Technical Notes
Oct 27, 2021

Analysis of a Celestial Icosahedron

Publication: Journal of Engineering Mechanics
Volume 148, Issue 1

Abstract

This paper presents the experimentation and finite-element analysis of a unique structure called a celestial icosahedron. The structure is being considered in a project related to lighter-than-air vehicles. The dimensions of the vehicle are adjusted to fit into an additive manufactured facility. A celestial is made up of nine rings symmetrically placed in a spherical arrangement. This is one of several structures that have been considered in the overall project. The uniqueness of this structure lies in its makeup; nine rings combined together through an additive manufactured (AM) facility. The structure was experimentally loaded in a MTS Systems Corporation machine under a concentrated compression load. A finite-element analysis was carried out, and the results compared with the experiment. The model considers the effect of anisotropic characteristics through the use of the rule of mixtures based on the presence of compression and tension moduli in specific portions of the load distribution yielding a generalized effective modulus. It was found, with the use of commercially available software, that the results of nonlinear analysis compared reasonably well with the experimental findings.

Get full access to this article

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

Data Availability Statement

Data to form Figs. 11 and 14 are available from the corresponding authors upon reasonable request.

Acknowledgments

The authors acknowledge the financial support from the Air Force Office of Scientific Research under JON 21-568. We would also like to thank Travis Shelton for his assistance in manufacturing the specimens.

References

Adorno-Rodriguez, R. 2014. “Nonlinear structural analysis of an icosahedron and its application to lighter than air vehicles under vacuum.” Master thesis, Dept. of Aeronautics and Astronautics, Air Force Institute of Technology.
Bhandari, S., and R. Lopez-Anido. 2018. “Finite element analysis of thermoplastic polymer extrusion 3D printed material for mechanical property prediction.” Addit. Manuf. 22 (Aug): 187–196. https://doi.org/10.1016/j.addma.2018.05.009.
Cranston, B. C. 2016. “Conceptual design, structural analysis, and design space exploration of a vacuum lighter than air vehicle.” Ph.D. dissertation, Dept. of Aeronautics and Astronautics, Air Force Institute of Technology.
Cranston, B. C., M. Alghofaily, and A. Palazotto. 2017. “Design and structural analysis of unique structures under an internal vacuum.” Aerosp. Sci. Technol. 68 (Sep): 68–76. https://doi.org/10.1016/j.ast.2017.04.028.
Dassault Systems. 2014. Analysis user’s manual version Vol 6.13. Vélizy-Villacoublay, France: Dassault Systems.
Graves, D. P. 2019. “Initial stage of fluid-structure interaction of a celestial icosahedron shaped vacuum lighter than air vehicle.” Master thesis, Dept. of Aeronautics and Astronautics, Air Force Institute of Technology.
Graves, D. P., K. D. Moore, and A. N. Palazotto. 2019. “Analysis of a celestial icosahedron shaped vacuum lighter than air vehicle.” Aerosp. Sci. Technol. 95 (Dec): 105344. https://doi.org/10.1016/j.ast.2019.105344.
Greenoe, K. D. 2020. “Analysis of additively manufactured rings under compression loading for use in a vacuum lighter than air vehicle structure.” Master thesis, Dept. of Aeronautics and Astronautics, Air Force Institute of Technology.
Metlen, T. T. 2013. “Design of a lighter than air vehicle that achieves positive buoyancy in air using a vacuum.” Master thesis, Dept. of Aeronautics and Astronautics, Air Force Institute of Technology.
Moomey, E. R. 2005. “Technical feasibility of loitering lighter-than-air near-space maneuvering vehicles.” Master thesis, Dept. of Aeronautics and Astronautics, Air Force Institute of Technology.
Moore, K. D. 2018. “Quasi-static nonlinear analysis of a celestial icosahedron shaped vacuum lighter than air vehicle.” Master thesis, Dept. of Aeronautics and Astronautics, Air Force Institute of Technology.
Motaparti, K. P. 2016. Effect of build parameters on mechanical properties of Ultem 9085 parts by fused deposition modeling. Rolla, MO: Missouri Univ. of Science and Technology.
Noel, D. 1983. “Lighter than air craft using vacuum.” Corres. Spec. Sci. Technol. 6 (3): 262–266.
Shelton, T. E., Z. A. Willburn, C. R. Hartsfield, G. R. Cobb, J. T. Cerri, and R. A. Kemnitz. 2020. “Effects of thermal process parameters on mechanical interlayer strength for additively manufactured Ultem 9085.” Polym. Test. 81 (5): 106255. https://doi.org/10.1016/j.polymertesting.2019.106255.
Stratasys. 2020. “Resin high-performance fused deposition modeling polyetherimide thermoplastic.” Accessed January 15, 2020. https://www.stratasys.com/materials/search/ultem9085.
Ypma, T. J. 1995. “Historical development of the Newton-Raphson method.” Soc. Indus. Appl. Math. Rev. 37 (4): 531–551.

Information & Authors

Information

Published In

Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 148Issue 1January 2022

History

Received: May 19, 2021
Accepted: Aug 31, 2021
Published online: Oct 27, 2021
Published in print: Jan 1, 2022
Discussion open until: Mar 27, 2022

Permissions

Request permissions for this article.

Authors

Affiliations

Torin Quick [email protected]
Graduate Student, Aeronautics and Astronautics, Air Force Institute of Technology, Wright Patterson AFB, OH 45433. Email: [email protected]
Distinguished Professor, Aerospace Engineering, Air Force Institute of Technology, Wright Patterson AFB, OH 45433 (corresponding author). ORCID: https://orcid.org/0000-0003-0904-4619. 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.

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