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DOF and Kinematic Analysis of a Deployable Truss Antenna Assembled by Tetrahedral Elements

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Mechanism and Machine Science (ASIAN MMS 2016, CCMMS 2016)

Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 408))

Abstract

Deployable structure has played a more and more important role in the large-caliber antennas. This paper deals with the degree of freedom (DOF) and kinematics of a kind of deployable truss antenna composed of tetrahedral elements. Firstly, based on the reciprocal screw theory the DOF of one tetrahedral element is analyzed. Then, the equivalent mechanism of the minimum composite unit of the deployable truss antenna is obtained according to the characteristic of the DOF of the tetrahedral element. Sequentially, the DOF of the deployable truss antenna is derived. Further, the analytical expressions of the positions and velocities of the connection nodes of the antenna during its deploying/folding process are formulated by resorting to the coordinate transformation matrices. Finally, the correctness of the kinematic analysis of the deployable truss antenna is verified by simulation based on the Adams software.

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References

  1. Cherniavsky AG, Gulyayev VI, Gaidaichuk VV, Fedoseev AI (2005) Large deployable space antennas based on usage of polygonal pantograph. J Aerosp Eng 18:139–145

    Article  Google Scholar 

  2. Fazli N, Abedian A (2011) Design of tensegrity structures for supporting deployable mesh antennas. Sci Iran 18:1078–1087

    Article  Google Scholar 

  3. Wang Y, Deng ZQ, Liu RQ, Yang H, Guo HW (2014) Topology structure synthesis and analysis of spatial pyramid deployable truss structures for satellite SAR antenna. Chin J Mech Eng Engl Ed 27:683–692

    Article  Google Scholar 

  4. Xu Y, Guan FL (2013) Structure–electronic synthesis design of deployable truss antenna. Aerosp Sci Technol 26:259–267

    Article  Google Scholar 

  5. Gosselin CM, Gagnon-Lachance D (2006) Expandable polyhedral mechanisms based on polygonal one-degree-of-freedom faces. Proc Inst Mech Eng Part C J Mech Eng Sci 220:1011–1018

    Article  Google Scholar 

  6. Kiper G, Söylemez E, Kişisel A (2008) A family of deployable polygons and polyhedral. Mech Mach Theory 43:627–640

    Google Scholar 

  7. Wei GW, Ding XL, Dai JS (2011) Geometric constraint of an evolved deployable ball mechanism. J Adv Mech Des Syst Manuf 5:302–314

    Google Scholar 

  8. Ding XL, Yang Y, Dai JS (2013) Design and kinematic analysis of a novel prism deployable mechanism. Mech Mach Theory 63:35–49

    Article  Google Scholar 

  9. Zheng F, Chen M (2015) New conceptual structure design for affordable space large deployable antenna. IEEE Trans Antennas Propag 63:1351–1358

    Article  MathSciNet  Google Scholar 

  10. You Z (2000) Deployable structure of curved profile for space antennas. J Aerosp Eng 13:139–143

    Article  Google Scholar 

  11. Dai L, Guan FL, Guest James K (2014) Structural optimization and model fabrication of a double-ring deployable antenna truss. Acta Astronaut 94:843–851

    Article  Google Scholar 

  12. Tanaka H (2006) Design optimization studies for large-scale contoured beam deployable satellite antennas. Acta Astronaut 58:443–451

    Article  Google Scholar 

  13. Yu Y, Luo YZ (2009) Motion analysis of deployable structures based on the rod hinge element by the finite particle method. Proc Inst Mech Eng Part C J Aerosp Eng 223:955–964

    Article  Google Scholar 

  14. Zhao ML, Guan FL (2005) Kinematic analysis of deployable toroidal spatial truss structures for large mesh antenna. J Int Assoc Shell Spatial Struct 46:195–204

    Google Scholar 

  15. Xu Y, Guan FL, Zheng Y, Zhao ML (2012) Kinematic analysis of the deployable truss structures for space applications. J Aerosp Technolog Manage 4:453–462

    Article  Google Scholar 

  16. Xu Y, Guan FL, Chen JJ, Zheng Y (2012) Structural design and static analysis of a double-ring deployable truss for mesh antennas. Acta Astronaut 81:545–554

    Article  Google Scholar 

  17. Li TJ, Wang Y (2009) Deployment dynamic analysis of deployable antennas considering thermal effect. Aerosp Sci Technol 13:210–215

    Article  Google Scholar 

  18. Li TJ (2012) Deployment analysis and control of deployable space antenna. Aerosp Sci Technol 18:42–47

    Article  Google Scholar 

Download references

Acknowledgments

This research was sponsored by the National Natural Science Foundation of China under Grant 51675458 and Grant 51275439.

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Authors and Affiliations

  1. Parallel Robot and Mechatronic System Laboratory of Hebei Province, Qinhuangdao, 066004, Hebei, China

    Wenlan Liu, Yundou Xu, Yongsheng Zhao, Jiantao Yao, Bo Han & Liangliang Chen

  2. Key Laboratory of Advanced Forging and Stamping Technology and Science of Ministry of National Education Yanshan University, Qinhuangdao, 066004, Hebei, China

    Yundou Xu, Yongsheng Zhao & Jiantao Yao

Authors
  1. Wenlan Liu
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  2. Yundou Xu
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  3. Yongsheng Zhao
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  4. Jiantao Yao
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  5. Bo Han
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  6. Liangliang Chen
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Corresponding author

Correspondence to Yundou Xu .

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Editors and Affiliations

  1. South China University of Technology , Guangzhou, China

    Xianmin Zhang

  2. South China University of Technology , Guangzhou, China

    Nianfeng Wang

  3. South China University of Technology , Guangzhou, China

    Yanjiang Huang

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© 2017 Springer Nature Singapore Pte Ltd.

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Liu, W., Xu, Y., Zhao, Y., Yao, J., Han, B., Chen, L. (2017). DOF and Kinematic Analysis of a Deployable Truss Antenna Assembled by Tetrahedral Elements. In: Zhang, X., Wang, N., Huang, Y. (eds) Mechanism and Machine Science . ASIAN MMS CCMMS 2016 2016. Lecture Notes in Electrical Engineering, vol 408. Springer, Singapore. https://doi.org/10.1007/978-981-10-2875-5_70

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  • DOI: https://doi.org/10.1007/978-981-10-2875-5_70

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-10-2874-8

  • Online ISBN: 978-981-10-2875-5

  • eBook Packages: EngineeringEngineering (R0)

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