Method for flat-foldable curved Miura-ori tessellations

Title

Method for flat-foldable curved Miura-ori tessellations

 Author

Niezen, Robin (TU Delft Mechanical, Maritime and Materials Engineering)

Contributor

Radaelli, G. (mentor) ORCID 0000-0002-2935-3868
Dodou, D. (mentor) ORCID 0000-0002-9428-3261
Alijani, F. (mentor) ORCID 0000-0002-7439-8483

 Degree granting institution

Delft University of Technology

 Date

2021-11-17

 Abstract

Miniaturizing mechanical tessellations with rigid origami behavior is difficult since rigid origami can only be approached in real mechanical systems. Rigid-origami means that the fold-lines have zero stiffness, and the facets have infinite stiffnes. However, zero stiffness and infinite stiffness can physically not be obtained. To approach the rigid-origami behavior in mechanical tessellation, the stiness of the fold-lines must be reduced. To acquire this low stiness on a micron scale, it is chosen to explore a manufacturing method that uses
at material. These at foldable curved tessellations could be used to compensate for the naturally occurring out-of-plane bending of the free edges when at foldable Miura-ori is bend into a cylindrical shell or tube. To compensate for this behavior a legitimate design variation on the Miura-ori pattern has been defined to create a curvature in the folded Miura-ori tessellation. Simulations are used to explore the behavior of the curvature for different parameters of the design variation. Additionally, simulations are performed to explore the behavior of the bend sheet when bend into a Miura-ori tube tessellation. From this simulation the variation indeed showed a curvature for the sheet tessellation and a reduction in curvature of the tube tessellation. To validate if a real mechanical tessellation would show similar curvature in a folded state. A titanium tessellation has been chemically etched and mechanically folded using special
made mold-stamps. The mechanical titanium sheet tessellations shows a curvature in the folded state, but the curvature is smaller, which is an expected result due to rigid-origami assumptions in the iso-geometric-analysis(IGA) model.

 Subject

Rigid Origami
Fabrication
Miura-ori design variations
curved Miura-ori tessellations

 To reference this document use:

http://resolver.tudelft.nl/uuid:3ea0f9d1-e2c5-4e84-b09b-dcc11fb0347c

 Embargo date

2022-11-17

 Part of collection

Student theses

 Document type

master thesis

 Rights

© 2021 Robin Niezen
Files
PDF Report_Thesis_TU_style_Me ... ations.pdf 181.06 MB
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