Design and Research of Multi-state Origami Cube Based on Metamorphic Principle
JIN Lu1, PEI Junjie1, TIAN Dake2, LIU Rongqiang3, ZHONG Linsen1
1. School of Civil Engineering, Shenyang Jianzhu University, Shenyang 110168; 2. School of Mechanical Engineering, Shenyang Jianzhu University, Shenyang 110168; 3. National Key Laboratory of Aerospace Machanism, Harbin Institute of Technology, Harbin 150001
JIN Lu, PEI Junjie, TIAN Dake, LIU Rongqiang, ZHONG Linsen. Design and Research of Multi-state Origami Cube Based on Metamorphic Principle[J]. Journal of Mechanical Engineering, 2026, 62(9): 75-87.
[1] MISSERONI D,PRATAPA P P,LIU K,et al. Origami engineering[J]. Nature Reviews Methods Primers,2024,4(1):1-19. [2] 李明,蒋延达,崔琦峰,等. 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,et al. Immature state-of-the-art review on origami-inspired spaceborne deployable structures[J]. Journal of Mechanical Engineering,2021,57(23):53-65. [3] ZHANG X Z,CHEN W J. Programmable thick-panel Miura-ori for ultra-large planar antennas with one-degree-of-freedom[J]. Aerospace Science and Technology,2024,151:1-14. [4] CAI J G,ZHANG Q,FENG J,et al. Modeling and kinematic path selection of retractable kirigami roof structures[J]. Computer-Aided Civil and Infrastructure Engineering,2019,34(4):352-363. [5] WEI J Y,SUN Y Y,WANG H M,et al. Designer cellular spheroids with DNA origami for drug screening[J]. Science Advances,2024,10(29):1-13. [6] VERZONI A,RAIS-ROHANI M. Transition analysis of flat-foldable origami-inspired deployable shelter concepts[J]. Engineering Structures,2022,273:1-14. [7] 田大可,杨希华,金路,等. 面向空间折展机构的刚性折纸研究现状与展望[J]. 南京航空航天大学学报,2023,55(3):379-400. TIAN Dake,YANG Xihua,JIN Lu,et al. Research status and prospect of rigid origami for space deployable and foldable mechanism[J]. Journal of Nanjing University of Aeronautics & Astronautics,2023,55(3):379-400. [8] 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. [9] 陈焱,顾元庆. 折纸运动学综述[J]. 力学进展,2023,53(1):154-197. CHEN Yan,GU Yuanqing. Review on origami kinematics[J]. Advances in Mechanics,2023,53(1):154-197. [10] 刘世毅,王立武. 折纸技术在空间结构中的应用和发展[J]. 航天返回与遥感,2020,41(6):114-128. LIU Shiyi,WANG Liwu. Development and application of origami in space structure[J]. Spacecraft Recovery & Remote Sensing,2020,41(6):114-128. [11] HU Y C,ZHOU Y X,LIANG H Y. Constructing rigid-foldable generalized Miura-ori tessellations for curved surfaces[J]. Journal of Mechanisms and Robotics-Transactions of the ASME,2021,13(1):1-17. [12] LANG R J,HOWELL L. Rigidly foldable quadrilateral meshes from angle arrays[J]. Journal of Mechanisms and Robotics-Transactions of the ASME,2018,10(2):1-11. [13] ZIRBEL S A,TREASE B P,THOMSON M,et al. HanaFlex:A large solar array for space applications[C]// Micro and Nanotechnology Sensors,Systems,and Applications VII,April 20-24,2015,Baltimore,MD:SPIE,2015:1-9. [14] FILIPOV E T,TACHI T,PAULINO G H. Origami tubes assembled into stiff,yet reconfigurable structures and metamaterials[J]. Proceedings of the National Academy of Sciences of the United States of America,2015,112(40):12321-12326. [15] YAMAGUCHI K,MIYAZAWA Y,YASUDA H,et al. Post-fabrication tuning of origami-inspired mechanical metamaterials based on Tachi-Miura Polyhedron[J]. Materials & Design,2023,233:1-8. [16] CHEN Y,PENG R,YOU Z. Origami of thick panels[J]. Science,2015,349(6246):396-400. [17] PENG R,MA J,CHEN Y. The effect of mountain-valley folds on the rigid foldability of double corrugated pattern[J]. Machine and Mechanism Theory,2018,128:461-474. [18] CHEN Y,LV W L,PENG R,et al. Mobile assemblies of four-spherical-4R-integrated linkages and the associated four-crease-integrated rigid origami patterns[J]. Mechanism and Machine Theory,2019,142:1-25. [19] GU Y Q,CHEN Y. Origami cubes with one-DOF rigid and flat foldability[J]. International Journal of Solids and Structures,2020,207:250-261. [20] GU Y Q,WEI G W,CHEN Y. Thick-panel origami cube[J]. Mechanism and Machine Theory,2021,164:1-16. [21] GU Y Q,CHEN Y. Deployable origami polyhedrons with one-DOF radial motion[J]. Mechanism and Machine Theory,2023,184:1-17. [22] WEI G W,DAI J S. Origami-inspired integrated planar-spherical overconstrained mechanisms[J]. Journal of Mechanical Design of the ASME,2014,136(5):1-13. [23] 畅博彦,张浩楠,梁栋,等. 具有三阶幻方拓扑构型的厚板折纸机构运动相容性分析[J]. 机械工程学报,2023,59(11):201-212. CHANG Boyan,ZHANG Haonan,LIANG Dong,et al. Foldability analysis of thick-panel origami mechanism with third-order magic square topology[J]. Journal of Mechanical Engineering,2023,59(11):201-212. [24] WANG C L,GUO H W,LIU R Q,et al. A programmable origami-inspired space deployable structure with curved surfaces[J]. Engineering Structures,2022,256:1-13. [25] TIAN D K,YANG X H,JIN L,et al. Design and analysis of a solid surface deployable antenna mechanism based on flasher rigid origami[J]. Thin-Walled Structures,2024,201:1-18. [26] 戴建生,丁希仑,邹慧君. 变胞原理和变胞机构类型[J]. 机械工程学报,2005,41(6):7-12. DAI Jiansheng,DING Xilun,ZOU Huijun,Fundamentals and categorization of metamorphic mechanisms[J]. Journal of Mechanical Engineering,2005,41(6): 7-12. [27] WANG R Q,KANG X,DAI J S. A novel reconfigurable spherical joint based on linear independence of screws and its resultant metamorphic mechanisms[J]. Mechanism and Machine Theory,2021,164:1-25. [28] 李树军,王洪光,李小彭,等. 面向作业任务的约束变胞机构设计方法[J]. 机械工程学报,2018,54(3):26-35. LI Shujun,WANG Hongguang,LI Xiaopeng,et al. Task-orientated design method of practical constraint metamorphic mechanisms[J]. Journal of Mechanical Engineering,2018,54(3):26-35. [29] 康熙,戴建生. 机构学中机构重构的理论难点与研究进展——变胞机构演变内涵、分岔机理、设计综合及其应用[J]. 中国机械工程,2020,31(1):57-71. KANG Xi,DAI Jiansheng. Theoretical difficulties and research progresses of mechanism reconfiguration in mechanisms[J]. Journal of Mechanical Engineering,2020,31(1):57-71. [30] ZHANG X,CHEN Y. Vertex-splitting on a diamond origami pattern[J]. Journal of Mechanisms and Robotics-Transactions of the ASME,2019,11(3):1-12. [31] EDMONDSON B J,LANG R J,MAGLEBY S P,et al. An offset panel technique for thick rigidly foldable origami[C]// International Design Engineering Technical Conferences and Computers and Information in Engineering Conference,August 17-20,2014,New York:ASME,2014:1-8. [32] LIU Shuai,WU Huajie,YANG Yang,et al. Parallel-motion thick origami structure for robotic design[C]// International Conference on Robotics and Automation (ICRA),June 15,2020,Pairs,France:IEEE,2020:934-939. [33] 黄真,赵永生,赵铁石. 高等空间机构学[M]. 北京:高等教育出版社,2006. HUANG Zhen,ZHAO Yongsheng,ZHAO Tieshi,et al. Advanced spatial mechanism[M]. Beijing:Higher Education Press,2006.