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Statics Aware Grid Shells
Author(s) -
Pietroni Nico,
Tonelli Davide,
Puppo Enrico,
Froli Maurizio,
Scopigno Roberto,
Cigi Paolo
Publication year - 2015
Publication title -
computer graphics forum
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.578
H-Index - 120
eISSN - 1467-8659
pISSN - 0167-7055
DOI - 10.1111/cgf.12590
Subject(s) - polygon mesh , grid , shell (structure) , isotropy , tensor field , topology (electrical circuits) , tensor (intrinsic definition) , volume mesh , metric (unit) , metric tensor , computer science , mesh generation , euclidean geometry , geometry , computational science , mathematics , mathematical analysis , finite element method , physics , structural engineering , geodesic , exact solutions in general relativity , combinatorics , materials science , engineering , operations management , quantum mechanics , composite material
We introduce a framework for the generation of polygonal gridshell architectural structures, whose topology is designed in order to excel in static performances. We start from the analysis of stress on the input surface and we use the resulting tensor field to induce an anisotropic nonEuclidean metric over it. This metric is derived by studying the relation between the stress tensor over a continuous shell and the optimal shape of polygons in a corresponding gridshell. Polygonal meshes with uniform density and isotropic cells under this metric exhibit variable density and anisotropy in Euclidean space, thus achieving a better distribution of the strain energy over their elements. Meshes are further optimized taking into account symmetry and regularity of cells to improve aesthetics. We experiment with quad meshes and hexdominant meshes, demonstrating that our gridshells achieve better static performances than stateoftheart gridshells.