Details
| Original language | English |
|---|---|
| Article number | 103378 |
| Journal | CAD Computer Aided Design |
| Volume | 152 |
| Early online date | 30 Jul 2022 |
| Publication status | Published - Nov 2022 |
Abstract
Fabrication and assembly of freeform shells can be simplified significantly when controlling the curvature of structural elements during the design phase. This approach has produced fundamental insights to bending-active construction, using the elastic property of elements to form efficient load-bearing structures. This paper is focused on gridshells that are built from straight and flat slats. The slats are combined in two orientations, tangential and normal to the design surface, to create robust and versatile triangulated grids. For this purpose, we generate hybrid webs of asymptotic and geodesic paths on freeform surfaces. The research combines geometric computing with architectural building practice. We present a computational workflow for the design and interactive modification of hybrid asymptotic geodesic webs. At its core are discrete models that are based on concepts of differential geometry and allow to compute constrained structures within an optimization framework. The resulting webs are tested for architectural applications. We derive a strategy for the elastic erection process, in which geodesic lamellas are used as a guide and bracing of the spatial structure. Two architectural scenarios, a timber roof and a steel facade are presented. Their feasibility for construction is verified through prototypical joints and physical models. The research introduces a new class of networks and related surfaces and offers insights into the practical challenges of freeform construction from elastic slats.
Keywords
- Asymptotic curves, Construction-aware design, Elastic gridshells, Geodesic curves, Mesh optimization
ASJC Scopus subject areas
- Computer Science(all)
- Computer Science Applications
- Computer Science(all)
- Computer Graphics and Computer-Aided Design
- Engineering(all)
- Industrial and Manufacturing Engineering
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In: CAD Computer Aided Design, Vol. 152, 103378, 11.2022.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Designing Asymptotic Geodesic Hybrid Gridshells
AU - Schling, Eike
AU - Wang, Hui
AU - Hoyer, Sebastian
AU - Pottmann, Helmut
PY - 2022/11
Y1 - 2022/11
N2 - Fabrication and assembly of freeform shells can be simplified significantly when controlling the curvature of structural elements during the design phase. This approach has produced fundamental insights to bending-active construction, using the elastic property of elements to form efficient load-bearing structures. This paper is focused on gridshells that are built from straight and flat slats. The slats are combined in two orientations, tangential and normal to the design surface, to create robust and versatile triangulated grids. For this purpose, we generate hybrid webs of asymptotic and geodesic paths on freeform surfaces. The research combines geometric computing with architectural building practice. We present a computational workflow for the design and interactive modification of hybrid asymptotic geodesic webs. At its core are discrete models that are based on concepts of differential geometry and allow to compute constrained structures within an optimization framework. The resulting webs are tested for architectural applications. We derive a strategy for the elastic erection process, in which geodesic lamellas are used as a guide and bracing of the spatial structure. Two architectural scenarios, a timber roof and a steel facade are presented. Their feasibility for construction is verified through prototypical joints and physical models. The research introduces a new class of networks and related surfaces and offers insights into the practical challenges of freeform construction from elastic slats.
AB - Fabrication and assembly of freeform shells can be simplified significantly when controlling the curvature of structural elements during the design phase. This approach has produced fundamental insights to bending-active construction, using the elastic property of elements to form efficient load-bearing structures. This paper is focused on gridshells that are built from straight and flat slats. The slats are combined in two orientations, tangential and normal to the design surface, to create robust and versatile triangulated grids. For this purpose, we generate hybrid webs of asymptotic and geodesic paths on freeform surfaces. The research combines geometric computing with architectural building practice. We present a computational workflow for the design and interactive modification of hybrid asymptotic geodesic webs. At its core are discrete models that are based on concepts of differential geometry and allow to compute constrained structures within an optimization framework. The resulting webs are tested for architectural applications. We derive a strategy for the elastic erection process, in which geodesic lamellas are used as a guide and bracing of the spatial structure. Two architectural scenarios, a timber roof and a steel facade are presented. Their feasibility for construction is verified through prototypical joints and physical models. The research introduces a new class of networks and related surfaces and offers insights into the practical challenges of freeform construction from elastic slats.
KW - Asymptotic curves
KW - Construction-aware design
KW - Elastic gridshells
KW - Geodesic curves
KW - Mesh optimization
UR - http://www.scopus.com/inward/record.url?scp=85137161884&partnerID=8YFLogxK
U2 - 10.1016/j.cad.2022.103378
DO - 10.1016/j.cad.2022.103378
M3 - Article
AN - SCOPUS:85137161884
VL - 152
JO - CAD Computer Aided Design
JF - CAD Computer Aided Design
SN - 0010-4485
M1 - 103378
ER -