An origami-inspired spherical transformable metamaterial based on symmetry groups

Ivar R. Nuijts; Freek G.J. Broeren; Volkert Van Der Wijk; Just L. Herder

doi:10.1109/ICCMA46720.2019.8988662

An origami-inspired spherical transformable metamaterial based on symmetry groups

Ivar R. Nuijts, Freek G.J. Broeren, Volkert Van Der Wijk, Just L. Herder

Mechatronic Systems Design

Research output: Chapter in Book/Conference proceedings/Edited volume › Conference contribution › Scientific › peer-review

Abstract

Most currently existing mechanical metamaterial designs are based on Bravais lattices. These consist of parallelogram or parallelepiped unit cells, which are respectively translated along two or three independent vectors to fill the complete space. This approach is inherently unable to match curved surfaces like spheres, since these cannot be constructed only from parallel and perpendicular lines. In this paper, we introduce a generalized unit cell, based on the symmetry groups of the sphere. We use this approach to develop a spherical transformable origami-inspired metamaterial. We describe the motions of this new metamaterial, as well as experimental observations on a physical, 3D printed model.

Original language	English
Title of host publication	Proceedings of the IEEE 7th International Conference on Control, Mechatronics and Automation (ICCMA 2019)
Place of Publication	Piscataway, NJ, USA
Publisher	IEEE
Pages	295-298
ISBN (Electronic)	978-1-7281-3787-2
DOIs	https://doi.org/10.1109/ICCMA46720.2019.8988662
Publication status	Published - 2019
Event	7th IEEE International Conference on Control, Mechatronics and Automation, ICCMA 2019 - Delft, Netherlands Duration: 6 Nov 2019 → 8 Nov 2019

Conference

Conference	7th IEEE International Conference on Control, Mechatronics and Automation, ICCMA 2019
Country/Territory	Netherlands
City	Delft
Period	6/11/19 → 8/11/19

Keywords

mechanical metamaterials
origami
periodic mechanisms
spherical symmetries

Access to Document

10.1109/ICCMA46720.2019.8988662

Cite this

@inproceedings{d494b3bd15344c669f4276bd801bfbaf,

title = "An origami-inspired spherical transformable metamaterial based on symmetry groups",

abstract = "Most currently existing mechanical metamaterial designs are based on Bravais lattices. These consist of parallelogram or parallelepiped unit cells, which are respectively translated along two or three independent vectors to fill the complete space. This approach is inherently unable to match curved surfaces like spheres, since these cannot be constructed only from parallel and perpendicular lines. In this paper, we introduce a generalized unit cell, based on the symmetry groups of the sphere. We use this approach to develop a spherical transformable origami-inspired metamaterial. We describe the motions of this new metamaterial, as well as experimental observations on a physical, 3D printed model.",

keywords = "mechanical metamaterials, origami, periodic mechanisms, spherical symmetries",

author = "Nuijts, {Ivar R.} and Broeren, {Freek G.J.} and {Van Der Wijk}, Volkert and Herder, {Just L.}",

year = "2019",

doi = "10.1109/ICCMA46720.2019.8988662",

language = "English",

pages = "295--298",

booktitle = "Proceedings of the IEEE 7th International Conference on Control, Mechatronics and Automation (ICCMA 2019)",

publisher = "IEEE",

address = "United States",

note = "7th IEEE International Conference on Control, Mechatronics and Automation, ICCMA 2019 ; Conference date: 06-11-2019 Through 08-11-2019",

}

Nuijts, IR, Broeren, FGJ , Van Der Wijk, V & Herder, JL 2019, An origami-inspired spherical transformable metamaterial based on symmetry groups. in Proceedings of the IEEE 7th International Conference on Control, Mechatronics and Automation (ICCMA 2019). IEEE, Piscataway, NJ, USA, pp. 295-298, 7th IEEE International Conference on Control, Mechatronics and Automation, ICCMA 2019, Delft, Netherlands, 6/11/19. https://doi.org/10.1109/ICCMA46720.2019.8988662

An origami-inspired spherical transformable metamaterial based on symmetry groups. / Nuijts, Ivar R.; Broeren, Freek G.J.; Van Der Wijk, Volkert et al.
Proceedings of the IEEE 7th International Conference on Control, Mechatronics and Automation (ICCMA 2019). Piscataway, NJ, USA: IEEE, 2019. p. 295-298.

Research output: Chapter in Book/Conference proceedings/Edited volume › Conference contribution › Scientific › peer-review

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T1 - An origami-inspired spherical transformable metamaterial based on symmetry groups

AU - Nuijts, Ivar R.

AU - Broeren, Freek G.J.

AU - Van Der Wijk, Volkert

AU - Herder, Just L.

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Y1 - 2019

N2 - Most currently existing mechanical metamaterial designs are based on Bravais lattices. These consist of parallelogram or parallelepiped unit cells, which are respectively translated along two or three independent vectors to fill the complete space. This approach is inherently unable to match curved surfaces like spheres, since these cannot be constructed only from parallel and perpendicular lines. In this paper, we introduce a generalized unit cell, based on the symmetry groups of the sphere. We use this approach to develop a spherical transformable origami-inspired metamaterial. We describe the motions of this new metamaterial, as well as experimental observations on a physical, 3D printed model.

AB - Most currently existing mechanical metamaterial designs are based on Bravais lattices. These consist of parallelogram or parallelepiped unit cells, which are respectively translated along two or three independent vectors to fill the complete space. This approach is inherently unable to match curved surfaces like spheres, since these cannot be constructed only from parallel and perpendicular lines. In this paper, we introduce a generalized unit cell, based on the symmetry groups of the sphere. We use this approach to develop a spherical transformable origami-inspired metamaterial. We describe the motions of this new metamaterial, as well as experimental observations on a physical, 3D printed model.

KW - mechanical metamaterials

KW - origami

KW - periodic mechanisms

KW - spherical symmetries

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M3 - Conference contribution

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EP - 298

BT - Proceedings of the IEEE 7th International Conference on Control, Mechatronics and Automation (ICCMA 2019)

PB - IEEE

CY - Piscataway, NJ, USA

T2 - 7th IEEE International Conference on Control, Mechatronics and Automation, ICCMA 2019

Y2 - 6 November 2019 through 8 November 2019

ER -

An origami-inspired spherical transformable metamaterial based on symmetry groups

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Keywords

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Kinematic Methods for the Rational Design of Mechanical Metamaterials

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