Coupling grid topology generation and form-finding for the design of architectural meshes

The performances of gridshells depend on the grid topology but also the geometry of the underlying surface. In optimal design, such as funicular shapes, topology and geometry are linked. When lifting a grid, the resulting shape depends on the provided topology. Topology generation is thus a tool for structural design. This paper shows its practical application for engineers. The topology generation method described in Boutillier et al. (2024b) is employed and provides grids adapted to the support conditions of the project. Grids are then lifted and evaluated in two case studies: the spatial forms result from an optimisation process balancing surface funicularity with panel planarity. In the first case, the mechanical performances are then evaluated according to different criteria. A non-intuitive result shows that a large variety of topologies is situated on the Pareto front, legitimating a posteriori the topology generation method. In the second case, the method's applicability is evaluated through the fabrication of a wooden pavilion with a funicular structure and flat quadrilateral panels, making it possible to reconcile topology with manufacturing and project constraints.