Skip to Main content Skip to Navigation
Journal articles

Isoradial meshes: Covering elastic gridshells with planar facets

Abstract : Elastic gridshells are structures made of flat two-way grids which are deformed elastically before they are braced and which afterwards mechanically behave like continuous shells. Gridshells present some advantages in terms of manufacturing, lightness and time of assembly. Their covering remains however a technical issue. The present article proposes hence an alternative method to cover them by planar quadrilateral facets, which could also be used as natural bracing if connected properly. It relies on the duality between a certain family of circular meshes with a unique radius and some Tchebycheff nets. The approach is versatile and allows for the design of a large variety of shapes from two curves in space. Real time numerical tools are developed for open and closed curves as well as a strategy for umbilical points. The relaxation of the Tchebycheff net shows finally that an equilibrium configuration can be found in the vicinity of the planar quadrilateral mesh (PQ-Mesh) which confirm the practical feasibility of elastic gridshells covered with planar facets.
Complete list of metadata

Cited literature [25 references]  Display  Hide  Download
Contributor : Cyril Douthe <>
Submitted on : Tuesday, October 24, 2017 - 5:16:48 PM
Last modification on : Tuesday, December 8, 2020 - 10:20:37 AM
Long-term archiving on: : Thursday, January 25, 2018 - 3:03:35 PM


Files produced by the author(s)




Cyril Douthe, Romain Mesnil, Hugo Orts, Olivier Baverel. Isoradial meshes: Covering elastic gridshells with planar facets. Automation in Construction, Elsevier, 2017, 83, pp.222 - 236. ⟨10.1016/j.autcon.2017.08.015⟩. ⟨hal-01622864⟩



Record views


Files downloads