折纸衍生空间可展结构研究回顾与展望刍议

doi:10.3901/JME.2021.23.053

摘要/Abstract

摘要： 作为起源于中国，发展于日本的传统手工艺，折纸由于其可以实现二维与三维结构之间形态高效转换的特性，近年来受到了科研人员与工程人员广泛的关注，为空间可展结构的创新研究提供了新的思路。对学界与工程界针对一维、二维、三维折纸衍生可展结构的研究现状进行了阐述，指出后续研究应关注的刚性平面载荷高效折展、柔性结构管理、非欧几里得折纸理论、驱动设计与动力学、重力卸载与试验考核、与其他折展机构的综合等六个问题。

关键词: 折纸衍生, 可展结构, 回顾与展望

Abstract: As the ancient art originated from China and evolved in Japan, origami has recently gained popularity among scientists and engineers because of the technique is able to transform 2-dimensional sheet to 3-dimensional structure efficiently and vice versa, which has introduced a brand new idea to the innovation of spaceborne deployable structures. This study dedicates on the stat-of-the-art review of one-dimensional, two-dimensional and three-dimensional origami-inspired spaceborne deployable structures respectively, and recommends that the problems for deployment of rigid planar payloads, management of flexible structures, non-Euclidean origami, driven design and dynamics, gravity compensation and experiment, synthesis with other deployable mechanism may be concerned by scientists and engineers in the following investigations.

Key words: origami-inspired, deployable structure, state-of-the-art review

中图分类号:

V423

李明, 蒋延达, 崔琦峰, 周鑫, 王治易, 施飞舟. 折纸衍生空间可展结构研究回顾与展望刍议[J]. 机械工程学报, 2021, 57(23): 53-65.

LI Ming, JIANG Yanda, CUI Qifeng, ZHOU Xin, WANG Zhiyi, SHI Feizhou. Immature State-of-the-art Review on Origami-inspired Spaceborne Deployable Structures[J]. Journal of Mechanical Engineering, 2021, 57(23): 53-65.

参考文献

[1] 井田哲雄. 折纸和科学技术[C]//首届中日学术交流国际研讨会. 厦门:厦门大学,2006:4. IDA T. Origami science and technology[C]//1st China-Japan International Symposium. Xiamen:Xiamen University,2006:4.
[2] TURNER N,GOODWINE B,SEN M. A review of origami applications in mechanical engineering[J]. Proceedings of the Institution of Mechanical Engineers,Part C-Journal of Mechanical Engineering Science,2016,230(14):2345-2362.
[3] 冯慧娟,杨名远,姚国强,等. 折纸机器人[J]. 中国科学:技术科学,2018,48(12):1259-1274. FENG Huijuan,YANG Mingyuan,YAO Guoqiang,et al. Origami robots[J]. Scientia Sinica Technologica,2018,48(12):2345-2362.
[4] DUREISSEIX D. An overview of mechanisms and patterns with origami[J]. International Journal of Space Structures,2012,27(1):1-14.
[5] FEI L J,SUJAN D. Origami theory and its applications:A literature review[J]. World Academy of Science,Engineering and Technology,2013(73):1131-1135.
[6] MORRIS E,MCADAMS D A,MALAK R. The state of the art of origami-inspired products:A review[C]//ASME 2016 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. Charlotte,North Carolina,USA:ASME,2016:DETC2016-59629.
[7] CHEN Y,PENG R,YOU Z. Origami of thick panels[J]. Science,2015,349(6246):396-400.
[8] YOU Z. Motion structures extend their reach[J]. Materials Today,2007,10(12):52-57.
[9] GAO W,HUO K,SEEHRA J S,et al. HexaMorph:A reconfigurable and foldable hexapod robot inspired by origami[C]//2014 IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS 2014),Chicago,IL,USA:IEEE,2014:4598-4604.
[10] LEE D Y,KIM J S,KOH J S,et al. The deformable wheel robot using magic-ball origami structure[C]//ASME 2013 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference,Portland,Oregon,USA:ASME,2013:DETC2013-13016.
[11] 何福城,李象远. 结构化学折展模型[J]. 化学通报,1992(3):45-50. HE Fucheng,LI Xiangyuan. Deployable model on structural chemistry[J]. Chemistry,1992(3):45-50.
[12] 权俊杰,张建斌. 折纸艺术在机构创新设计中的应用[C]//第三届十省区市机械工程学会科技论坛暨黑龙江省机械工程学会2007年年会. 中国黑龙江省哈尔滨市:黑龙江省机械工程学会,2007:7. QUAN Junjie,ZHANG Jianbin. Application of origami on mechanism innovation[C]//3rd ten-province Mechanical Engineering Society Symposium and 2007 Annual Conference of Heilongjiang Mechanical Engineering Society. Harbin,Heilongjiang,China:Heilongjiang Mechanical Engineering Society,2007:7.
[13] 李笑,李明. 折纸及其折痕设计研究综述[J]. 力学学报,2018,50(3):467-476. LI Xiao,LI Ming. A review of origami and its crease design[J]. Chinese Journal of Theoretical and Applied Mechanics,2018,50(3):467-476.
[14] 马兴瑞,于登云,孙京,等. 空间飞行器展开与驱动机构研究进展[J]. 宇航学报,2006,27(6):1123-1131. MA Xingrui,YU Dengyun,SUN Jing,et al. The researching evolvement of spacecraft deployment and driving mechanism[J]. Journal of Astronautics,2006,27(6):1123-1131.
[15] 刘荣强,田大可,邓宗全. 空间可展开天线结构的研究现状与展望[J]. 机械设计,2010,27(9):1-10. LIU Rongqiang,TIAN Dake,DENG Zongquan. State-of-the-art review of spaceborne deployable antenna[J]. Mechanical Design,2010,27(9):1-10.
[16] DUAN B. Large spaceborne deployable antennas (LSDAs)-a comprehensive summary[J]. Chinese Journal of Electronics,2020,29(1):1-15.
[17] 刘荣强,史创,郭宏伟,等. 空间可展开天线机构研究与展望[J]. 机械工程学报,2020,56(5):1-12. LIU Rongqiang,SHI Chuang,GUO Hongwei,et al. Review of space deployable antenna mechanisms[J]. Journal of Mechanical Engineering,2020,56(5):1-12.
[18] 李团结,马小飞. 大型空间可展开天线技术研究[J]. 空间电子技术,2012(3):35-39,43. LI Tuanjie,MA Xiaofei. Technologies of large deployable space antennas[J]. Space Electronic Technology,2012(3):35-39,43.
[19] MACNAUGHTON J D. Unfurlable metal structures for spacecraft[J]. Canadian Aeronautics and Space Journal,1963,9(4):103-116.
[20] MIKULAS M,PAPPA R,WARREN J,et al. Telescoping solar array concept for achieving high packaging efficiency[C]//2nd AIAA Spacecraft Structures Conference. Kissimmee,Florida,USA:AIAA,2015:1-21.
[21] THOMAS W D R. RADARSAT-2 extendible support structure[J]. Canadian Journal of Remote Sensing,2004,30(3),282-286.
[22] HUANG J. The development of inflatable array antennas[J]. IEEE Antennas and Propagation Magazine,2001,43(4):44-50.
[23] BUJAKAS V I,KAMENSKY A A,Self-setting locks for petal type deployable space reflector[J]. Microactuators and Micromechanisms,Mechanisms and Machine Science,2017,45.
[24] RAHMAT-SAMII Y,HUANG J,LOPEZ B,et al. Advanced precipitation radar antenna:Array-fed offset membrane cylindrical reflector antenna[J]. IEEE Transactions on Antennas and Propagation,2005,53(8):2503-2515.
[25] NATORI M C,TAKANO T,OHNISHI A,et al,In-orbit deployment of a high precision mesh antenna system for space VLBI mission[C]//39th AIAA/ASME/ASCE/AHS/ASC Structures,Structural Dynamics and Materials Conference. Longbeach,CA,USA:AIAA/ASME/ASCE/AHS/ASC,1998:AIAA1998-1837.
[26] 广晨汉,刘迎,杨洋. 单顶点多折痕折纸形式启发的空间折展机构[J]. 宇航学报,2018,39(7):801-807. GUANG Chenhan,LIU Ying,YANG Yang. A space deployable mechanism inspired by single-vertex multi-crease origami pattern[J]. Journal of Astronautics,2018,39(7):801-807.
[27] MIURA K. Method of packaging and deployment of large membrane in space[J]. The Institute of Space and Astronautical Science Report,1985(618):1-9.
[28] NATORI M C,SAKAMOTO H,KATSUMATA N,et al. Conceptual model study using origami for membrane space structures-a perspective of origami-based engineering[J]. Bulletin of the JSME Mechanical Engineering Reviews,2015,2(1):14-00368.
[29] SAWADA H,MORI O,OKUIZUMI N,et al. Mission report on the solar power sail deployment demonstration of IKAROS[C]//52nd AIAA/ASME/ASCE/AHS/ASC Structures,Structural Dynamics and Materials Conference. Denver,Colorado,USA:AIAA/ASME/ASCE/AHS/ASC,2011:AIAA2011-1887.
[30] AGLIETTI G S,FORSHAW J,VIQUERAT A,et al. An overview of the mechanisms and deployables on the RemoveDebris ADR Mission[C]//15th European Conference on Spacecraft Structures,Materials and Environmental Testing. Noordwijk,the Netherlands:ESA/ESTEC,2018:1.
[31] NAKANISHI H,SAKAMOTO H,FURUYA H. Development of nano-satellite OrigamiSat-1 with highly functional deployable membrane[C]//4th International Symposium for Solar Sailing. Kyoto,Japan,2017:1.
[32] MORGAN M R,LANG R J,MAGLEBY S P,et al. Towards developing product applications of thick origami using the offset panel technique[J]. Mechanical Sciences,2016,7(1):69-77.
[33] YELLOWHORSE A,LANG R J,TOLMAN K,et al. Creating linkage permutations to prevent self-intersection and enable deployable networks of thick-origami[J]. Scientific Reports,2018,8:12936.
[34] DAI J S,JONES J R. Mobility in metamorphic mechanisms of foldable/erectable kinds[J]. Journal of Mechanical Design,1999,121:375-382.
[35] ZHAI Z,WANG Y,JIANG H. Origami-inspired,on-demand deployable and collapsible mechanical metamaterials with tunable stiffness[J]. Proceedings of the National Academy of Sciences of the United States of America,2018,115(9):2032-2037.
[36] WILSON L,PELLEGRINO S,DANNER R. Origami sunshield concepts for space telescopes[C]//54th AIAA/ASME/ASCE/AHS/ASC Structures,Structural Dynamics,and Materials Conference. Bostonm Massachusetts,USA:AIAA/ASME/ASCE/AHS/ASC,2013:AIAA2013-1594.
[37] YAO S,LIU X,GIBSON J,et al. Deployable origami Yagi loop antenna[C]//2015 IEEE International Symposium on Antennas and Propagation & USNC/URSI National Radio Science Meeting. Vancouver,British Columbia,Canada:IEEE,2015:2215-2216.
[38] SHAH S I H,TENTZERIS M M,LIM S. A deployable quasi-Yagi monopole antenna using three origami magic spiral cubes[J]. IEEE Antennas and Wireless Propagation Letters,2018,18(1):147-151.
[39] KIM J,LEE D Y,KIM S R. A self-deployable origami structure with locking mechanism induced by buckling effect[C]//2015 IEEE International Conference on Robotics and Automation (ICRA),2015:3166-3171.
[40] 林秋红,张骞,贾文文,等. 大型空间薄膜遮阳罩折展构型设计与分析[J]. 机械工程学报,2020,56(5):13-20. LIN Qiuhong,ZHANG Qian,JIA Wenwen,et al. Deployable configuration design and analysis of large space membrane sunshield structures[J]. Journal of Mechanical Engineering,2020,56(5):13-20
[41] ZIRBEL S A,LANG R J,THOMSON M W,et al. Accommodating thickness in origami-based deployable arrays[J]. Journal of Mechanical Design,2013,135(11):111005.
[42] LANG R J,MAGLEBY S P,HOWELL L. Single degree-of-freedom rigidly foldable cut origami flashers[J]. Journal of Mechanisms and Robotics,2016,8:031005.
[43] YAO S,LIU X,GEORGAKOPOULOS S V. A mode reconfigurable Nojima origami antenna[C]//2015 IEEE International Symposium on Antennas and Propagation & USNC/URSI National Radio Science Meeting,2015:2237-2238.
[44] Osaka Prefecture University,Small Spacecraft System Research Center,HIROGARI Project[EB/OL].[2021-02-21]. https://www.sssrc.aero.osakafu-u.ac.jp/activity/opusat-ii-project/.
[45] DARPA. DARPA prototype reflectarray antenna offers high performance in small package[EB/OL].[2019- 01-22]. https://www.darpa.mil/news-events/2019-01-22b.
[46] ZIRBEL S A,TREASE B P,THOMSON M W,et al. HanaFlex:A large solar array for space applications[C]//SPIE Micro- and Nanotechnology Sensors,Systems,and Applications VII,Baltimore,Maryland,USA:SPIE,2015:94671C.
[47] SIGEL D,TREASE B P,THOMSON M W. Application of origami in the starshade spacecraft blanket design[C]//International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. Buffalo,NY,USA:ASME,2014.
[48] SALAZAR R,MURTHY S,PELLAZAR C. TransFormers for lunar extreme environments:Large origami deployable solar reflectors[C]//2017 IEEE Aerospace Conference. Yellowstone,Wyoming,USA:IEEE,2017:1-7.
[49] CHEN T,BILAL O R,LANG R. Autonomous deployment of a solar panel using elastic origami and distributed shape-memory-polymer actuators[J]. Physical Review Applied,2019,11:064069.
[50] AGUIRRE S,FREEMAN J,REILLY C. Horus:An origami-unfolding solar array[R]. Princeton:Princeton University,2018.
[51] HOLLAND A,LYSFORD W,PEARSON J. Origami style solar panels with development of dual purpose integrated phased array communications system[R]. University of North Dakotas,2016.
[52] KLEIN L,PLANTE T,HOLLAND A. consideration of the use of an origami style solar panel array for a space solar power generation satellite[R]. Grand Forks:University of North Dakotas,2015.
[53] JEON S K,FOOTDALE J N. Scaling and optimization of a modular origami solar array[C]//2018 AIAA Spacecraft Structure Conference. Kissimmee,Florida,USA:AIAA,2018.
[54] JASIM B,TAHERI P. An origami-based portable solar panel system[C]//2018 IEEE 9th Annual Information Technology,Electronics and Mobile Communication Conference (IEMCON). Vancouver,Canada:IEEE,2018.
[55] JEON S,MURPHEY T W. Fundamental design of tensioned precision deployable space structures applied to an X-band phased array[C]//53rd AIAA/ASME/ASCE/AHS/ASC Structures,Structural Dynamics and Materials Conference. Honolulu,Hawaii,USA:AIAA/ASME/ASCE/AHS/ASC,2012,AIAA2012-1447.
[56] YANG J,YOU Z. Compactly folding rigid panels with uniform thickness through origami and kirigami[C]//International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. Anaheim,CA,USA:ASME,2019.
[57] MORGAN J,MAGLEBY S P,HOWELL L L. An approach to designing origami-adapted aerospace mechanisms[J]. Journal of Mechanical Design,2016,138:052301.
[58] 于靖军,裴旭,毕树生,等. 柔性铰链机构设计方法的研究进展[J]. 机械工程学报,2010,46(13):2-13. YU Jingjun,PEI Xu,BI Shusheng,et al. State-of-arts of design method for flexure mechanisms[J]. Journal of Mechanical Engineering,2010,46(13):2-13.
[59] PEHRSON N A,AMES D C,SMITH S P,et al. Self-deployable,self-stiffening,and retractable origami-based arrays for spacecraft[J]. AIAA Journal,2020(1):1-8.
[60] JAPE S,GARZA M,RUFF J. Self-foldable origami reflector antenna enabled by shape memory polymer actuation[J]. Smart Materials and Structures,2020,29(11):115011.
[61] SRINICAS V,HARNE R L. Acoustic wave focusing by doubly curved origami-inspired arrays[J]. Journal of Intelligent Material Systems and Structures,2020,31(8):1041-1052.
[62] O'DRISCOLL D,BRUCE P J,SANTER M J. Origami-based TPS folding concept for deployable Mars entry vehicles[C]//AIAA SciTech 2020 Forum.,Orlando,FL,USA:AIAA,2020:1897.
[63] GUANG C,YANG Y. An approach to designing deployable mechanisms based on rigid modified origami flashers[J]. Journal of Mechanical Design,2018,140(8):082301.
[64] KADDOUR A S,ZEKIOS C L,GEORGAKAPOULOS S V. A Reconfigurable origami reflectarray[C]//14th European Conference on Antennas and Propagation (EuCAP). Copenhagen,Denmark,2020.
[65] SEILER S R,BAZZAN G,FUCHI K,et al. Physical reconfiguration of an origami-inspired deployable microstrip patch antenna array[C]//2017 IEEE International Symposium on Antennas and Propagation & USNC/URSI National Radio Science Meeting. Phuket,Thailand:IEEE,2017:2359-2360.
[66] 张骞,李萌,江超,等. 抛物面式固体反射面天线结构的展开设计[J]. 机械工程学报,2020,56(5):21-28. ZHANG Qian,LI Meng,JIANG Chao,et al. Deployment design of the parabolic solid reflector antenna structure[J]. Journal of Mechanical Engineering,2020,56(5):21-28.
[67] WANG C,LI J L,ZHANG D W. Optimization design method for kirigami-inspired space deployable structures with cylindrical surfaces[J]. Applied Mathematical Modelling,2021,89:1575-1598.
[68] CHEN Y,YANG F,YOU Z. Transformation of polyhedrons[J]. International Journal of Solids and Structures,2018,138:193-204.
[69] YANG F,YOU Z,CHEN Y. Mobile assembly of two Bennett linkages and its application to transformation between cuboctahedron and octahedron[J]. Mechanism and Machine Theory,2020,145:103698.
[70] LI M,MENG G,MIAO J,et al. Deployable spaceborne rigid and thick planar payloads,a prospective scenario for rigid origami[C]//International Symposium on Structures and Materials Inspired by Origami 2019. Shanghai,China,2019:1.
[71] 刘志全,杨淑利,濮海玲. 空间太阳电池阵的发展现状及趋势[J]. 航天器工程,2012,21(6):112-118. LIU Zhiquan,YANG Shuli,PU Hailing. Development and trend of space solar array technology[J]. Spacecraft Engineering,2012,21(6):112-118.
[72] 王从思,韩如冰,王伟,等. 星载可展开有源相控阵天线结构的研究进展[J]. 机械工程学报,2016,52(5):107-123. WANG Congsi,HAN Rubing,WANG Wei,et al. Development of spaceborne deployable active phased array antennas[J]. Journal of Mechanical Engineering,2016,52(5):107-123.
[73] JONES P A,SPENCE B R. Spacecraft solar array technology trends[J]. Aerospace and Electronic Systems Magazine,2011,26(8):17-28.
[74] LI M,CUI Q,WU M,et al. Flatness-oriented parameters allocation of multi-panel deployable antenna based on Monte-Carlo simulation[C]//9th International Conference on Recent Advances in Space Technologies. Istanbul,Turkey:IEEE,2019:497-502.
[75] Loadpath. Deployable structures[EB/OL].[2021-02-21]. https://www.loadpath.com/deployable-structures/
[76] 彭福军,恽卫东,耿海峰. 空间增阻薄膜结构研究进展及关键技术[J]. 机械工程学报,2020,56(13):156-164. PENG Fujun,YUN Weidong,GENG Haifeng. Advancement and key technologies of deployable membrane structure for space debris removal[J]. Journal of Mechanical Engineering,2020,56(13):156-164.
[77] 彭福军,谢超,张良俊. 面向空间应用的薄膜可展开结构研究进展及技术挑战[J]. 载人航天,2017(4):427-439. PENG Fujun,XIE Chao,ZHANG Liangjun. Advancement and technical challenges of deployable membrane structure in space application[J]. Manned Spaceflight,2017(4):427-439.
[78] WAITUKAITIS S,DIELEMAN P,VAN HECKE M. Non-Euclidean origami[J]. Physical Review E,2020,102(3):031001.
[79] BERRY M,LEE-TRIMBLE M E,SANTANGELO C D. Topological transitions in the configuration space of non-Euclidean origami[J]. Physical Review E,2020,101(4):043003.
[80] ZIRBEL S A,TREASE B P,MAGLEBY S P,et al. Deployment methods for an origami-inspired rigid-foldable array[C]//40th Aerospace Mechanisms Symposium. Cocoa Beach,Florida,USA:NASA,2014:189-194.
[81] MCPHERSON B A,KAUMAN J L. Dynamics and estimation of origami-inspired deployable space structures:a review[C]//AIAA SciTech Forum.,San Diego,California,USA:AIAA,2019.
[82] HORNER G C,ELLIOT M D. A fabrication and deployment approach for a Miura-ori sail model[C]//AIAA/ASME/ASCE/AHS/ASC Structures,Structural Dynamics,and Materials Conference. Denver,Colorado,USA:AIAA/ASME/ASCE/AHS/ASC,2002:AIAA2002-1708.
[83] RIVAS-ADROVER E. A new hybrid deployable structure:Origami-scissor hinged[J]. Journal of the International Association for Shell and Spatial Structures,2018,59(3):197.