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Miura-Ori Inspired Smooth Sheet Attachments for Zipper-Coupled Tubes

Author

Listed:
  • Dylan C. Webb

    (Department of Mathematics, Brigham Young University, Provo, UT 84602, USA)

  • Elissa Reynolds

    (Department of Mathematics, Brigham Young University, Provo, UT 84602, USA)

  • Denise M. Halverson

    (Department of Mathematics, Brigham Young University, Provo, UT 84602, USA)

  • Larry L. Howell

    (Department of Mechanical Engineering, Brigham Young University, Provo, UT 84602, USA)

Abstract

Zipper-coupled tubes are a broadly applicable, deployable mechanism with an angular surface that can be smoothed by attaching an additional smooth sheet pattern. The existing design for the smooth sheet attachment, however, leaves small gaps that can only be covered by adding flaps that unfold separately, limiting applicability in situations requiring a seamless surface and simultaneous deployment. We provide a novel construction of the smooth sheet attachment that unfolds simultaneously with zipper-coupled tubes to cover the entire surface without requiring additional actuation and without inhibiting the tubes’ motion up to an ideal, unfolded state of stability. Furthermore, we highlight the mathematics underlying the design and motion of the new smooth sheet pattern, thereby demonstrating its rigid-foldability and compatibility with asymmetric zipper-coupled tubes.

Suggested Citation

  • Dylan C. Webb & Elissa Reynolds & Denise M. Halverson & Larry L. Howell, 2022. "Miura-Ori Inspired Smooth Sheet Attachments for Zipper-Coupled Tubes," Mathematics, MDPI, vol. 10(15), pages 1-15, July.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:15:p:2643-:d:874040
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    References listed on IDEAS

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    1. Yoonho Kim & Hyunwoo Yuk & Ruike Zhao & Shawn A. Chester & Xuanhe Zhao, 2018. "Printing ferromagnetic domains for untethered fast-transforming soft materials," Nature, Nature, vol. 558(7709), pages 274-279, June.
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