A toy-inspired kirigami pattern and its kinematic performance by applying mechanisms and machine theory

Weiwei Lin; Kunjing Chen; Yuan Gao; Aihua Chen; Fufu Yang; Huijuan Feng

doi:10.5194/ms-12-933-2021

A toy-inspired kirigami pattern and its kinematic performance by applying mechanisms and machine theory

Weiwei Lin, Kunjing Chen, Yuan Gao, Aihua Chen, Fufu Yang^*, Huijuan Feng^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

6 Citations (Scopus)

72 Downloads (Pure)

Abstract

Origami that can form various shapes by setting simple creases on the paper and folding along these creases has a lot of applications from the fields of art to engineering. The inverse problem of origami that determines the distribution of creases based on the desired shape is very complicated. In this paper, we use theoretical kinematics to systematically analyse an inverse folding problem of a toy about how to fold a piece of paper into a disc through a smaller hole without breaking it. The results show that some four-crease and six-crease patterns can achieve the expected function, and they can be easily folded with 1 degree of freedom (DOF). It not only opens up a new way to solve the inverse folding problem but also helps students to understand mechanisms and machine theory.

Original language	English
Pages (from-to)	933-943
Number of pages	11
Journal	Mechanical Sciences
Volume	12
Issue number	2
DOIs	https://doi.org/10.5194/ms-12-933-2021
Publication status	Published - 4 Oct 2021

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title = "A toy-inspired kirigami pattern and its kinematic performance by applying mechanisms and machine theory",

abstract = "Origami that can form various shapes by setting simple creases on the paper and folding along these creases has a lot of applications from the fields of art to engineering. The inverse problem of origami that determines the distribution of creases based on the desired shape is very complicated. In this paper, we use theoretical kinematics to systematically analyse an inverse folding problem of a toy about how to fold a piece of paper into a disc through a smaller hole without breaking it. The results show that some four-crease and six-crease patterns can achieve the expected function, and they can be easily folded with 1 degree of freedom (DOF). It not only opens up a new way to solve the inverse folding problem but also helps students to understand mechanisms and machine theory.",

author = "Weiwei Lin and Kunjing Chen and Yuan Gao and Aihua Chen and Fufu Yang and Huijuan Feng",

note = "Financial support: This research has been supported by the National Natural Science Foundation of China (grant no. 51905101), the Natural Science Foundation of Fujian Province (grant no. 2019J01209), and the Fuzhou University (2021 First-class Undergraduate Course Construction).",

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AU - Lin, Weiwei

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AU - Gao, Yuan

AU - Chen, Aihua

AU - Yang, Fufu

AU - Feng, Huijuan

N1 - Financial support: This research has been supported by the National Natural Science Foundation of China (grant no. 51905101), the Natural Science Foundation of Fujian Province (grant no. 2019J01209), and the Fuzhou University (2021 First-class Undergraduate Course Construction).

PY - 2021/10/4

Y1 - 2021/10/4

N2 - Origami that can form various shapes by setting simple creases on the paper and folding along these creases has a lot of applications from the fields of art to engineering. The inverse problem of origami that determines the distribution of creases based on the desired shape is very complicated. In this paper, we use theoretical kinematics to systematically analyse an inverse folding problem of a toy about how to fold a piece of paper into a disc through a smaller hole without breaking it. The results show that some four-crease and six-crease patterns can achieve the expected function, and they can be easily folded with 1 degree of freedom (DOF). It not only opens up a new way to solve the inverse folding problem but also helps students to understand mechanisms and machine theory.

AB - Origami that can form various shapes by setting simple creases on the paper and folding along these creases has a lot of applications from the fields of art to engineering. The inverse problem of origami that determines the distribution of creases based on the desired shape is very complicated. In this paper, we use theoretical kinematics to systematically analyse an inverse folding problem of a toy about how to fold a piece of paper into a disc through a smaller hole without breaking it. The results show that some four-crease and six-crease patterns can achieve the expected function, and they can be easily folded with 1 degree of freedom (DOF). It not only opens up a new way to solve the inverse folding problem but also helps students to understand mechanisms and machine theory.

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A toy-inspired kirigami pattern and its kinematic performance by applying mechanisms and machine theory

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