Authors
X. Tellier, C. Douthe, L. Hauswirth, O. Baverel
Abstract
Isotropic Linear-Weingarten surfaces are a rich family of shapes, which contains some popular architectural surfaces such as paraboloids. We prove that these shapes are funicular for a uniform vertical load, and that the stress lines then form a conjugate net. This allows to design structures with planar facets, in which the edges have an optimal mechanical orientation. We introduce a generation method based on iterative projections. The method allows to intuitively control the shape by its boundaries and two design parameters. The formal potential is demonstrated on several examples.
