A novel stiffness optimization model of space telescopic boom based on locking mechanism

Abstract

The deployable telescopic boom, whose mass and stiffness play crucial roles, is extensively used in the design of space-deployable structures. However, the most existing optimal design that neglects the influence of the locking mechanisms in boom joints cannot raise the whole stiffness while reducing the boom mass. To tackle this challenge, a novel optimization model, which utilizes the arrangement of the locking mechanisms to achieve synchronous improvement of the stiffness and mass, is proposed. The proposed optimization model incorporates a novel joint stiffness model developed based on an equivalent parallel mechanism that enables the consideration of multiple internal stiffness factors of the locking mechanisms and tubes, resulting in more accurate representations of the joint stiffness behavior. Comparative analysis shows that the proposed stiffness model achieves more than at least 11% improved accuracy compared with existing models. Furthermore, case verification shows that the proposed optimization model can improve stiffness while effectively reducing mass, and it is applied in boom optimization design.

Graphical abstract

Keywords

deployable telescopic boom / locking mechanism / stiffness model / clearance error / optimization model

References

[1] Yildiz K, Lesieutre G A. Sizing and prestress optimization of Class-2 tensegrity structures for space boom applications. Engineering with Computers, 2022, 38(2): 1451–1464

[2] BelvinW KStraubel MWilkieW KZanderM EFernandez J MHillebrandtM F. Advanced deployable structural systems for small satellites. In: Proceedings of NATO CSO STO Specialist Meeting AVT-257 /RSM-041 on Best Practices for Risk Reduction for Overall Space Systems. Belgium: NATO Science and Technology Organization, 2016

[3] LiuRTianD DengZ. Research actuality and the prospect of structure for space deployable antenna. Journal of Machine Design, 2010, 27(9): 1–10 (in Chinese)

[4] KiperGSoylemez E. Deployable space structures. In: Proceedings of IEEE RAST. Istanbul: Springer, 2009, 131–138

[5] Puig L, Barton A, Rando N. A review on large deployable structures for astrophysics missions. Acta Astronautica, 2010, 67(1–2): 12–26

[6] Ullrich R, McCauley J, Turin P, McKee K, Donokowski B. The stereo impact boom. Space Science Reviews, 2008, 136(1–4): 185–201

[7] ShiS CHe Q CJinM H. Design and experimental study on telescopic boom of the space manipulator. In: Huang Y A, Wu H, Liu H H, Yin Z P, eds. Intelligent Robotics and Applications. Cham: Springer, 2017: 707–716

[8] Pacini L, Kaufman D, Adams M, Lou M, Carey J. Next generation space telescope (NGST) pathfinder experiment inflatable sunshield in space (ISIS). SAE International, 1999, 108: 852–856

[9] TankersleyB. Maypole (hoop/column) deployable reflector concept development for 30 to 100 meter antenna. In: Proceedings of Conference on Advanced Technology for Future Space Systems. Hampton: AIAA, 1979

[10] MikulasMPappa RWarrenJRoseG. Telescoping solar array concept for achieving high packaging efficiency. In: Proceedings of 2nd AIAA Spacecraft Structures Conference. Kissimmee: AIAA, 2015

[11] Becchi P, Dellamico S. Design and testing of a deployable, retrievable boom for space applications. In: Proceedings of the 23rd Aerospace Mechanisms Symposium. Washington DC: NASA, 1989

[12] Schmid M, Aguirre M. Extendable retractable telescopic boom for deployable structures. In: Proceedings of the 20th Aerospace Mechanics Symposium. Washington DC: NASA, 1986

[13] Ji C, Liu J, Wu C, Zhao P, Chen K. Dynamic Analysis and parametric optimization of telescopic tubular mast applied on solar sail. Chinese Journal of Mechanical Engineering, 2023, 36(1): 43

[14] ZhaoCGuo H WLiuR QDengZ QLiB. Design and analysis of a cable-driven multistage orderly deployable/retractable space telescopic boom. In: Uhl T, ed. Advances in Mechanism and Machine Science. Cham: Springer, 2019: 2299–2308

[15] Xu K, Li L, Bai S, Yang Q, Ding X. Design and analysis of a metamorphic mechanism cell for multistage orderly deployable/retractable mechanism. Mechanism and Machine Theory, 2017, 111: 85–98

[16] Ding X, Li X. Design of a type of deployable/retractable mechanism using friction self-locking joint elements. Mechanism and Machine Theory, 2015, 92: 273–288

[17] Ding X, Xiao H, Yang Q, Li L, Xu K. Design and analysis of a cable-winding device driving large deployable mechanisms in astrophysics missions. Acta Astronautica, 2020, 169: 124–137

[18] ArenbergJFlynn JCohenALynchRCooperJ. Status of the JWST sunshield and spacecraft. In: Proceedings of Space Telescopes and Instrumentation 2016: Optical, Infrared, and Millimeter Wave. Edinburgh: SPIE, 2016, 9904

[19] Tian Y, Zhao Y, Li L, Yuan G, Xi F. Design and analysis of a multi-segment shape morphing mechanism. Journal of Mechanisms and Robotics, 2021, 13(2): 021004

[20] Lin R, Guo W. Type synthesis of reconfiguration parallel mechanisms transforming between trusses and mechanisms based on friction self-locking composite joints. Mechanism and Machine Theory, 2022, 168: 104597

[21] Zhao Y, Hao G, Chai L, Tian Y, Xi F. A compliant-mechanism-based lockable prismatic joint for high-load morphing structures. Mechanism and Machine Theory, 2022, 178: 105083

[22] Mamalis A G, Manolakos D E, Ioannidis M B, Papapostolou D P. On the response of thin-walled CFRP composite tubular components subjected to static and dynamic axial compressive loading: experimental. Composite Structures, 2005, 69(4): 407–420

[23] Houliara S, Karamanos S A. Buckling and post-buckling of long pressurized elastic thin-walled tubes under in-plane bending. International Journal of Non-linear Mechanics, 2006, 41(4): 491–511

[24] Thomson M W. Deployable and retractable telescoping tubular structure development. In: Proceedings of the 28th Aerospace Mechanism Symposium. Washington DC: NASA, 1993, 323–338

[25] MobremMSpier C. Design and performance of the telescopic tubular mast. In: Proceedings of the 41st Aerospace Mechanisms Symposium. Washington DC: NASA, 2012, 127–140

[26] Xiao H, Yang Q, Ren S, Li L, Xu K, Ding X. Design analysis and stiffness test of a large telescopic deployable mechanism joint. Journal of Mechanical Engineering, 2018, 54(7): 1–10 (in Chinese)

[27] Zhang Y, Ru W, Yang G, Li N. Deployment analysis considering the cable-net tension effect for deployable antennas. Aerospace Science and Technology, 2016, 48: 193–202

[28] Dai L, Xiao R. Optimal design and analysis of deployable antenna truss structure based on dynamic characteristics restraints. Aerospace Science and Technology, 2020, 106: 106086

[29] Li Y, Wei J, Dai L. Structural design and dynamic analysis of new ultra-large planar deployable antennas in space with locking systems. Aerospace Science and Technology, 2020, 106: 106082

[30] Yan H S, Kang C H. Configuration synthesis of mechanisms with variable topologies. Mechanism and Machine Theory, 2009, 44(5): 896–911

[31] Dai J S, Rees Jones J. Mobility in metamorphic mechanisms of foldable/erectable kinds. Journal of Mechanical Design, 1999, 121(3): 375–382

[32] Pashkevich A, Chablat D, Wenger P. Stiffness analysis of overconstrained parallel manipulators. Mechanism and Machine Theory, 2009, 44(5): 966–982

[33] Yang C, Li Q, Chen Q, Xu L. Elastostatic stiffness modeling of overconstrained parallel manipulators. Mechanism and Machine Theory, 2018, 122: 58–74

[34] XuYYaoJ JinLZhaoY. Method for Force analysis of the overconstrained parallel mechanism considering the link’s spatial composite elastic deformations. Journal of Mechanical Engineering, 2015, 51(7): 53–60 (in Chinese)

[35] Xu Y, Liu W, Yao J, Zhao Y. A method for force analysis of the overconstrained lower mobility parallel mechanism. Mechanism and Machine Theory, 2015, 88: 31–48

[36] Fan S, Fan S. Approximate stiffness modelling and stiffness defect identification for a heavy-load parallel manipulator. Robotica, 2019, 37(6): 1120–1142

[37] PopovV L. Contact Mechanics and Friction: Physical Principles and Applications. Heidelberg: Springer, 2010

[38] Cammarata A. A novel method to determine position and orientation errors in clearance-affected overconstrained mechanisms. Mechanism and Machine Theory, 2017, 118: 247–264

[39] Liu Q, Lv S, Ding X. An error equivalent model of revolute joints with clearances for antenna pointing mechanisms. Chinese Journal of Mechanical Engineering, 2018, 31(1): 39

[40] Chebbi A H, Affi Z, Romdhane L. Prediction of the pose errors produced by joints clearance for a 3-UPU parallel robot. Mechanism and Machine Theory, 2009, 44(9): 1768–1783

[41] Parenti-Castelli V, Venanzi S. Clearance influence analysis on mechanisms. Mechanism and Machine Theory, 2005, 40(12): 1316–1329

[42] Meng J, Zhang D, Li Z. Accuracy analysis of parallel manipulators with joint clearance. Journal of Mechanical Design, 2009, 131(1): 011013

[43] Yu D, Zhao Q, Guo J, Chen F, Hong J. Accuracy analysis of spatial overconstrained extendible support structures considering geometric errors, joint clearances and link flexibilit. Aerospace Science and Technology, 2021, 119: 107098

[44] Chen Z, Shi C, Guo H, Liu R, Deng Z. Design and optimization of new space modular planar antenna. Aerospace Science and Technology, 2022, 123: 107442

Acknowledgements

The authors are grateful for the financial support from the National Natural Science Foundation of China (Grant Nos. U22B2080 and 51635002).

Conflict of Interest

The authors declare that they have no conflict of interest.

RIGHTS & PERMISSIONS

2024 Higher Education Press