Technical Papers
Nov 28, 2018

Deployable Sandwich Surfaces with High Out-of-Plane Stiffness

Publication: Journal of Structural Engineering
Volume 145, Issue 2

Abstract

This paper presents a set of deployable origami tube structures that can create smooth functional surfaces while simultaneously maintaining a high out-of-plane stiffness both during and after deployment. First, a generalized geometric definition for these tubes is presented such that they can globally have straight, curved, or segmented profiles, while the tubes can locally have skewed and reconfigurable cross sections. Multiple tubes can be stacked to form continuous and smooth assemblies in order to enable applications, including driving surfaces, roofs, walls, and structural hulls. Three-point bending analyses and physical prototypes were used to explore how the orthogonal stiffness of the tubular structures depends on the geometric design parameters. The coupled tube structures typically had their highest out-of-plane stiffness when near to a fully deployed state. Tubes with skewed cross sections and more longitudinal variation (i.e., that had more zigzags) typically had a higher stiffness during deployment than tubes that were generally straight.

Get full access to this article

View all available purchase options and get full access to this article.

Acknowledgments

The first author would like to acknowledge support from the University of Michigan and the National Science Foundation (NSF) GRFP and GROW fellowship grants. The authors also acknowledge support from NSF Grant No. CMMI 1538830, the Japan Science and Technology Agency Presto program, and the Raymond Allen Jones Chair at the Georgia Institute of Technology.

References

Ballard, Z. C., E. J. Gerbo, A. P. Thrall, and B. J. Smith. 2016. “Behavior of sandwich panels in a deployable structure.” J. Struct. Eng. 142 (10): 04016073. https://doi.org/10.1061/(ASCE)ST.1943-541X.0001537.
Cai, J., X. Deng, Y. Xu, and J. Feng. 2015. “Geometry and motion analysis of origami-based deployable shelter structures.” J. Struct. Eng. 141 (10): 06015001. https://doi.org/10.1061/(ASCE)ST.1943-541X.0001238.
Cheung, K. C., T. Tachi, S. Calisch, and K. Miura. 2014. “Origami interleaved tube cellular materials.” Smart Mater. Struct. 23 (9): 094012. https://doi.org/10.1088/0964-1726/23/9/094012.
Del Grosso, A. E., and P. Basso. 2010. “Adaptive building skin structures.” Smart Mater. Struct. 19 (12): 124011. https://doi.org/10.1088/0964-1726/19/12/124011.
Filipov, E. T. 2016. “Tailoring stiffness of deployable origami structures.” Ph.D. thesis, Dept. of Civil and Environmental Engineering, Univ. of Illinois at Urbana–Champaign.
Filipov, E. T., K. Liu, T. Tachi, M. Schenk, and G. H. Paulino. 2017. “Bar and hinge models for scalable analysis of origami.” Int. J. Solid Struct. 124: 26–45. https://doi.org/10.1016/j.ijsolstr.2017.05.028.
Filipov, E. T., T. Tachi, and G. H. Paulino. 2015. “Origami tubes assembled into stiff, yet reconfigurable structures and metamaterials.” Proc. Natl. Acad. Sci. U.S.A. 112 (40): 12321–12326. https://doi.org/10.1073/pnas.1509465112.
Filipov, E. T., T. Tachi, and G. H. Paulino. 2016. “Origami tubes with reconfigurable polygonal cross-sections.” Proc. R. Soc. A 472 (2185): 20150607. https://doi.org/10.1098/rspa.2015.0607.
Gattas, J. M., W. Lv, and Y. Chen. 2017. “Rigid-foldable tubular arches.” Eng. Struct. 145: 246–253. https://doi.org/10.1016/j.engstruct.2017.04.037.
Gattas, J. M., W. Wu, and Z. You. 2013. “Miura-base rigid origami: Parameterizations of first-level derivative and piecewise geometries.” J. Mech. Des. 135 (11): 111011. https://doi.org/10.1115/1.4025380.
Gattas, J. M., and Z. You. 2015. “Geometric assembly of rigid-foldable morphing sandwich structures.” Eng. Struct. 94: 149–159. https://doi.org/10.1016/j.engstruct.2015.03.019.
Hull, T. C. 2012. Project origami: Activities for exploring mathematics. 2nd ed. Boca Raton, FL: CRC Press.
Lee, T. U., and J. M. Gattas. 2016. “Geometric design and construction of structurally stabilized accordion shelters.” J. Mech. Rob. 8 (3): 031009. https://doi.org/10.1115/1.4032441.
Martinez-Martin, F. J., and A. P. Thrall. 2014. “Honeycomb core sandwich panels for origami-inspired deployable shelters: Multi-objective optimization for minimum weight and maximum energy efficiency.” Eng. Struct. 69: 158–167. https://doi.org/10.1016/j.engstruct.2014.03.012.
Miura, K. 2009. “The science of Miura-ori: A review.” In Proc., 4th Int. Meeting of Origami Science, Mathematics, and Education, edited by R. J. Lang, 8799. Natick, MA: AK Peters.
Miura, K., and T. Tachi. 2010. “Synthesis of rigid-foldable cylindrical polyhedra.” In Proc., Int. Society for the Interdisciplinary Study of Symmetry, 204–313. Budapest, Hungary: International Society for the Interdisciplinary Study of Symmetry.
Morris, E., D. A. McAdams, and R. Malak. 2016. “The state of the art of origami-inspired products: A review.” In Proc., ASME IDETC/CIE Conf. New York: American Society of Mechanical Engineering.
Randall, C. L., E. Gultepe, and D. H. Gracias. 2012. “Self-folding devices and materials for biomedical applications.” Trends Biotech. 30 (3): 138–146. https://doi.org/10.1016/j.tibtech.2011.06.013.
Schenk, M., and S. D. Guest. 2013. “Geometry of Miura-folded metamaterials.” Proc. Natl. Acad. Sci. U.S.A. 110 (9): 3276–3281. https://doi.org/10.1073/pnas.1217998110.
Tachi, T. 2009. “One-DOF cylindrical deployable structures with rigid quadrilateral panels.” In Proc., Int. Association Shell Spatial Structures, 2295–2305. Madrid, Spain: International Association for Shell and Spatial Structures.
Tachi, T., E. T. Filipov, and G. H. Paulino. 2015. “Deployable folded-core sandwich panels guided by a generating surface.” In Proc., Int. Association Shell Spatial Structures. Madrid, Spain: International Association for Shell and Spatial Structures.
Tachi, T., M. Masubuchi, and M. Iwamoto. 2012. “Rigid origami structures with vacuumatics: Geometric considerations.” In Proc., Int. Association Shell Spatial Structures-APCS. Madrid, Spain: International Association for Shell and Spatial Structures.
Thün, G., K. Velikov, C. Ripley, L. Sauvé, and W. McGee. 2012. “Soundspheres: Resonant chamber.” Proc. ACM SIGGRAPH Art Gallery 45 (4): 348357. https://doi.org/10.1162/LEON_a_00409.
Tyas, A., A. V. Pichugin, and M. Gilbert. 2011. “Optimum structure to carry a uniform load between pinned supports: Exact analytical solution.” Proc. R. Soc. London A 467 (2128): 1101–1120. https://doi.org/10.1098/rspa.2010.0376.
Woodruff, J., and P. Brown. 2009. “Connecticut Science Center by César Pelli & Associates.” Accessed October 10, 2016. https://www.woodruff-brown.com/.

Information & Authors

Information

Published In

Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 145Issue 2February 2019

History

Received: Sep 14, 2017
Accepted: Jul 11, 2018
Published online: Nov 28, 2018
Published in print: Feb 1, 2019
Discussion open until: Apr 28, 2019

Permissions

Request permissions for this article.

Authors

Affiliations

Evgueni T. Filipov, A.M.ASCE [email protected]
Assistant Professor, Dept. of Civil and Environmental Engineering, Univ. of Michigan, 2350 Hayward St., Ann Arbor, MI 48109 (corresponding author). Email: [email protected]
Glaucio H. Paulino, M.ASCE [email protected]
Raymond Allen Jones Chair, School of Civil and Environmental Engineering, Georgia Institute of Technology, 790 Atlantic Dr. NW, Atlanta, GA 30332. Email: [email protected]
Tomohiro Tachi [email protected]
Associate Professor, Graduate School of Arts and Sciences, Univ. of Tokyo, 3-8-1 Komaba, Meguro-Ku, Tokyo 153-8902, Japan. Email: [email protected]

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share