To obtain the structure of a fully-decoupled two-translational and three-rotational(2T3R)hybrid mechanisms
a simple and effective synthesis of decoupled hybrid mechanism(HM)is proposed and described in detail based on G
F
set. The basic algorithms for G
F
set are firstly introduced. The topological structure of the hybrid mechanism is developed by the elements of G
F
set combination formula and the synthesis equation of the number of hybrid mechanism. Following the selection criterion of the input pair and the design principle of decoupled branches
the movement decoupling of the hybrid mechani
sm is ensured. According to the type synthesis theory
the combination of each module unit constituting HM is obtained. And taking one kind of the combination form as an example
the structural synthesis of the 2T3R 5-DOF decoupled hybrid mechanism is finished. Moreover
the expression of Jacobian matrix is deduced
and the decoupling feature of the proposed hybrid mechanisms is validated
which demonstrates the correctness of the novel method of structural synthesis for HMs. The synthesis method proposed also can be used to obtain the structural design of serial
parallel and hybrid mechanisms with decoupled movement features.
LI Bin, HUANG Tian, LIU Haitao. Position analysis of a 3-DOF PKM module for a 5-DOF hybrid robot Exechon [J]. China Mechanical Engineering, 2010, 21(23): 2785-2789.
HUANG T, WANG P F, ZHAO X M, et al. Design of a 4-DOF hybrid PKM module for large structural component assembly [J]. CIRP Annals: Manufacturing Technology, 2010, 59(1): 159-162.
LI Ju, ZHAO Dean, SHEN Huiping. Design of 5-axes hybrid robot with several spray guns for collaborative spraying [J]. Transactions of the Chinese Society for Agricultural Machinery, 2012, 43(4): 216-220.
GAO Yunfeng, LÜ Mingrui, ZHOU Lun. Analysis of kinematics of a five-axis hybrid manipulator [J]. Journal of Harbin Institute of Technology, 2014, 46(7): 1-7.
UCHIYAMA T, TERADA H, MITSUYA H. Continuous path control of a 5-DOF parallel-serial hybrid robot [J]. Journal of Mechanical Science and Technology, 2010, 24(1): 47-50.
LIU Haitao, HUANG Tian, MEI Jianping. Kinematic design of a 5-DOF hybrid robot with large workspace/limb-stroke ratio [J]. ASME Journal of Mechanical Design, 2007, 129(5): 530-537.
GMEZ-BRAVO F, CARBONE G, FORTES J C. Collision free trajectory planning for hybrid manipulators [J]. Mechatronics, 2012, 22(6): 836-851.
CAMPOS A, BUDDE C, HESSELBACH J. A type synthesis method for hybrid robot structures [J]. Mechanism and Machine Theory, 2008, 43(8): 984-995.
SHEN Huiping, ZHAO Haibin, DENG Jiaming, et al. Type design method and the application for hybrid robot based on freedom distribution and position and orientation characteristic set [J]. Chinese Journal of Mechanical Engineering, 2011, 47(23): 56-64.
ZENG Qiang, FANG Yuefa. Structural synthesis and analysis of serial-parallel hybrid mechanisms with spatial multi-loop kinematic chains [J]. Mechanism and Machine Theory, 2012, 49(3): 198-215.
GOGU G. Structural synthesis of fully-isotropic translational parallel robots via theory of linear transformations [J]. European Journal of Mechanics: A Solids, 2004, 23(6): 1021-1039.
ZENG D X, HUANG Z. Type synthesis of the rotational decoupled parallel mechanism based on screw theory [J]. Science China: Technological Sciences, 2011, 54(4): 998-1004.
ZHANG Y, LIU H, WU X. Kinematics analysis of a novel parallel manipulator [J]. Mechanism and Machine Theory, 2009, 44(9): 1648-1657.
KONG X W, GOSSELIN C M. Type synthesis of input-output decoupled parallel manipulators [J]. Transactions of the Canadian Society for Mechanical Engineering, 2004, 28(2): 185-196.
YANG Jialun, GAO Feng, GE Qiaode Jeffrey, et al. Type synthesis of parallel mechanisms having the first class GF sets and one-dimensional rotation [J]. Robotica, 2011, 29(6): 895-902.
高峰. 并联机器人型综合的GF集理论 [M]. 北京: 科学出版社, 2011: 9-16.
JIN Q, YANG T L. Synthesis and analysis of a group of 3-degree-of-freedom partially decoupled parallel manipulators [J]. ASME Journal of Mechanical Design, 2004, 126(2): 301-306.
GAO F, LI W, ZHAO X. New kinematic structures for 2-, 3-, 4-, and 5-DoF parallel manipulator designs [J]. Mechanism and Machine Theory, 2002, 37(12): 1395-1411.