Structural Morphology and Performance of Plated Structures with Planar Quadrilateral Facets

Abstract

The aim of this paper is to present some innovative strategies for the design of plated shell structures. Fabrication constraints are carefully considered, as the obtained shapes are covered with planar quadrilateral facets only. Different corrugation strategies are investigated, and our method guarantees extension of the shape generation to complex topologies. Few parameters control the amplitude of corrugations, which also gives us the opportunity to perform a sensitivity analysis on the influence of corrugations on the structural performance of folded-plate structures. The study focuses on the influence of the mechanical attachment between plates on the overall structural performance as well as fabrication rationality.

Marionette Meshes: Modelling free-form architecture with planar facets

“…A C 0 projection yields a C 0 solution to the hyperbolic equation (4), so that shape functions with creases can easily be propagated through the mesh. 27 Figure 9 shows a corrugated shape generated from a C 0 planar projection and smooth guide curves. Such corrugations can be used in folded plate structures and could extend the formal possibilities of methods developed in Robeller et al 28 or discussed in Lebée.…”

Fabrication-aware shape parametrisation for the structural optimisation of shell structures

“…It is noticed that the corrugation leads to an increase of the displacement under symmetrical load and to an improvement of the structural behaviour for the non-symmetrical load and buckling. Corrugation can indeed be interpreted as a mean to increase the bending stiffness of a shell, although the structure transitions from a biaxial state of stress to a uni-axial one [41]. Notice finally that local corrugation significantly increases the critical buckling load of the shell.…”