Technical Papers
Oct 17, 2024

Stabilizing the Lunar Flagpole by Optimizing the Structure and Insertion Method

Publication: Journal of Aerospace Engineering
Volume 38, Issue 1

Abstract

The act of planting a flag on the moon carries immense significance in the realm of human space exploration. Therefore, this paper develops a discrete-element method–finite-element method (DEM–FEM) coupling algorithm to simulate the flag planting process. To enhance the stability of a flagpole installed on the lunar surface, the structure of the flagpole is optimized, with the bottom end designed as a cone and a stabilizer bracket added. Three flag insertion methods are proposed: direct insertion, percussion insertion, and rotation insertion. The stability of the flagpole given external disturbances is thoroughly discussed. The results demonstrate that the cone design at the bottom of the flagpole effectively enhances its depth in the soil. Although the addition of a stabilizer bracket does not facilitate the flagpole’s penetration into the lunar surface, it increases its resistance to external interference. Given appropriate conditions, the three insertion methods can significantly increase the depth of the flagpole into the soil. The stability analysis reveals that, in the face of constant external interference, flagpoles with greater depth experience less horizontal displacement and require a larger external load to collapse, indicating enhanced stability. Overall, this research provides practical solutions and theoretical references for the manual placement of flags on the lunar surface.

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Data Availability Statement

All data, models, and code generated or used during the study appear in the published article.

Acknowledgments

This study is financially supported by the National Natural Science Foundation of China (Grant Nos. 12302512, 12072217) and the Fundamental Research Program of Shanxi Province, China (Grant No. 202203021222118).

References

Closs, D. J., and R. L. Cook. 1987. “Multi-stage transportation consolidation analysis using dynamic simulation.” Int. J. Phys. Distribution Mater. Manage. 17 (3): 28–45. https://doi.org/10.1108/eb014657.
Duda, P., and T. Nakamura. 2017. “Identification of the transient temperature and stress distribution in an atmospheric reentry capsule assuming temperature-dependent material properties.” Aerosp. Sci. Technol. 67 (Aug): 265–272. https://doi.org/10.1016/j.ast.2017.04.018.
Favier, J. F., and M. Kremmer. 2001. “A method for representing boundaries in discrete element modelling—Part I: Geometry and contact detection.” Int. J. Numer. Methods Eng. 51 (12): 1407–1421. https://doi.org/10.1002/nme.184.
Feng, Y. T. 2023. “Thirty years of developments in contact modelling of non-spherical particles in DEM: A selective review.” Acta Mech. Sin. 39 (1): 722343. https://doi.org/10.1007/s10409-022-22343-x.
Forsstrom, D., and P. Jonsen. 2016. “Calibration and validation of a large scale abrasive wear model by coupling DEM-FEM: Local failure prediction from abrasive wear of tipper bodies during unloading of granular material.” Eng. Fail. Anal. 66 (Aug): 274–283. https://doi.org/10.1016/j.engfailanal.2016.04.007.
Haddad, H., M. Guessasma, and J. Fortin. 2014. “Heat transfer by conduction using DEM–FEM coupling method.” Comput. Mater. Sci. 81 (Jan): 339–347. https://doi.org/10.1016/j.commatsci.2013.08.033.
Hou, X., P. Xue, Y. Wang, P. Cao, and T. Tang. 2018. “Theoretical and discrete element simulation studies of aircraft landing impact.” J. Braz. Soc. Mech. Sci. Eng. 40 (Feb): 114–129. https://doi.org/10.1007/s40430-018-0983-1.
Hu, L., G. M. Hu, Z. Q. Fang, and Y. Zhang. 2013. “A new algorithm for contact detection between spherical particle and triangulated mesh boundary in discrete element method simulations.” Int. J. Numer. Methods Eng. 94 (8): 787–804. https://doi.org/10.1002/nme.4487.
Ji, S., S. Di, and S. Liu. 2015. “Analysis of ice load on conical structure with discrete element method.” Eng. Comput. 32 (4): 1121–1134. https://doi.org/10.1108/EC-04-2014-0090.
Ji, S., and S. Liang. 2021. “DEM-FEM-MBD coupling analysis of landing process of lunar lander considering landing mode and buffering mechanism.” Adv. Space Res. 68 (3): 1627–1643. https://doi.org/10.1016/j.asr.2021.03.034.
Liang, S., Y. T. Feng, T. Zhao, and Z. Wang. 2023. “On energy transfer and dissipation of intruder impacting granular materials based on discrete element simulations.” Powder Technol. 419 (Apr): 118347. https://doi.org/10.1016/j.powtec.2023.118347.
Liang, S., and S. Ji. 2021. “DEM-FEM coupling analysis of safe landing of reentry capsule considering landing attitude and rebound response.” J. Aerosp. Eng. 34 (4): 04021035. https://doi.org/10.1061/(ASCE)AS.1943-5525.0001267.
Liang, S., and S. Ji. 2022. “Coordinated time-stepping method for coupled DEM–FEM–MBD algorithm.” Int. J. Comput. Methods 19 (3): 2150067. https://doi.org/10.1142/S0219876221500675.
Long, X., S. Liu, and S. Ji. 2021. “Breaking characteristics of ice cover and dynamic ice load on upward–downward conical structure based on DEM simulations.” Comput. Part. Mech. 8 (Mar): 297–313. https://doi.org/10.1007/s40571-020-00331-8.
Park, J.-W., and J.-J. Song. 2009. “Numerical simulation of a direct shear test on a rock joint using a bonded-particle model.” Int. J. Rock Mech. Min. Sci. 46 (8): 1315–1328. https://doi.org/10.1016/j.ijrmms.2009.03.007.
Pásthy, L., Z. J. Farkas, T. Haba, and K. Tamás. 2024. “Development of a multi-way coupled discrete-finite element method simulation procedure for modelling soil-passive vibration tool interaction.” Comput. Electron. Agric. 216 (Jan): 108459. https://doi.org/10.1016/j.compag.2023.108459.
Platoff, A. M. 1994. “Where no flag has gone before political and technical aspects of placing a flag on the Moon.” Raven: J. Vexillology 1: 3–16.
Potyondy, D. O., and P. A. Cundall. 2004. “A bonded-particle model for rock.” Int. J. Rock Mech. Min. Sci. 41 (8): 1329–1364. https://doi.org/10.1016/j.ijrmms.2004.09.011.
Praegla, P. M., T. Mair, A. Wimmer, S. L. Fuchs, M. F. Zaeh, W. A. Wall, and C. Meier. 2024. “Additively manufactured structures with powder inclusions for controllable dissipation: The critical influence of packing density.” Powder Technol. 437 (Mar): 119587. https://doi.org/10.1016/j.powtec.2024.119587.
Ramírez, R., T. Pöschel, N. V. Brilliantov, and T. Schwager. 1999. “Coefficient of restitution of colliding viscoelastic spheres.” Phys. Rev. E 60 (4): 4465. https://doi.org/10.1103/PhysRevE.60.4465.
Rigobello, R., H. B. Coda, and J. M. Neto. 2014. “A 3D solid-like frame finite element applied to steel structures under high temperatures.” Finite Elem. Anal. Des. 91 (Nov): 68–83. https://doi.org/10.1016/j.finel.2014.07.005.
Santaguida, L., and Z. H. Zhu. 2023. “Development of air-bearing microgravity testbed for autonomous spacecraft rendezvous and robotic capture control of a free-floating target.” Acta Astronaut. 203 (Feb): 319–328. https://doi.org/10.1016/j.actaastro.2022.11.056.
Ueda, T. 2023. “Reproducibility of the repose angle, porosity, and coordination number of particles generated by spherical harmonic-based principal component analysis using discrete element simulation.” Powder Technol. 415 (Feb): 118143. https://doi.org/10.1016/j.powtec.2022.118143.
Wang, S., and S. Ji. 2018. “Coupled DEM–FEM analysis of ice-induced vibrations of a conical jacket platform based on the domain decomposition method.” Int. J. Offshore Polar Eng. 28 (2): 190–199. https://doi.org/10.17736/ijope.2018.ik03.
Yang, P., M. Zang, H. Zeng, and X. Guo. 2020. “The interactions between an off-road tire and granular terrain: GPU-based DEM-FEM simulation and experimental validation.” Int. J. Mech. Sci. 179 (Aug): 105634. https://doi.org/10.1016/j.ijmecsci.2020.105634.
Zeng, H., W. Xu, M. Zang, and P. Yang. 2020. “Calibration of DEM-FEM model parameters for traction performance analysis of an off-road tire on gravel terrain.” Powder Technol. 362 (Feb): 350–361. https://doi.org/10.1016/j.powtec.2019.12.006.
Zhang, M., C. Liu, B. Gao, and X. Li. 2024. “A combined DEM-FEM method for simulating the actual peen forming process to estimate forming effectiveness.” J. Manuf. Processes 109 (Jan): 115–127. https://doi.org/10.1016/j.jmapro.2023.12.003.
Zheng, G., H. Nie, J. Chen, C. Chen, and H. P. Lee. 2018. “Dynamic analysis of lunar lander during soft landing using explicit finite element method.” Acta Astronaut. 148 (Jul): 69–81. https://doi.org/10.1016/j.actaastro.2018.04.014.
Zheng, Q. J., M. H. Xu, K. W. Chu, R. H. Pan, and A. B. Yu. 2017a. “A coupled FEM/DEM model for pipe conveyor systems: Analysis of the contact forces on belt.” Powder Technol. 314 (Jun): 480–489. https://doi.org/10.1016/j.powtec.2016.09.070.
Zheng, Z., M. Zang, S. Chen, and C. Zhao. 2017b. “An improved 3D DEM-FEM contact detection algorithm for the interaction simulations between particles and structures.” Powder Technol. 305 (Jan): 308–322. https://doi.org/10.1016/j.powtec.2016.09.076.

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Go to Journal of Aerospace Engineering
Journal of Aerospace Engineering
Volume 38Issue 1January 2025

History

Received: May 7, 2024
Accepted: Aug 5, 2024
Published online: Oct 17, 2024
Published in print: Jan 1, 2025
Discussion open until: Mar 17, 2025

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Research Associate, Institute of Applied Mechanics, Shanxi Key Laboratory of Material Strength and Impact, Taiyuan Univ. of Technology, Taiyuan 030024, China (corresponding author). ORCID: https://orcid.org/0000-0002-4696-5516. Email: [email protected]
Professor, Zienkiewicz Centre for Computational Engineering, Swansea Univ., Swansea SA1 8EP, UK. ORCID: https://orcid.org/0000-0002-6396-8698. Email: [email protected]
Zhihua Wang [email protected]
Professor, Institute of Applied Mechanics, College of Mechanical and Vehicle Engineering, Shanxi Key Laboratory of Material Strength and Impact, Taiyuan Univ. of Technology, Taiyuan 030024, China. Email: [email protected]

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