridge in Ditzingen. Structure 2018; 4: 4–5.
   Google Scholar
• Popescu M, Reiter L, Liew A, et al. Building in concrete with an ultra-lightweight knitted stay-in-place formwork: prototype of a concrete shell bridge. Structures 2018; 14: 322–332.
   Web of Science ®Google Scholar
• Kromoser B, Kollegger J. Efficient construction of concrete shells by pneumatic forming of hardened concrete: construction of a concrete shell bridge in Austria by inflation. Struct. Concr. 2020; 21: 4–14.
   Web of Science ®Google Scholar
• Briseghella B, Fenu L, Feng Y, et al. Optimization indexes to identify the optimal design solution of shell-supported bridges. J. Bridg. Eng. 2016; 21. doi:10.1061/(ASCE)BE.1943-5592.0000838.
   Web of Science ®Google Scholar
• Briseghella B, Fenu L, Lan C, et al. Application of topological optimization to bridge design. J. Bridg. Eng. 2013; 18: 790–800.
   Web of Science ®Google Scholar
• Briseghella B, Fenu L, Feng Y, et al. Topology optimization of bridges supported by a concrete shell. Struct. Eng. Int. 2013; 23: 285–294.
   Web of Science ®Google Scholar
• Fenu L, Madama G, Tattoni S. On the conceptual design of R/C footbridges with the deck supported by shells of minimal surface. Stud e Ric – Politec di Milano Sc di Spec Costr Cem Armato 2006; 26: 103–126.
   Google Scholar
• Fenu L, Madama G. A method of shaping R/C shells with heuristic algorithms and with reference to Musmeci’s work. Stud e Ric – Politec di Milano Sc di Spec Costr Cem Armato 2004; 25: 199–238.
   Google Scholar
• Lan C, Briseghella B, Fenu L, et al. The optimal shapes of piles in integral abutment bridges. J. Traffic Transp. Eng. (English Ed) 2017; 4: 576–593.
   Google Scholar
• Marmo F, Demartino C, Candela G, et al. On the form of the Musmeci’s bridge over the Basento river. Eng. Struct. 2019; 191: 658–673.
   Web of Science ®Google Scholar
• Trentadue F, Marano GC, Vanzi I, et al. Optimal arches shape for single-point-supported deck bridges. Acta Mech. 2018; 229: 2291–2297.
   Web of Science ®Google Scholar
• Fenu L, Marano GC, Congiu E, et al. Optimum design of an arched truss under vertical and horizontal multi-load cases. In: IASS Annual Symposium 2019 – Structural Membranes 2019 Form and Force. Barcelona: International Association for Shell and Spatial Structures (IASS), 2019, 1–8.
   Google Scholar
• Zordan T, Briseghella B, Mazzarolo E. Bridge structural optimization through step-by-step evolutionary process. Struct. Eng. Int. J. Int Assoc. Bridg Struct. Eng. 2010; 20: 72–78.
   Web of Science ®Google Scholar
• Fenu L, Bruno B, Giuseppe Carlo Marano. Optimum shape and length of laterally loaded piles. Struct. Eng. Mech. 2018; 68: 121–130.
   Web of Science ®Google Scholar
• Maxwell JC. XLV. On reciprocal figures and diagrams of forces. London, Edinburgh, Dublin Philos. Mag. J. Sci. 1864; 27: 250–261.
   Google Scholar
• Tedeschi A. AAD Algorithms-Aided Design: Parametric Strategies Using Grasshopper. Brienza, Italy: Le Penseur, 2014.
   Google Scholar
• Tomás A, Martí P. Shape and size optimisation of concrete shells. Eng. Struct. 2010; 32: 1650–1658.
   Web of Science ®Google Scholar
• Tomás A, Martí P. Optimality of Candela’s concrete shells: a study of his posthumous design. J. Int. Assoc. Shell Spat. Struct. 2010; 51: 67–77.
   Google Scholar