Origami metamaterials : design, symmetries, and combinatorics

Leiden Repository

Origami metamaterials : design, symmetries, and combinatorics

Type: Doctoral Thesis
Title: Origami metamaterials : design, symmetries, and combinatorics
Author: Dieleman, P.
Journal Title: Casimir PhD Series
Issue Date: 2018-10-16
Keywords: Origami
Rigid Folding
Design
Multistability
Vertices
Crease Patterns
Abstract: In the first part of this thesis we study the geometry of folding patterns. Specifically, we focus on crease patterns consisting entirely of four-vertices; these are points where four fold lines come together. A single four-vertex is the simplest example of a foldable crease pattern that can be folded without bending the material in between the folds, and has a remarkable property: despite its single degree of freedom, it has two distinct folding motions. We make use of this property, and show how to design arbitrarily large four-vertex crease patterns, which can fold into two or more shapes. This is in contrast to other design methods, which produce patterns that can only fold into one specific shape. In the second part of this thesis, we study single four-vertices, and show a robust method to obtain four-vertices with three energy minima, which correspond to three different stable folded configurations. This too is in contrast to other experimental methods, which can only generate bistable vertices or patterns.
Promotor: Supervisor: Hecke M.L. van
Faculty: Faculty of Science
University: Leiden University
Uri: urn:isbn:9789085933618
Handle: http://hdl.handle.net/1887/66267
 

Files in this item

Description Size View
application/pdf Full Text 109.2Mb View/Open
application/pdf Cover 440.6Kb View/Open
application/pdf Title Pages_Contents 17.33Mb View/Open
application/pdf Chapter 1 18.74Mb View/Open
application/pdf Chapter 2 11.23Mb View/Open
application/pdf Chapter 3 13.36Mb View/Open
application/pdf Chapter 4 14.55Mb View/Open
application/pdf Chapter 5 50.40Mb View/Open
application/pdf Appendices_Bibliography 2.257Mb View/Open
application/pdf Summary in Dutch 92.82Kb View/Open
application/pdf Summary in English 111.0Kb View/Open
application/pdf Publications_Curriculum Vitae_Acknowledgements 111.7Kb View/Open
application/pdf Propositions 100.7Kb View/Open

This item appears in the following Collection(s)