Analysis of a reduced-order model for the simulation of elastic geometric zigzag-spring meta-materials

Document Type

Article

Publication Date

2-1-2022

Abstract

We analyze the performance of a reduced-order simulation of geometric meta-materials based on zigzag patterns using a simplified representation. As geometric meta-materials we denote planar cellular structures which can be fabricated in 2d and bent elastically such that they approximate doubly-curved 2-manifold surfaces in 3d space. They obtain their elasticity attributes mainly from the geometry of their cellular elements and their connections. In this paper we focus on cells build from so-called zigzag springs. The physical properties of the base material (i.e., the physical substance) influence the behavior as well, but we essentially factor them out by keeping them constant. The simulation of such complex geometric structures comes with a high computational cost, thus we propose an approach to reduce it by abstracting the zigzag cells by a simpler model and by learning the properties of their elastic deformation behavior. In particular, we analyze the influence of the sampling of the full parameter space and the expressiveness of the reduced model compared to the full model. Based on these observations, we draw conclusions on how to simulate such complex meso-structures with simpler models.

Identifier

85118361364 (Scopus)

Publication Title

Computers and Graphics Pergamon

External Full Text Location

https://doi.org/10.1016/j.cag.2021.10.007

ISSN

00978493

First Page

187

Last Page

198

Volume

102

Grant

WWTF ICT15-082

Fund Ref

Vienna Science and Technology Fund

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