Networking Analysis of a Tetrahedral Deployable Unit Mechanism

Abstract

Facing the field of aerospace，taking the 3RR-3RRR tetrahedral deployable unit as the curved deployable antenna support mechanism，the networking method of tetrahedral unit mechanism is studied. Firstly，according to the networking principle of triangle approximating arbitrary curved surfaces，the continuous networking form and the spaced networking form are put forward and analyzed comparatively. Then，the design of curved deployable mechanism is carried out in the form of spaced networking form，and the movement process of the networking mechanism with the minimum combination unit is analyzed. Finally，the ADAMS simulation model of the minimum combination unit mechanism is established and verified. The simulation results show the correctness of the spaced networking method based on tetrahedral deployable unit. The networking method can be organized according to different sizes，forming arbitrary large curved deployable mechanisms.

Key words： tetrahedral unit; deployable mechanism; networking; kinematic analysis

References

[1] FENCI G E,CURRIE N G R. Deployable structures classification: a review[J]. International Journal of Space Structures,2017,32(2):112-30
[2] PUIG L,BARTON A,RANDO N. A review on large deployable structures for astrophysics missions[J]. Acta Astronautica,2010,67(1-2):12-26
[3] LIU G Y,CHEN W,WANG W D,et al. Design and analysis of a novel space deployable mechanism of ring and frustum type[J]. The International Journal of Advanced Manufacturing Technology,2018,94(9-12):3251-64
[4] CAO W A,YANG D H,DING H F. Topological structural design of umbrella-shaped deployable mechanisms based on new spatial closed-loop linkage units[J]. Journal of Mechanical Design,2018,140(6):062302
[5] 黄志荣,郑士昆,朱佳龙,等. 环境一号C星构架反射器展开驱动部件优化设计[J]. 雷达学报,2014,3(3):282-287
HUANG Z R,ZHENG S K,ZHU J L,et al. Design optimization of expansion driven components for the HJ-1-C satellite[J]. Journal of Radars,2014,3(3):282-287
[6] 张京街. 弹簧驱动空间可展桁架结构设计与分析理论研究[D]. 杭州：浙江大学，2001.
ZHANG J J. Design and analysis researches for truss structure driven by spring[D]. Hangzhou：Zhejiang University，2001.
[7] 陈向阳,关富玲. 六棱柱单元可展抛物面天线结构设计[J]. 宇航学报,2001,22(1):75-78
CHEN X Y,GUAN F L. A large deployable hexapod paraboloid antenna[J]. Journal of Astronautics,2001,22(1):75-78
[8] 戴璐,关富玲. 单双环可展天线桁架对比分析[J]. 南京理工大学学报,2012,36(5):814-818
DAI L,GUAN F L. Comparative analysis of deployable antenna truss with single and double ring[J]. Journal of Nanjing University of Science and Technology,2012,36(5):814-818
[9] XU Y,GUAN F L,CHEN J J,et al. Structural design and static analysis of a double-ring deployable truss for mesh antennas[J]. Acta Astronautica,2012,81(2):545-554
[10] 陈向阳,关富玲,陈务军,等. 复杂剪式铰结构的几何分析和设计[J]. 空间结构,1998,4(1):45-51
CHEN X Y,GUAN F L,CHEN W J,et al. Geometry design and analysis of complex pantograph structures[J]. Spatial Structures,1998,4(1):45-51
[11] 陈国辉,华岳,王波,等. “嫦娥4号”中继星伞状可展开天线设计与验证[J]. 深空探测学报,2018,5(6):524-530
CHEN G H, HUA Y, WANG B, et al. Design and verification for umbrella-type deployable antenna of Chang’e-4 lunar relay satellite[J]. Journal of Deep Space Exploration,2018,5(6):524-530
[12] 史创,郭宏伟,刘荣强,等. 双层环形可展开天线机构构型优选及结构设计[J]. 宇航学报,2016,37(7):869-878
SHI C,GUO H W,LIU R Q,et al. Configuration optimization and structure design of the double-Layer hoop deployable antenna mechanism[J]. Journal of Astronautics,2016,37(7):869-878
[13] 王岩. 可展开四棱锥单元构型综合与模块化阵面天线机构设计[D]. 哈尔滨：哈尔滨工业大学，2015.
WANG Y. Configuration synthesis of deployable rectangular pyramid unit and mechanism design for modular array antenna[D]. Harbin：Harbin Institute of Technology，2015.
[14] 刘荣强,郭宏伟,邓宗全. 空间索杆铰接式伸展臂设计与试验研究[J]. 宇航学报,2009,30(1):315-320
LIU R Q,GUO H W,DENG Z Q. Space cable-strut deployable articulated mast design and experiment study[J]. Journal of Astronautics,2009,30(1):315-320
[15] 单明贺. 三棱柱单元构架式可展开支撑臂结构设计与分析[D]. 哈尔滨：哈尔滨工业大学，2013.
SHAN M H. Mechanical design and analysis of a triangular prism modular deployable mast[D]. Harbin：Harbin Institute of Technology，2013.
[16] 赵林燕. 星载可展开天线展开过程的仿真与分析[D]. 西安：西安电子科技大学，2011.
ZHAO L Y. Deploying process simulation and analysis of deployable spaceborne antenna[D]. Xi’an：Xidian University，2011.
[17] 肖孟. 构架式可展开天线整机参数化建模研究[D]. 西安：西安电子科技大学，2014.
XIAO M. A research on whole product parametric modeling of modular deployable antenna[D]. Xi’an：Xidian University，2014.
[18] 李端玲,董凯捷,刘利捷,等. 基于正棱锥可展单元的球形雷达校准机构的设计方法及研究[J]. 机械工程学报,2020,56(5):123-132
LI D L,DONG K J,LIU L J,et al. Design method and research of spherical radar calibration mechanism based on positive pyramid expandable unit[J]. Journal of Mechanical Engineering,2020,56(5):123-132
[19] 朱佳龙,黄志荣,郑士昆,等. 基于螺旋理论的三棱锥折展机构构型综合与组网[J]. 机械工程学报,2020,56(5):29-38
ZHU J L,HUANG Z R,ZHENG S K,et al. Configuration synthesis and networking design of triangular pyramid deployable/foldable mechanism[J]. Journal of Mechanical Engineering,2020,56(5):29-38
[20] XU Y D,CHEN Y,LIU W L,et al. Degree of freedom and dynamic analysis of the multi-loop coupled passive-input overconstrained deployable tetrahedral mechanisms for truss antennas[J]. ASME Journal of Mechanisms and Robotics,2020,12(1):1-19
[21] 许允斗,刘文兰,陈亮亮,等. 一种新型可展组合单元的自由度与运动学分析[J]. 深空探测学报,2017,4(4):333-339
XU Y D, LIU W L, CHEN L L, et al. Mobility and kinematic analyses of a novel deployable composite element[J]. Journal of Deep Space Exploration,2017,4(4):333-339
[22] TAKAHASHI Y,IMAE M,GOYTOH T,et al. 4-4 Time comparison equipment for ETS-Ⅷ satellite ―part 1 development of flight model ―[J]. Journal of the National Institute of Information and Communications Technology,2003,50:135-143
[23] THOMSON M W. The astromesh deployable reflector[C]//IUTAM-IASS symposium on deployable structures，Theory and Applications. Cambridge, England：Univ Cambridge, 2000.
[24] GRVNBAUM B，SHEPHARD G C. Tilings and patterns[J]. American Mathematical Monthly，1987（95）：432-446.
[25] CHEN Y. Design of structural mechanisms[D]. Oxford：University of Oxford，2003：6-120.
[26] TANAKA H,SHIBUTANI Y,IZUMI S,et al. Planar mobility modes of 8-bar-jointed structures with a single degree of freedom[J]. International Journal of Solids and Structures,2012,49(13):1712-1722
[27] 刘行. 三叉Bricard可折展机构的分析与大尺度网络组装研究[D]. 哈尔滨：哈尔滨工业大学，2011：27-39.
LIU H. Research on trigeminal Bricard deoloyable/foldable mechanism and its gridding assembly[D]. Harbin：Harbin Institute of Technology，2011.
[28] 王伟. 基于Bennett机构的空间大尺度可展网络的组装与分析[D]. 哈尔滨：哈尔滨工业大学，2011：18-26.
WANG W. Assembling and analysis of large special deployable networks based on Bennett linkage[D]. Harbin：Harbin Institute of Technology，2011.
[29] WANG Y,LIU R Q,YANG H,et al. Design and deployment analysis of modular deployable structure for large antennas[J]. Journal of Spacecraft and Rockets,2015,52:1101-1111