Type Synthesis of Bifurcation 2Rv Generalized Parallel Mechanisms with Variable/Invariable Rotational Axes
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摘要: 现有大部分2R并联机构靠近定平台的第1个转轴方向矢量不变,靠近动平台的第2个转轴方向矢量只随着第1个转轴而变化,第2转轴相对于动平台不变。本文利用有限旋量理论,在具有变/定转轴分岔1Rv(Rv表示变转轴转动)并联机构基础上,提出一类具有变/定轴线的2Rv并联机构。分析了机构装配条件和驱动配置。此种分岔2Rv并联机构包含4种运动模式,即定-定转轴运动模式、定-变转轴运动模式、变-定转轴运动模式和变-变转轴运动模式。将传统的2条定转轴2R并联机构拓展为具有变/定转轴(变转轴和定转轴)的分岔2Rv广义并联机构。Abstract: The direction vector of the first rotating axis near the fixed platform remains constant in most existing 2R parallel mechanisms, while the direction vector of the second rotating axis near the moving platform only changes around the first rotating axis, and it remains constant relative to the moving platform. Based on spherical 4R mechanism, a class of 1Rv parallel mechanism with variable/invariable rotation axis was synthesized, and the change of the rotation axis of 1Rv mechanism was derived according to the finite screw theory. Based on bifurcation 1Rv parallel mechanisms with variable/invariable rotation axis, a 2Rv parallel mechanisms with two variable/invariable rotational axes was proposed by using the finite screw theory. The assembly condition and drive configuration of this kind of 2Rv parallel mechanism were analyzed. The novel bifurcated 2Rv parallel mechanism consists of four motion modes: invariable-invariable axes motion mode(in this mode, the first axis of rotation vector was invariable, and the second axis of rotation was also invariable relative to the moving platform), invariable-variable axes motion mode(in this mode, the first axis of rotation vector was invariable, and the second axis of rotation was variable relative to the moving platform), variable-invariable axes motion mode(in this mode, the first axis of rotation vector was variable, and the second axis of rotation was invariable relative to the moving platform), and variable-variable axes motion mode(in this mode, the first axis of rotation vector was variable, and the second axis of rotation was also variable relative to the moving platform). The existing 2R parallel mechanism with two invariable rotation axes was extended to the bifurcation 2Rv generalized parallel mechanism with two variable/invariable rotation axes(variable and invariable rotation axes).
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[1] WOHLHART K.Kinematotropic mechanisms[M].Dordrecht:Kluwer Academic Publishers,1996.
[2] GALLETTI C,FANGHELLA P.Single-loop kinematotropic mechanisms[J].Mech.Mach.Theory,2001,36:743-761.
[3] GALLETTI C,GIANNOTTI E.Multiloop kinematotropic mechanisms[C]//International Design Engineering Technical Conferences and Computers and Information in Engineering Conference,2002:455-460.
[4] ZENG Qiang,EHMANN K F,CAO Jian.Design of general kinematotropic mechanisms[J].Robotics and Computer-Integrated Manufacturing,2016,38:67-81.
[5] JUN Wei,DAI Jiansheng.Lie group based type synthesis using transformation configuration space for reconfigurable parallel mechanisms with bifurcation between spherical motion and planar motion[J].J.Mech.Design,2020,142(6):1-13.
[6] FANGHELLA P,GALLETTI C,GIANNOTTI E.Parallel robots that change their group of motion[M].Netherlands:Springer,2006.
[7] REFAAT S,HERVÉ J M,NAHAVANDI S,et a1.Two mode overconstrained three DOFs rotational translational linear motor based parallel kinematics mechanism for machine tool applications[J].Robotica,2007,25(4):461-466.
[8] ZHANG Ketao,DAI Jiansheng,FANG Yuefa.Topology and constraint analysis of phase change in the metamorphic chain and its evolved mechanism[J].J.Mech.Design,2010,132(12):121001-121011.
[9] ZHANG Ketao,DAI Jiansheng,FANG Yuefa.Constraint analysis and bifurcation motion of the 3PUP parallel mechanism[J].Mech.Mach.Theory,2012,49:256-269.
[10] XU Yundou,ZHANG Dongsheng,WANG Min,et a1.Type synthesis of two-degrees-of-freedom rotational parallel mechanism with two continuous rotational axes[J].Chinese Journal of Mechanical Engineering,2016,29(4):694-702.
[11] ZENG Daxing,HUANG Zhen.Type synthesis of the rotational decoupled parallel mechanism based on screw theory[J].Science China Technological Sciences,2011,54(4):998-1004.
[12] FAN Caixia,LIU Hongzhao,ZHANG Yanbin.Type synthesis of 2T2R,1T2R and 2R parallel mechanisms[J].Mech.Mach.Theory,2013,61:184-190.
[13] XU Yundou,WANG Bei,WANG Zhifeng,et al.Investigations on the principle of full decoupling and type synthesis of 2R1T and 2R parallel mechanisms[J].Transactions of the Canadian Society for Mechanical Engineering,2018,43(2):263-271.
[14] LI Qinchuan,HERVE J M.Parallel mechanisms with bifurcation of Schoenflies motion[J].IEEE Trans.Robot.,2009,25(1):158-164.
[15] FANG Yuefa,TSAI L W.Structure synthesis of a class of 4-DoF and 5-DoF parallel manipulators with identical limb structures[J].Int.J.Robot Res.,2002,21(9):799-810.
[16] YANG Shuofei,SUN Tao,HUANG Tian.Type synthesis of parallel mechanisms having 3T1R motion with variable rotational axis[J].Mech.Mach.Theory,2017,109:220-230.
[17] YANG Shuofei,LI Yangmin.Different kinds of 3T2R serial kinematic chains and their applications in synthesis of parallel mechanisms[J].Mech.Mach.Theory,2020,144:103637.
[18] YANG Shuofei,LI Yangmin.Kinematic analysis of deployable parallel mechanisms[J].Proc IMechE,Part C:J Mechanical Engineering Science,2020,234 (1):263-272.
[19] YANG Shuofei,LI Yangmin.Motion generators of quadric surfaces[J].Mech.Mach.Theory,2019,140:446-456.
[20] SHAO Pengjie,WANG Zhe,YANG Shuofei,et al.Dynamic modeling of a two-DoF rotational parallel robot with changeable rotational axes[J].Mech.Mach.Theory,2019,131:318-335.
[21] HUANG Tian,YANG Shuofei,WANG Manxin,et al.An approach to determining the unknown twist/wrench subspaces of lower mobility serial kinematic chains[J].J.Mech.Robot,2015,7(3):031003-1-031003-9.
[22] LI Dian,GUO Sheng,QU Haibo.A novel multiple working modes parallel mechanism with variable workspace[J].Proc IMechE,Part C:J Mechanical Engineering Science,2020,234(1):211-224.
[23] SUN Tao,YANG Shuofei,HUANG Tian,et al.A way of relating instantaneous and finite screws based on the screw triangle product[J].Mech.Mach.Theory,2016,108:75-82.
[24] 刘伟,刘宏昭.具有2T1R与2R1T运动模式3自由度并联机构型综合[J].农业机械学报,2018,49(7):401-409.LIU Wei,LIU Hongzhao.Type synthesis of 3-dof parallel mechanism with 2T1R and 2R1T motion mode[J].Transactions of the Chinese Society for Agricultural Machinery,2018,49(7):401-409.(in Chinese) [25] 刘伟,刘宏昭,胡旭宇.具有多模式球面4R机构结构参数研究[J].农业机械学报,2022,53(3):440-448.LIU Wei,LIU Hongzhao,HU Xuyu.Structural parameters of spherical 4R mechanism with multiple modes[J].Transactions of the Chinese Society for Agricultural Machinery,2022,53(3):440-448.(in Chinese) [26] HU Xuyu,LIU Hongzhao.Type synthesis and analysis of a new class of 3T2Rv parallel mechanisms with variable/invariable rotational axes[J].IEEE Access,2021(9):164300-164315.
[27] 刘伟,刘宏昭,胡旭宇.具有固定转动轴线和变转动轴线3T1R并联机构构型综合[J].农业机械学报,2022,53(2):451-458.LIU Wei,LIU Hongzhao,HU Xuyu.Type synthesis of 3T1R parallel machine with fixed rotation axis and variable rotation axis[J].Transactions of the Chinese Society for Agricultural Machinery,2022,53(2):451-458.(in Chinese)
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