Menachem Mautner, On Law and the Culture of Israel

Stern, Yedidia Z.

doi:10.5131/ajcl.2012.0003

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“…Besides its great potential for the manufacture of complicated geometries and devices, self-folding origami opens up a number of research directions, such as origami design, the foldability and mechanics of origami, etc. Stern, Pinson and Murugan [7] discussed the complexity of refolding a previously folded sheet of paper and they provide fundamental limits on the programmability of energy landscapes in sheets. Chen and Santangelo [6] investigated the branches of a generic, triangulated origami crease pattern.…”

Section: Introductionmentioning

confidence: 99%

Self-Folding Metasheets: The Optimal Pattern of Strain of Miura-Ori Folded State

Lan¹

2018

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Self-folding origami has emerged as a tool to make functional objects in material science. The common idea is to pattern a sheet with creases and activate them to have the object fold spontaneously into a desired configuration. This article shows that collinear quadrilateral metasheets are able to fold into the Miura-Ori configuration, if we only impose strain on part of their creases. In this study, we define and determine the optimal pattern of strain (OPS) on a collinear quadrilateral metasheet, that is the pattern of minimum "functional" creases with which the self-folding metasheet can fold into Miura-Ori state stably. By comparing the energy evolution along the folding pathway of each possible folded state under OPS, we conclude that the energy predominance of the desired Miura-Ori pathway during the initial period of time accounts for why the OPS works. Furthermore, we measure the projected force of the OPS on the intial flat metasheet and give insights on how to determine the OPS using only local information of the initial flat state.

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Section: Introductionmentioning

confidence: 99%

Self-Folding Metasheets: The Optimal Pattern of Strain of Miura-Ori Folded State

Lan¹

2018

Preprint

View full text Add to dashboard Cite

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Menachem Mautner, On Law and the Culture of Israel

Cited by 1 publication

References 0 publications

Self-Folding Metasheets: The Optimal Pattern of Strain of Miura-Ori Folded State

Self-Folding Metasheets: The Optimal Pattern of Strain of Miura-Ori Folded State

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