Journal
ACM TRANSACTIONS ON GRAPHICS
Volume 39, Issue 4, Pages -Publisher
ASSOC COMPUTING MACHINERY
DOI: 10.1145/3386569.3392490
Keywords
geometric modeling; fabrication; elastic deformation; physical simulation; architectural geometry; elastic gridshells; active bending
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Funding
- Vienna Science and Technology Fund [WWTF ICT15-082]
- Austrian Science Fund [FWF P27972-N31]
- Austrian Science Fund (FWF) [P27972] Funding Source: Austrian Science Fund (FWF)
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We propose a novel type of planar-to-spatial deployable structures that we call elastic geodesic grids. Our approach aims at the approximation of freeform surfaces with spatial grids of bent lamellas which can be deployed from a planar configuration using a simple kinematic mechanism. Such elastic structures are easy-to-fabricate and easy-to-deploy and approximate shapes which combine physics and aesthetics. We propose a solution based on networks of geodesic curves on target surfaces and we introduce a set of conditions and assumptions which can be closely met in practice. Our formulation allows for a purely geometric approach which avoids the necessity of numerical shape optimization by building on top of theoretical insights from differential geometry. We propose a solution for the design, computation, and physical simulation of elastic geodesic grids, and present several fabricated small-scale examples with varying complexity. Moreover, we provide an empirical proof of our method by comparing the results to laser-scans of the fabricated models. Our method is intended as a form-finding tool for elastic gridshells in architecture and other creative disciplines and should give the designer an easy-to-handle way for the exploration of such structures.
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