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Dynamic analysis of a cylindrical boom based on Miura origami

  • Cai, Jianguo (Key Laboratory of C & PC Structures of Ministry of Education, National Prestress Engineering Research Center, Southeast University) ;
  • Zhou, Ya (Key Laboratory of C & PC Structures of Ministry of Education, National Prestress Engineering Research Center, Southeast University) ;
  • Wang, Xinyu (Key Laboratory of C & PC Structures of Ministry of Education, National Prestress Engineering Research Center, Southeast University) ;
  • Xu, Yixiang (Department of Mechanical Engineering, The University of Sheffield) ;
  • Feng, Jian (Key Laboratory of C & PC Structures of Ministry of Education, National Prestress Engineering Research Center, Southeast University)
  • Received : 2018.01.24
  • Accepted : 2018.07.02
  • Published : 2018.09.10
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Abstract

The dynamic behavior of the deployment and folding process of a foldable boom based on the Miura origami pattern is investigated in this paper. Firstly, mechanical behavior of a single storey during the motion is studied numerically. Then the deployment and folding of a multi-storey boom is discussed. Moreover, the influence of the geometry parameters and the number of Miura-ori elements n on the dynamic behavior of the boom is also studied. Finally, the influence of the imperfection on the dynamic behavior is investigated. The results show that the angles between the diagonal folds and horizontal folds will have great effect on the strains during the motion. A bistable configuration can be obtained by choosing proper fold angles for a given multi-storey boom. The influence of the imperfection on the folding behavior of the foldable mast is significant.

Keywords

Acknowledgement

Supported by : National Natural Science Foundation of China, Natural Science Foundation of Jiangsu Province

References

  1. Cadogan, D.P., Lin, J.K. and Grahne, M.S. (1999), "Inflatable Solar Array Technology", Proceedings of the 37th AIAA Aerospace Sciences Meeting and Exhibit, AIAA Paper 1999-1075.
  2. Cai, J.G., Deng, X.W., Zhou, Y., Feng, J. and Tu, Y.M. (2015a), "Bistable behavior of the cylindrical origami structure with Kresling pattern", J. Mech. Des. ASME, 137(6), 061404. https://doi.org/10.1115/1.4030296
  3. Cai, J.G., Deng, X.W., Feng, J. and Zhou, Y. (2015b), "Geometric design and mechanical behavior of a deployable cylinder with Miura origami", Smart Mater. Struct., 24(12), 125031. https://doi.org/10.1088/0964-1726/24/12/125031
  4. Cai, J.G., Jiang, C., Deng, X.W., Feng, J. and Xu, Y.X. (2015c), "Static analysis of a radially retractable hybrid grid shell in the closed position", Steel Compos. Struct., Int. J., 18(6), 1391-1404. https://doi.org/10.12989/scs.2015.18.6.1391
  5. Cai, J.G., Zhang, Y.T., Xu, Y.X., Zhou, Y. and Feng, J. (2016), "The foldability of cylindrical foldable structures based on rigid origami", J. Mech. Des. ASME, 138(3), 031401. https://doi.org/10.1115/1.4032194
  6. Cai, J.G., Zhang, Q., Jiang, Y.B., Xu, Y.X., Feng, J. and Deng, X.W. (2017), "Nonlinear stability analysis of a radially retractable hybrid grid shell in the closed position", Steel Compos. Struct., Int. J., 24(3), 287-296.
  7. Chen, Y., Peng, R. and You, Z. (2015), "Origami of thick panels", Science, 349(6246), 396-400. https://doi.org/10.1126/science.aab2870
  8. Filipov, E.T., Tachi, T. and Paulino, G.H. (2015), "Origami tubes assembled into stiff, yet reconfigurable structures and metamaterials", Proceedings of the National Academy of Sciences of the United States of America, 112(40), 12321-12326. https://doi.org/10.1073/pnas.1509465112
  9. Filipov, E.T., Liu, K., Tachi, T., Schenk, M. and Paulino, G.H. (2017), "Bar and Hinge models for Scalable Analysis of Origami", Int. J. Solids Struct., 124, 26-45. https://doi.org/10.1016/j.ijsolstr.2017.05.028
  10. Ghazijiahani, T.G., Jiao, H. and Holloway, D. (2015), "Experiments on locally dented conical shells under axial compression", Steel Compos. Struct., Int. J., 19(6), 1355-1367 https://doi.org/10.12989/scs.2015.19.6.1355
  11. Guest, S.D. and Pellegrino, S. (1994a), "The folding of triangulated cylinders, part I: geometric considerations", J. Appl. Mech., 61(4), 773-777. https://doi.org/10.1115/1.2901553
  12. Guest, S.D. and Pellegrino, S. (1994b), "The folding of triangulated cylinders, part II: the folding process", J. Appl. Mech., 61(4), 778-783. https://doi.org/10.1115/1.2901554
  13. Guest, S.D. and Pellegrino, S. (1996), "The folding of triangulated cylinders, part III: experiments", J. Appl. Mech., 63(1), 77-83. https://doi.org/10.1115/1.2787212
  14. Kamrava, S., Mousanezhad, D., Ebrahimi, H., Ghosh, R. and Vaziri, A. (2017), "Origami-based cellular metamaterial with auxetic, bistable, and self-locking properties", Scientific Reports, 7, Article No. 46046.
  15. Kharoob, O.F. and Taman, M.H. (2017), "Behavior of fibre reinforced cementitious material-filled steel tubular columns", Steel Compos. Struct., Int. J., 23(4), 465-472 https://doi.org/10.12989/scs.2017.23.4.465
  16. Kim, J., Lee, D.Y., Kim, S.R. and Cho, K.J. (2015), "A selfdeployable origami structure with locking mechanism induced by buckling effect", Proceedings of 2015 IEEE International Conference on Robotics and Automation (ICRA), Seattle, WA, USA, May.
  17. Li, P.C. and Wu, M.E. (2017), "Stabilities of cable-stiffened cylindrical single-layer latticed shells", Steel Compos. Struct., Int. J., 24(5), 591-602
  18. Lichodziejewski, D., Derbes, B., West, J., Belvin, K. and Pappa, R. (2003), "Bringing an Effective Solar Sail Design Toward TRL 6", Proceedings of the 39th AIAA/ASME/SAE/ASEE Joint Propulsion Conference and Exhibit, AIAA Paper 2003-4659.
  19. Liu, S.C., Lv, W.L., Chen, Y. and Lu, G.X. (2016), "Deployable prismatic structures with rigid origami patterns", J. Mech. Robot. ASME, 8, 031002. https://doi.org/10.1115/1.4031953
  20. Miura, K. (1980), "Method of packaging and deployment of large membrane in space", Proceedings of the 31st Congress of International Astronautical Federation, Tokyo, Japan, pp. 1-10.
  21. Piekarski, M. (2000), "Constructional Solutions for Two-way-folddeployable Space Trusses", Proceedings of IUTAM-IASS Symposium on Deployable Structures: Theory and Applications, pp. 301-310.
  22. Schenk, M., Kerr, S., Smyth, A.M. and Guest, S.D. (2013), "Inflatable cylinders for deployable space structures", Proceedings of the First Conference Transformables 2013, Seville, Spain, September.
  23. Schenk, M., Viquerat, A.D., Seffen, K.A. and Guest, S.D. (2014), "Review of Inflatable Booms for Deployable Space Structures: Packing and Rigidisation", J. Spacecraft Rockets, 51(3), 762-778. https://doi.org/10.2514/1.A32598
  24. Senda, K., Oda, T., Ohta, S., Igaras, Y., Watanabe, A., Hori, T., Ito, H., Tsunoda, H. and Watanabe, K. (2006), "Deploy Experiment of Inflatable Tube Using Work Hardening", Proceedings of the 47th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference, AIAA Paper 2006-1808.
  25. Shao, Y.B. (2016), "Static strength of collar-plate reinforced tubular T-joints under axial loading", Steel Compos. Struct., Int. J., 21(2), 323-342 https://doi.org/10.12989/scs.2016.21.2.323
  26. Sogame, A. and Furuya, H. (2000), "Conceptual Study on Cylindrical Deployable Space Structures", Proceedings of the IUTAM-IASS Symposium on Deployable Structures: Theory and Applications, (Edited by S. Pellegrino and S.D. Guest), Kluwer Academic, Dordrecht, The Netherlands, September, pp. 383-392.
  27. Tachi, T. (2010), "Geometric considerations for the design of rigid origami structures", Proceedings of the International Association for Shell and Spatial Structures (IASS) Symposium 2010, Shanghai, China.
  28. Thrall, A.P. and Quaglia, C.P. (2014), "Accordion shelters: a historical review of origami-like deployable shelters developed by the US military", Eng. Struct., 59, 686-692. https://doi.org/10.1016/j.engstruct.2013.11.009
  29. Wang, Y.M., Shao, Y.D. and Cao, Y.F. (2017), "Static behavior of steel tubular structures considering local joint flexibility", Steel Compos. Struct., Int. J., 24(4), 425-439
  30. Wu, W.N. and You, Z. (2010), "Modelling rigid origami with quaternions and dual quaternions", Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 466, 2155-2174. https://doi.org/10.1098/rspa.2009.0625
  31. You, Z. and Cole, N. (2006), "Self-Locking Bi-Stable Deployable Booms", Proceedings of the 47th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference, AIAA Paper 2006-1685.