Kinematic analysis and simulation of folding process for rigid origami mechanisms

被引：0
|
作者：
Guo Z. [1 ]
Yu H.-Y. [1 ]
Hua Z.-X. [1 ]
Zhao D. [1 ]
机构：
[1] School of Mechatronics Engineering, Harbin Institute of Technology, Harbin
来源：
Jilin Daxue Xuebao (Gongxueban)/Journal of Jilin University (Engineering and Technology Edition) | 2020年 / 50卷 / 01期
关键词：
Interference judgment; Kinematic analysis; Mechanical design and theory; Rigid origami mechanism; Simulation of folding process;
D O I：
10.13229/j.cnki.jdxbgxb20180835
中图分类号：
学科分类号：
摘要：
In order to analyze the kinematic characteristics of rigid origami mechanism and study the folding process of different patterns, the kinematic model of rigid origami mechanisms is established and the folding state of typical pattern is analyzed. Firstly, the relation equation between the rotation angle of creases at a single vertex is established, the explicit expression of the unknown angle of creases is derived, and the interference solution is eliminated through the mutual test of equation solutions to obtain the actual rotation angle of the arbitrary folding state. Secondly, using the rotation transformation matrix, the real time coordinates of the vertex are calculated. Thirdly, the intersection test algorithm of triangular facets is applied to judge interference of rigid origami mechanism, and the interference in the folding process is detected. Finally, the folding process simulation platform is established, and the folding process of typical rigid origami mechanism is analyzed. The simulation results coincide with the actual folding process, which verifies the correctness of the kinematic analysis method of rigid origami mechanisms and the applicability of the simulation platform. © 2020, Jilin University Press. All right reserved.
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页码：66 / 76
页数：10
相关论文
共 21 条
  • [1] Chen Y., Rui P., Zhong Y., Origami of thick panels, Science, 349, 6246, pp. 396-400, (2015)
  • [2] Chen Y., Fan L.Z., Feng J., Kinematic of symmetric deployable scissor-hinge structures with integral mechanism mode, Computers and Structures, 191, pp. 140-152, (2017)
  • [3] Wei G.W., Chen Y., Dai J.S., Synthesis, mobility, and multifurcation of deployable polyhedral mechanisms with radially reciprocating motion, Journal of Mechanical Design-Transactions of the ASME, 136, 9, pp. 91003-91015, (2014)
  • [4] Tachi T., Rigid origami mechanisms, Journal of the Robotics Society of Japan, 34, 3, pp. 184-191, (2016)
  • [5] Zachary A., Jason C., Erik D.D., Et al., Rigid origami vertices: conditions and forcing sets, Journal of Coumputational Geometry, 7, 1, pp. 229-237, (2016)
  • [6] Balkcom D.J., Mason M.T., Robotic origami folding, International Journal of Robotics Research, 27, 5, pp. 613-627, (2008)
  • [7] Tomohiro T., Simulation of rigid origami, Origami 4: Proceedings the 4th International Meeting of Origami Mathematics, Science, and Education, (2009)
  • [8] An B., Benbernou N., Demaine E.D., Et al., Planning to fold multiple objects from a single self-folding sheet, Robotica, 29, 1, pp. 87-102, (2011)
  • [9] Wu W.N., Zhong Y., A solution for folding rigid tall shopping bags, Proceedings Mathematical Physical and Engineering Sciences, 467, 2133, pp. 2561-2574, (2011)
  • [10] Chen Y., Feng J., Improved symmetry method for the mobility of regular structures using graph products, Journal of Structural Engineering, 142, 9, pp. 51-65, (2016)
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