Design and Motion Pattern Analysis of Reconfigurable Cube Mechanism

doi:10.3901/JME.2020.13.120

Abstract

Abstract: With the rapid development of aerospace technology, the functional requirements of large-scale space deployable mechanisms have become more and more diverse, and reconfigurable deployable mechanisms with multiple deployment modes have emerged. The deployable cube mechanism is taken as the research object, and its mechanism composition and layered construction method are introduced. By analyzing the constraints of the adjacent faces of the cube mechanism, the mechanism diagram of the face is drawn, and the geometric constraints of the face unit under the square and rectangular outer contours are obtained. The coupling motion of three adjacent face units is analyzed, and the possible motion modes of the three faces are obtained. Furthermore, the possible motion modes of the cube mechanism are obtained. A combination of two cube mechanisms is obtained by the vertex connection, the edge connection and the face connection, and multi-mode analysis under various connection conditions is analyzed. Finally, a prototype is fabricated, and the typical configurations of the edge connection and face connection of two cube combinations are built, which verifies the correctness of the theoretical analysis.

Key words: reconfigurable mechanism, deployable mechanism, cube, constraint conditions, motion pattern

CLC Number:

TG156

HAO Yanling, LI Ruiming, SUN Xuemin, YAO Yanan. Design and Motion Pattern Analysis of Reconfigurable Cube Mechanism[J]. Journal of Mechanical Engineering, 2020, 56(13): 120-127.

References

[1] 邓宗全. 空间折展机构设计[M]. 哈尔滨:哈尔滨工业大学出版社,2013. DENG Zongquan. Design of space deploable and foldable mechanisms[M]. Harbin:Harbin Institute of Technology Press,2013.
[2] VERHEYEN H F. The complete set of Jitterbug transformers and the analysis of their motion[J]. Computers & Mathematics with Applications,1989,17(1-3):203-250.
[3] WOHLHART K. New overconstrained spheroidal linkages[C]//Proceedings of the Ninth World Congress on the Theory of Machines and Mechanisms,Milano,Italy,1995:149-154.
[4] WOHLHART K. Kinematics and dynamics of the Fulleroid[J]. Multibody System Dynamics,1997,1(2):241-258.
[5] ROSCHEL O. A Fulleroid-like mechanism based on the cube[J]. Journal for Geometry and Graphics,2012,16(1):19-27.
[6] KOVACS F,TARNAI T,FOWLER P W,et al. Double-link expandohedra:A mechanical model for expansion of a virus[J]. Proceedings of the Royal Society of London. Series A:Mathematical,Physical and Engineering Sciences,2004,460(2051):3191-3202.
[7] KIPER G,SÖYLEMEZ E,KIŞISEL A Ö. A family of deployable polygons and polyhedra[J]. Mechanism and Machine Theory,2008,43(5):627-640.
[8] YANG Fufu,CHEN Yan. One-DOF transformation between tetrahedron and truncated tetrahedron[J]. Mechanism and Machine Theory,2018,121:169-183.
[9] WEI Xiangzhi,YAO Yanan,TIAN Yaobin,et al. A new method of creating expandable structure for spatial objects[J]. Proceedings of the Institution of Mechanical Engineers,Part C:Journal of Mechanical Engineering Science,2006,12:1813-1818.
[10] ST-ONGE D,GOSSELIN C. Synthesis and design of a one degree-of-freedom planar deployable mechanism with a large expansion ratio[J]. Journal of Mechanisms and Robotics,2016,8(2):021025.
[11] WOHLHART K. Regular polyhedral linkages[C]//2nd Workshop on Computational Kinematics,Seoul,Korea,2001:4-6.
[12] WOHLHART K. Irregular polyhedral linkages[C]//Proc. the Eleventh World Congress in Mechanism and Machine Science,2004:1.
[13] XIU Haohua,WANG Kunyang,WEI Guowu,et al. A Sarrus-like overconstrained eight-bar linkage and its associated Fulleroid-like platonic deployable mechanisms[J]. Proceedings of the Institution of Mechanical Engineers,Part C:Journal of Mechanical Engineering Science,2018,1:0954406218816343.
[14] XIU Haohua,WANG Kunyang,XU Tao,et al. Synthesis and analysis of Fulleroid-like deployable Archimedean mechanisms based on an overconstrained eight-bar linkage[J]. Mechanism and Machine Theory,2019,137:476-508.
[15] KUO C H,DAI J S,YAN H S. Reconfiguration principles and strategies for reconfigurable mechanisms[C]//ASME/IFToMM International Conference on Reconfigurable Mechanisms and Robots,IEEE,2009:1-7.
[16] 李端玲,张忠海,戴建生,等. 变胞机构的研究综述与展望[J]. 机械工程学报,2010,46(13):14-21. LI Duanling,ZHANG Zhonghai,DAI Jiansheng,et al. Overview and prospects of metamorphic mechanism[J]. Journal of Mechanical Engineering,2010,46(13):14-21.
[17] WEI Guowu,DAI Jiansheng. Advances in robot kinematics[M]. London:Springer,2014.
[18] WANG Jieyu,KONG Xianwen. Deployable mechanisms constructed by connecting orthogonal Bricard linkages,8R or 10R single-loop linkages using S joints[J]. Mechanism and Machine Theory,2018,120:178-191.
[19] GAO Changqing,HUANG Hailin,LI Bing,et al. Design of a truss-shaped deployable grasping mechanism using mobility bifurcation[J]. Mechanism and Machine Theory,2019,139:346-358.
[20] LI Ruiming,YAO Yanan,KONG Xianwen. Advances in reconfigurable mechanisms and robots II[M]. London:Springer,2016.
[21] LI Ruiming,YAO Yanan,KONG Xianwen. A class of reconfigurable deployable platonic mechanisms[J]. Mechanism and Machine Theory,2016,105:409-427.
[22] LI Ruiming,YAO Yanan,DING Xilun. A family of reconfigurable deployable polyhedral mechanisms based on semiregular and Johnson polyhedra[J]. Mechanism and Machine Theory,2018,126:344-358.
[23] LI Ruiming,SUN Xuemin,CHEN Yanqiong,et al. Design and analysis of reconfigurable deployable polyhedral mechanisms with straight elements[J]. Journal of Mechanisms and Robotics,2019,11(4):044502.
[24] LI Ruiming,YAO Yanan,KONG Xianwen. Reconfigurable deployable polyhedral mechanism based on extended parallelogram mechanism[J]. Mechanism and Machine Theory,2017,116:467-480.