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Characteristic Analysis of Two Pairing Origami Polyhedrons and Their Application to Beverage Containers

Received: 2 November 2022     Accepted: 21 November 2022     Published: 29 November 2022
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Abstract

Producing industrial goods with origami structure, such as cans or bottles which can be folded neatly after drinking up, is an idea anyone could easily think of. However, this idea has not been put in practical use yet. Recently, Tachi-Miura polyhedron (TMP) is gaining attention as a 3-dimensional version of Miura-Ori. Meanwhile, Nojima Polyhedron (NP) has been found to be similar as TMP and it is considered that both are able to be analyzed from the point of pairing origami structures proposed by Nojima. The pairing origami is generated by sticking the symmetry 2-dimensional parts to each other to create 3-dimensional shapes. In this study, NP and TMP are focused on and the possibility of the idea is examined. NP which is a mirror symmetry structure and TMP which is a glide symmetry structure, both can be folded not only in the axial but also in the radial direction, and so it would be convenient if they can be applied to beverage containers. In this study, whether both structures are rigid folding or not is investigated geometrically, and then how this gives influence on the energy absorbing characteristics is considered quantically. In the generation of the model, since NP is not rigid folding, a model with accurate coordinates cannot be established because deformation occurs on the surface at the folding stage, so the coordinates are determined by approximation. On the other hand, in the case of TMP, the coordinates of each point can be accurately indicated by parameters, so a model with accurate coordinates is established. Moreover, an engineering possibility to apply both structures in beverage containers is explored by studying their crushing characteristics on simulation. As a result, whether a rigid folding or not has some influence on its deformation mode, however it is shown that it has no influence on the purpose to investigate its possibility for industrialization. This is the first step to make sure the effective usages of the foldable pairing origami structure.

Published in International Journal of Mechanical Engineering and Applications (Volume 10, Issue 6)
DOI 10.11648/j.ijmea.20221006.13
Page(s) 144-159
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2022. Published by Science Publishing Group

Keywords

Origami Engineering, Energy Absorption Property, Rigid Folding, 4 Folding Lines Type, 6 Folding Lines Type, Reversed Spiral Origami Structure, Nojima Polyhedron, Tachi-Miura Polyhedron

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Cite This Article
  • APA Style

    Aya Abe, Ichiro Hagiwara, Yang Yang, Chie Nara. (2022). Characteristic Analysis of Two Pairing Origami Polyhedrons and Their Application to Beverage Containers. International Journal of Mechanical Engineering and Applications, 10(6), 144-159. https://doi.org/10.11648/j.ijmea.20221006.13

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    ACS Style

    Aya Abe; Ichiro Hagiwara; Yang Yang; Chie Nara. Characteristic Analysis of Two Pairing Origami Polyhedrons and Their Application to Beverage Containers. Int. J. Mech. Eng. Appl. 2022, 10(6), 144-159. doi: 10.11648/j.ijmea.20221006.13

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    AMA Style

    Aya Abe, Ichiro Hagiwara, Yang Yang, Chie Nara. Characteristic Analysis of Two Pairing Origami Polyhedrons and Their Application to Beverage Containers. Int J Mech Eng Appl. 2022;10(6):144-159. doi: 10.11648/j.ijmea.20221006.13

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  • @article{10.11648/j.ijmea.20221006.13,
      author = {Aya Abe and Ichiro Hagiwara and Yang Yang and Chie Nara},
      title = {Characteristic Analysis of Two Pairing Origami Polyhedrons and Their Application to Beverage Containers},
      journal = {International Journal of Mechanical Engineering and Applications},
      volume = {10},
      number = {6},
      pages = {144-159},
      doi = {10.11648/j.ijmea.20221006.13},
      url = {https://doi.org/10.11648/j.ijmea.20221006.13},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijmea.20221006.13},
      abstract = {Producing industrial goods with origami structure, such as cans or bottles which can be folded neatly after drinking up, is an idea anyone could easily think of. However, this idea has not been put in practical use yet. Recently, Tachi-Miura polyhedron (TMP) is gaining attention as a 3-dimensional version of Miura-Ori. Meanwhile, Nojima Polyhedron (NP) has been found to be similar as TMP and it is considered that both are able to be analyzed from the point of pairing origami structures proposed by Nojima. The pairing origami is generated by sticking the symmetry 2-dimensional parts to each other to create 3-dimensional shapes. In this study, NP and TMP are focused on and the possibility of the idea is examined. NP which is a mirror symmetry structure and TMP which is a glide symmetry structure, both can be folded not only in the axial but also in the radial direction, and so it would be convenient if they can be applied to beverage containers. In this study, whether both structures are rigid folding or not is investigated geometrically, and then how this gives influence on the energy absorbing characteristics is considered quantically. In the generation of the model, since NP is not rigid folding, a model with accurate coordinates cannot be established because deformation occurs on the surface at the folding stage, so the coordinates are determined by approximation. On the other hand, in the case of TMP, the coordinates of each point can be accurately indicated by parameters, so a model with accurate coordinates is established. Moreover, an engineering possibility to apply both structures in beverage containers is explored by studying their crushing characteristics on simulation. As a result, whether a rigid folding or not has some influence on its deformation mode, however it is shown that it has no influence on the purpose to investigate its possibility for industrialization. This is the first step to make sure the effective usages of the foldable pairing origami structure.},
     year = {2022}
    }
    

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  • TY  - JOUR
    T1  - Characteristic Analysis of Two Pairing Origami Polyhedrons and Their Application to Beverage Containers
    AU  - Aya Abe
    AU  - Ichiro Hagiwara
    AU  - Yang Yang
    AU  - Chie Nara
    Y1  - 2022/11/29
    PY  - 2022
    N1  - https://doi.org/10.11648/j.ijmea.20221006.13
    DO  - 10.11648/j.ijmea.20221006.13
    T2  - International Journal of Mechanical Engineering and Applications
    JF  - International Journal of Mechanical Engineering and Applications
    JO  - International Journal of Mechanical Engineering and Applications
    SP  - 144
    EP  - 159
    PB  - Science Publishing Group
    SN  - 2330-0248
    UR  - https://doi.org/10.11648/j.ijmea.20221006.13
    AB  - Producing industrial goods with origami structure, such as cans or bottles which can be folded neatly after drinking up, is an idea anyone could easily think of. However, this idea has not been put in practical use yet. Recently, Tachi-Miura polyhedron (TMP) is gaining attention as a 3-dimensional version of Miura-Ori. Meanwhile, Nojima Polyhedron (NP) has been found to be similar as TMP and it is considered that both are able to be analyzed from the point of pairing origami structures proposed by Nojima. The pairing origami is generated by sticking the symmetry 2-dimensional parts to each other to create 3-dimensional shapes. In this study, NP and TMP are focused on and the possibility of the idea is examined. NP which is a mirror symmetry structure and TMP which is a glide symmetry structure, both can be folded not only in the axial but also in the radial direction, and so it would be convenient if they can be applied to beverage containers. In this study, whether both structures are rigid folding or not is investigated geometrically, and then how this gives influence on the energy absorbing characteristics is considered quantically. In the generation of the model, since NP is not rigid folding, a model with accurate coordinates cannot be established because deformation occurs on the surface at the folding stage, so the coordinates are determined by approximation. On the other hand, in the case of TMP, the coordinates of each point can be accurately indicated by parameters, so a model with accurate coordinates is established. Moreover, an engineering possibility to apply both structures in beverage containers is explored by studying their crushing characteristics on simulation. As a result, whether a rigid folding or not has some influence on its deformation mode, however it is shown that it has no influence on the purpose to investigate its possibility for industrialization. This is the first step to make sure the effective usages of the foldable pairing origami structure.
    VL  - 10
    IS  - 6
    ER  - 

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Author Information
  • Meiji Institute for Advanced Study of Mathematical Sciences, Meiji University, Tokyo, Japan

  • Meiji Institute for Advanced Study of Mathematical Sciences, Meiji University, Tokyo, Japan

  • Meiji Institute for Advanced Study of Mathematical Sciences, Meiji University, Tokyo, Japan

  • Meiji Institute for Advanced Study of Mathematical Sciences, Meiji University, Tokyo, Japan

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