Technical Papers
Nov 14, 2022

Assessing the Predictive Capability of the NNO Ballistic Limit Equation for Low-Density Projectile Impact

Publication: Journal of Aerospace Engineering
Volume 36, Issue 1

Abstract

The design of nearly all Earth-orbiting spacecraft includes some sort of added shielding that protects the spacecraft against impacts by meteoroids and orbital debris. The effectiveness of the shielding is typically assessed using ballistic limit equations (BLEs) that are developed using data from high-speed impact tests on key spacecraft components and elements. These equations predict whether or not a particular system or structural element will sustain a critical failure following a specific impact event. As such, they are essential components of spacecraft system design as well as any quantitative spacecraft risk assessments that may need to be performed as part of that design process. Previous high-speed impact test programs have typically used medium-to-high density materials as surrogates for the kinds of materials that populate the orbital debris environment surrounding the Earth. However, with the advent of several new interplanetary spacecraft being designed, it is important to be able to predict and assess the performance of candidate spacecraft shields under impacts by projectiles made of materials that such spacecraft might be expected to encounter throughout their missions. To begin to address that issue, we assess how well a frequently used BLE, the New Nonoptimum (NNO) BLE, is able to predict the response of a commonly used shielding system when it is subjected to less dense materials that are often used as surrogates for icy meteoroids. In the end, it is shown that this BLE might require some modification when used to predict the response of such a system under the impact these kinds of projectiles.

Get full access to this article

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

Data Availability Statement

All data used in this study appear either in this article or in a publicly available document referenced in this article.

Acknowledgments

The author is grateful for the support provided by the NASA Engineering Safety Center for a portion of the work described herein.

References

Christiansen, E. L. 1986. Secondary impact hazard assessment. Rep. No. 86-128. Houston: Eagle Engineering.
Christiansen, E. L. 1993. “Design and performance equations for advanced meteoroid and debris shields.” Int. J. Impact Eng. 14 (4): 145–156. https://doi.org/10.1016/0734-743X(93)90016-Z.
Christiansen, E. L. 2003. Meteoroid/debris shielding. Tech. Rep. No. TP-2003-210788. Washington, DC: NASA.
Clough, N., A. R. McMillan, and S. Lieblein. 1966. “Material and geometry aspects of meteoroid armor protection for space radiator tubes.” In Proc., 7th Structures and Materials Conf. Reston, VA: American Institute of Aeronautics and Astronautics.
Coronado, R., M. N. Gibbins, M. A. Wright, and P. H. Stern. 1987. Space station integrated wall design and penetration damage control. Contractor Rep. No. CR-179165. Washington, DC: NASA.
Ferguson, C. W. 1966. Hypervelocity impact effects on liquid hydrogen tanks. Contractor Rep. No. CR-54852. Washington, DC: NASA.
Friend, W. H., C. L. Murphy, and P. S. Gough. 1969. Review of meteoroid-bumper interaction studies at McGill University. Contractor Rep. No. CR-54858. Washington, DC: NASA.
Fujiwara, A., and T. Kadono. 1990. “Penetration of hypervelocity projectiles into aluminum multi-sheet stacks.” Jpn. J. Appl. Phys. 29 (8): 1620–1624. https://doi.org/10.1143/JJAP.29.1620.
Gough, P. S. 1970. Meteoroid-bumper interactions program. Contractor Rep. No. CR-72800. Washington, DC: NASA.
Lundeberg, J. F., P. H. Stern, and R. J. Bristow. 1965. Meteoroid protection for spacecraft structures. Contractor Rep. No. CR-54201. Washington, DC: NASA.
McMillan, A. R. 1968. Experimental investigations of simulated meteoroid damage to various spacecraft structures. Washington, DC: NASA.
Nahra, H. K., et al. 2010. Hypervelocity impact of unstressed and stressed titanium in a Whipple configuration in support of the Orion crew exploration vehicle service module propellant tanks. Tech Memorandum TM-2010-216804. Washington, DC: NASA.
Schonberg, W. P. 2016. “Concise history of ballistic limit equations for multi-wall spacecraft shielding.” Rev. Hum. Space Explor. 1 (1): 46–54. https://doi.org/10.1016/j.reach.2016.06.001.
Schonberg, W. P. 2020. “Improved ballistic limit equations for high-speed non-aluminum projectiles impacting aluminum dual-wall spacecraft systems.” SN Appl. Sci. 2 (8): 1426. https://doi.org/10.1007/s42452-020-03238-4.
Schonberg, W. P., and L. E. Compton. 2008. “Application of the NASA/JSC Whipple shield ballistic limit equations to dual-wall targets under hypervelocity impact.” Int. J. Impact Eng. 35 (4): 1792–1798. https://doi.org/10.1016/j.ijimpeng.2008.07.054.
Schonberg, W. P., and K. Darzi. 1992. “Effect of projectile shape and material on the hypervelocity impact response of aluminum dual-wall structures.” J. Aerosp. Eng. 5 (4): 405–424. https://doi.org/10.1061/(ASCE)0893-1321(1992)5:4(405).
Schonberg, W. P., and J. M. Ratliff. 2015. “Hypervelocity impact of a pressurized vessel: Comparison of ballistic limit equation predictions with test data and rupture limit equation development.” Acta Astronaut. 115 (Jan): 400–406. https://doi.org/10.1016/j.actaastro.2015.06.013.

Information & Authors

Information

Published In

Go to Journal of Aerospace Engineering
Journal of Aerospace Engineering
Volume 36Issue 1January 2023

History

Received: Jun 29, 2022
Accepted: Sep 8, 2022
Published online: Nov 14, 2022
Published in print: Jan 1, 2023
Discussion open until: Apr 14, 2023

Permissions

Request permissions for this article.

Authors

Affiliations

William P. Schonberg, F.ASCE [email protected]
Professor, Dept. of Civil Engineering, Missouri Univ. of Science and Technology. 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