Citation: | Yuan Tingting, Ren Kunming, Fang Yuqiao, Liu Jinyang. Dynamic modeling and analysis for non-rigid origami structure considering nonlinear constitutive relation. Chinese Journal of Theoretical and Applied Mechanics, 2022, 54(9): 2552-2566. DOI: 10.6052/0459-1879-22-176 |
[1] |
You Z. Folding structures out of flat materials. Science, 2014, 345(6197): 623-624 doi: 10.1126/science.1257841
|
[2] |
李笑, 李明. 折纸及其折痕设计研究综述. 力学学报, 2018, 50(3): 467-476 doi: 10.6052/0459-1879-18-031
Li Xiao, Li Ming. A review of origami and its crease design. Chinese Journal of Theoretical and Applied Mechanics, 2018, 50(3): 467-476 (in Chinese) doi: 10.6052/0459-1879-18-031
|
[3] |
Meloni M, Cai J, Zhang Q, et al. Engineering origami: A comprehensive review of recent applications, design methods, and tools. Advanced Science, 2021, 8: 2000636 doi: 10.1002/advs.202000636
|
[4] |
Morgan J, Magleby SP, Howell LL. An approach to designing origami-adapted aerospace mechanisms. Journal of Mechanical Design, 2016, 138(5): 052301 doi: 10.1115/1.4032973
|
[5] |
Bruton JT, Nelson TG, Zimmerman TK, et al. Packing and deploying soft origami to and from cylindrical volumes with application to automotive airbags. Royal Society Open Science, 2016, 3(9): 160429 doi: 10.1098/rsos.160429
|
[6] |
Yuan T, Liu Z, Zhou Y, et al. Dynamic modeling for foldable origami space membrane structure with contact-impact during deployment. Multibody System Dynamics, 2020, 50(1): 1-24 doi: 10.1007/s11044-020-09737-x
|
[7] |
Miyashita S, Guitron S, Yoshida K, et al. Ingestible, controllable, and degradable origami robot for patching stomach wounds//IEEE International Conference on Robotics and Automation, 2016: 909-916
|
[8] |
Shang Z, Ma J, You Z, et al. A braided skeleton surgical manipulator with tunable diameter//8th IEEE RAS/EMBS International Conference for Biomedical Robotics and Biomechatronics, 2020: 223-228
|
[9] |
Bobbert FSL, Janbaz S, Van Manen T, et al. Russian doll deployable meta-implants: fusion of kirigami, origami, and multi-stability. Materials & Design, 2020, 191: 108624
|
[10] |
Masera G, Pesenti M, Fiorito F. Exploration of adaptive origami shading concepts through integrated dynamic simulations. Journal of Architectural Engineering, 2018, 24: 04018022 doi: 10.1061/(ASCE)AE.1943-5568.0000323
|
[11] |
Ando K, Izumi B, Shigematsu M, et al. Lightweight rigidly foldable canopy using composite materials. SN Applied Sciences, 2020, 2(12): 1994 doi: 10.1007/s42452-020-03846-0
|
[12] |
Attia S. Evaluation of adaptive facades: the case study of Al Bahr Towers in the UAE//Q Science Connect (Shaping Qatar’s Sustainable Built Environment-2), 2017: 6
|
[13] |
Paez L, Agarwal G, Paik J. Design and analysis of a soft pneumatic actuator with origami shell reinforcement. Soft Robotics, 2016, 3(3): 109-119 doi: 10.1089/soro.2016.0023
|
[14] |
Zhang Z, Fan W, Chen G, et al. A 3D printable origami vacuum pneumatic artificial muscle with fast and powerful motion//2021 IEEE 4th International Conference on Soft Robotics, 2021: 551-554
|
[15] |
Zhang Z, Tang S, Fan W, et al. Design and analysis of hybrid-driven origami continuum robots with extensible and stiffness-tunable sections. Mechanism and Machine Theory, 2022, 169: 104607 doi: 10.1016/j.mechmachtheory.2021.104607
|
[16] |
Zhang Q, Fang H, Xu J. Yoshimura-origami based earthworm-like robot with 3-dimensional locomotion capability. Frontiers in Robotics and AI, 2021, 8: 738214 doi: 10.3389/frobt.2021.738214
|
[17] |
Liu W, Jiang H, Chen Y. 3D programmable metamaterials based on reconfigurable mechanism modules. Advanced Functional Materials, 2022, 32: 2109865 doi: 10.1002/adfm.202109865
|
[18] |
Zhai Z, Wang Y, Jiang H. Origami-inspired, on-demand deployable and collapsible mechanical metamaterials with tunable stiffness. Proceedings of the National Academy of Sciences, 2018, 115(9): 2032-2037 doi: 10.1073/pnas.1720171115
|
[19] |
Ma J, Dai H, Chai S, et al. Energy absorption of sandwich structures with a kirigami-inspired pyramid foldcore under quasi-static compression and shear. Materials & Design, 2021, 206: 109808
|
[20] |
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. 机械工程学报, 2021, 57(23): 53-65 doi: 10.3901/JME.2021.23.053
Li Ming, Jiang Yanda, Cui Qifeng, et al. Immature state-of-the-art review on origami-inspired spaceborne deployable structures. Journal of Mechanical Engineering, 2021, 57(23): 53-65(in Chinese) doi: 10.3901/JME.2021.23.053
|
[21] |
Chen Y, Peng R, You Z. Origami of thick panels. Science, 2015, 349(6246): 396-400 doi: 10.1126/science.aab2870
|
[22] |
Tachi T. Geometric considerations for the design of rigid origami structures//Proceedings of the International Association for Shell and Spatial Structures (IASS) Symposium, 2010: 12
|
[23] |
Ma J, Feng H, Chen Y, et al. Folding of tubular waterbomb. Research, 2020, 8: 1735081
|
[24] |
方虹斌, 吴海平, 刘作林等. 折纸结构和折纸超材料动力学研究进展. 力学学报, 2022, 54(1): 1-38 doi: 10.6052/0459-1879-21-478
Fang Hongbin, Wu Haiping, Liu Zuolin, et al. Advances in the dynamics of origami structures and origami metamaterials. Chinese Journal of Theoretical and Applied Mechanics, 2022, 54(1): 1-38 (in Chinese) doi: 10.6052/0459-1879-21-478
|
[25] |
冯慧娟, 杨名远, 姚国强等. 折纸机器人. 中国科学: 技术科学, 2018, 48(12): 1259-1274 doi: 10.1360/N092018-00213
Feng Huijuan, Yang Mingyuan, Yao guoqiang, et al. Origami robots. Scientia Sinica Technologica, 2018, 48(12): 1259-1274 (in Chinese) doi: 10.1360/N092018-00213
|
[26] |
Tachi T. Simulation of rigid origami//Fourth International Meeting of Origami Science, Mathematics, and Education, 2009
|
[27] |
Na JH, Evans AA, Bae J, et al. Programming reversibly self-folding origami with micropatterned photo-crosslinkable polymer trilayers. Advanced Materials, 2015, 27(1): 79-85 doi: 10.1002/adma.201403510
|
[28] |
Gattas JM, You Z. The behaviour of curved-crease foldcores under low-velocity impact loads. International Journal of Solids and Structures, 2015, 53: 80-91 doi: 10.1016/j.ijsolstr.2014.10.019
|
[29] |
Cai J, Ren Z, Ding Y, et al. Deployment simulation of foldable origami membrane structures. Aerospace Science and Technology, 2017, 67: 343-353 doi: 10.1016/j.ast.2017.04.002
|
[30] |
Filipov ET, Paulino GH, Tachi T. Origami tubes with reconfigurable polygonal cross-sections. Proceedings of the Royal Society A:Mathematical, Physical and Engineering Sciences, 2016, 472(2185): 20150607 doi: 10.1098/rspa.2015.0607
|
[31] |
Yuan T, Tang L, Liu Z, et al. Nonlinear dynamic formulation for flexible origami-based deployable structures considering self-contact and friction. Nonlinear Dynamics, 2021, 106(3): 1789-1822 doi: 10.1007/s11071-021-06860-y
|
[32] |
徐彦, 关富玲. 可展开薄膜结构折叠方式和展开过程研究. 工程力学, 2008, 25(5): 176-181
Xu Yan, Guan Fuling. Fold methods and deployment analysis of deployable membrane structure, Engineering Mechanics, 2018, 25(5): 176-181(in Chinese)
|
[33] |
邱海, 方虹斌, 徐鉴. 多稳态串联折纸结构的非线性动力学特性. 力学学报, 2019, 51(4): 1110-1121 doi: 10.6052/0459-1879-19-115
Qiu Hai, Fang Hongbin, Xu Jian. Nonlinear dynamical characteristics of a multi-stable series origami structure. Chinese Journal of Theoretical and Applied Mechanics, 2019, 51(4): 1110-1121 (in Chinese) doi: 10.6052/0459-1879-19-115
|
[34] |
Fang H, Chu SCA, Xia Y, et al. Programmable self-locking origami mechanical metamaterials. Advanced Materials, 2018, 30(15): 1706311 doi: 10.1002/adma.201706311
|
[35] |
Zhang Q, Fang H, Xu J. Programmable stopbands and supratransmission effects in a stacked Miura-origami metastructure. Physical Review E, 2020, 101(4): 042206 doi: 10.1103/PhysRevE.101.042206
|
[36] |
Fang H, Chang TS, Wang KW. Magneto-origami structures: engineering multi-stability and dynamics via magnetic-elastic coupling. Smart Materials and Structures, 2019, 29(1): 015026
|
[37] |
Yasuda H, Tachi T, Lee M, et al. Origami-based tunable truss structures for non-volatile mechanical memory operation. Nature Communications, 2017, 8(1): 962 doi: 10.1038/s41467-017-00670-w
|
[38] |
Schenk M, Guest S. Origami folding: a structural engineering approach//Fifth International Meeting of Origami Science, Mathematics, and Education, 2010: 16
|
[39] |
Wei ZY, Guo ZV, Dudte L, et al. Geometric mechanics of periodic pleated origami. Physical Review Letters, 2013, 110(21): 215501 doi: 10.1103/PhysRevLett.110.215501
|
[40] |
Fuchi K, Diaz AR. Origami design by topology optimization. Journal of Mechanical Design, 2013, 135(11): 111003 doi: 10.1115/1.4025384
|
[41] |
Fuchi K, Buskohl PR, Bazzan G, et al. Origami actuator design and networking through crease topology optimization. Journal of Mechanical Design, 2015, 137(9): 091401 doi: 10.1115/1.4030876
|
[42] |
Liu K, Paulino GH. Nonlinear mechanics of non-rigid origami: an efficient computational approach. Proceedings of the Royal Society A, 2017, 473(2206): 20170348 doi: 10.1098/rspa.2017.0348
|
[43] |
Filipov ET, Liu K, Tachi T, et al. Bar and hinge models for scalable analysis of origami. International Journal of Solids and Structures, 2017, 124: 26-45 doi: 10.1016/j.ijsolstr.2017.05.028
|
[44] |
Dong S, Zhao X, Yu Y. Dynamic unfolding process of origami tessellations. International Journal of Solids and Structures, 2021, 111075: 226-227
|
[45] |
Wriggers P. Nonlinear Finite Element Methods (vol. 4). Berlin, Germany: Springer, 2008
|
[46] |
Ogden RW. Non-linear Elastic Deformations, New York: Dover Publications, 1997
|
[47] |
Arnold M, Brüls O. Convergence of the generalized-α scheme for constrained mechanical systems. Multibody System Dynamics, 2007, 18(2): 185-202 doi: 10.1007/s11044-007-9084-0
|
[48] |
Noels L, Stainier L, Ponthot JP. Self-adapting time integration management in crash-worthiness and sheet metal forming computations. International Journal of Vehicle Design, 2002, 30(1-2): 67-114
|
[49] |
史加贝. 基于共旋坐标法的大变形薄板多体系统非连续动力学建模与仿真研究. [博士论文]. 上海: 上海交通大学, 2018
Shi Jiabei. Research on discontinuous dynamics modeling and simulation for multibody system of large deformational thin shell based on corotational formulation. [PhD Thesis]. Shanghai: Shanghai Jiao Tong University, 2018 (in Chinese)
|
[50] |
De Focatiis DSA, Guest SD. Deployable membranes designed from folding tree leaves. Philosophical Transactions of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences, 2002, 360(1791): 227-238 doi: 10.1098/rsta.2001.0928
|
[51] |
Leon SE, Lages EN, De Araújo CN, et al. On the effect of constraint parameters on the generalized displacement control method. Mechanics Research Communications, 2014, 56: 12
|
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