Design and Fabrication of Elastic Geodesic Grid Structures

Pillwein, Stefan; Kübert, Johanna; Rist, Florian; Weiss, Tomer

doi:10.1145/3424630.3425412

Cited by 6 publications

(6 citation statements)

References 20 publications

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“…of the scissor linkage, and additional translational DoF, introduced by the notches. Kinematically, the grids are related to other elastic scissor-like grid structures which use notches [Pillwein et al 2020a[Pillwein et al , 2021[Pillwein et al , 2020b, in contrast to structures with a rotational DoF only Soriano et al 2019].…”

Section: Discussion and Conclusion 91 Discussion And Limitationsmentioning

confidence: 99%

“…In contrast, the method of Pillwein et al [2020b] generates perfectly planar 2d layouts, on the downside, their method is limited to scissor-like convex quadrilateral patches only and does not allow free-form boundaries. While more complex shapes are possible by stitching multiple quadrilateral patches together [Pillwein et al 2020a[Pillwein et al , 2021, an arbitrary boundary is still not possible.…”

Section: Introductionmentioning

confidence: 99%

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Generalized deployable elastic geodesic grids

Pillwein

Weiss²

2021

ACM Trans. Graph.

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Given a designer created free-form surface in 3d space, our method computes a grid composed of elastic elements which are completely planar and straight. Only by fixing the ends of the planar elements to appropriate locations, the 2d grid bends and approximates the given 3d surface. Our method is based purely on the notions from differential geometry of curves and surfaces and avoids any physical simulations. In particular, we introduce a well-defined elastic grid energy functional that allows identifying networks of curves that minimize the bending energy and at the same time nestle to the provided input surface well. Further, we generalize the concept of such grids to cases where the surface boundary does not need to be convex, which allows for the creation of sophisticated and visually pleasing shapes. The algorithm finally ensures that the 2d grid is perfectly planar, making the resulting gridshells inexpensive, easy to fabricate, transport, assemble, and finally also to deploy. Additionally, since the whole structure is pre-strained, it also comes with load-bearing capabilities. We evaluate our method using physical simulation and we also provide a full fabrication pipeline for desktop-size models and present multiple examples of surfaces with elliptic and hyperbolic curvature regions. Our method is meant as a tool for quick prototyping for designers, architects, and engineers since it is very fast and results can be obtained in a matter of seconds.

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Section: Discussion and Conclusion 91 Discussion And Limitationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Generalized deployable elastic geodesic grids

Pillwein

Weiss²

2021

ACM Trans. Graph.

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“…Besides this limitation, design surfaces with high Gaussian curvature might need to be smoothed before a suitable grid layout is feasible. Some practical aspects of the EGG, like reducing friction in the joints or insights on scaling, were already investigated [2]. The paper initially considers splitting design surfaces into multiple patches and provides first insights into it.…”

Section: Related Workmentioning

confidence: 99%

“…In this paper, we extend the recently presented work of Pillwein et al [1,2], in particular, our goal is to analyze how elastic geodesic grid models can be designed on challenging input surfaces that require multiple patches. We provide the following contributions:…”

Section: Introductionmentioning

confidence: 99%

Design and Fabrication of Multi-Patch Elastic Geodesic Grid Structures

Pillwein,

Kübert,

Rist

et al. 2021

Preprint

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Elastic geodesic grids (EGG) are lightweight structures that can be deployed to approximate designer-provided free-form surfaces. Initially, the grids are perfectly flat, during deployment, a curved shape emerges, as grid elements bend and twist. Their layout is based on networks of geodesic curves and is found geometrically. Encoded in the planar grids is the intrinsic shape of the design surface. Such structures may serve purposes like free-form sub-structures, panels, sun and rain protectors, pavilions, etc. However, so far the EGG have only been investigated using a generic set of design surfaces and small-scale desktop models. Some limitations become apparent when considering more sophisticated design surfaces, like from free-form architecture. Due to characteristics like high local curvature or non-geodesic boundaries, they may be captured only poorly by a single EGG.We show how decomposing such surfaces into smaller patches serves as an effective strategy to tackle these problems. We furthermore show that elastic geodesic grids are in fact well suited for this approach. Finally, we present a showcase model of some meters in size and discuss practical aspects concerning fabrication, size, and easy deployment.

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“…The other researchers proposed a different method of covering the surface with short geodesic curve segments joined to each other at nodes (Geodesic Segment method) (Schulitz 2017). The design and deployment of the geodesic grid structures have been also presented by Pillwein et al (2020). Authors of this paper assume creating a geodesic gridshell by simultaneously creating a planar grid of the structure and a spatial grid that approximates the design surface.…”

Section: Literature Reviewmentioning

confidence: 99%