Miura-Ori Inspired Smooth Sheet Attachments for Zipper-Coupled Tubes
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 separ...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2022-07-01
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| Series: | Mathematics |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2227-7390/10/15/2643 |
| _version_ | 1797413111779557376 |
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| author | Dylan C. Webb Elissa Reynolds Denise M. Halverson Larry L. Howell |
| author_facet | Dylan C. Webb Elissa Reynolds Denise M. Halverson Larry L. Howell |
| author_sort | Dylan C. Webb |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-09T05:12:51Z |
| format | Article |
| id | doaj.art-4002c3154aa543fc86c56f4c814a23d8 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-09T05:12:51Z |
| publishDate | 2022-07-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-4002c3154aa543fc86c56f4c814a23d82023-12-03T12:47:39ZengMDPI AGMathematics2227-73902022-07-011015264310.3390/math10152643Miura-Ori Inspired Smooth Sheet Attachments for Zipper-Coupled TubesDylan C. Webb0Elissa Reynolds1Denise M. Halverson2Larry L. Howell3Department of Mathematics, Brigham Young University, Provo, UT 84602, USADepartment of Mathematics, Brigham Young University, Provo, UT 84602, USADepartment of Mathematics, Brigham Young University, Provo, UT 84602, USADepartment of Mechanical Engineering, Brigham Young University, Provo, UT 84602, USAZipper-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.https://www.mdpi.com/2227-7390/10/15/2643zipper-coupled tubesMiura-ori patterndeployable mechanismorigami inspired designsmooth sheet attachment |
| spellingShingle | Dylan C. Webb Elissa Reynolds Denise M. Halverson Larry L. Howell Miura-Ori Inspired Smooth Sheet Attachments for Zipper-Coupled Tubes Mathematics zipper-coupled tubes Miura-ori pattern deployable mechanism origami inspired design smooth sheet attachment |
| title | Miura-Ori Inspired Smooth Sheet Attachments for Zipper-Coupled Tubes |
| title_full | Miura-Ori Inspired Smooth Sheet Attachments for Zipper-Coupled Tubes |
| title_fullStr | Miura-Ori Inspired Smooth Sheet Attachments for Zipper-Coupled Tubes |
| title_full_unstemmed | Miura-Ori Inspired Smooth Sheet Attachments for Zipper-Coupled Tubes |
| title_short | Miura-Ori Inspired Smooth Sheet Attachments for Zipper-Coupled Tubes |
| title_sort | miura ori inspired smooth sheet attachments for zipper coupled tubes |
| topic | zipper-coupled tubes Miura-ori pattern deployable mechanism origami inspired design smooth sheet attachment |
| url | https://www.mdpi.com/2227-7390/10/15/2643 |
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