Exechon机器人中的并联模块2-UPR-SPR机构由内副P驱动(U:虎克铰,P:移动副,R:转动副,S:球铰),运动部分质量大且对刚度有一定影响。提出外副驱动的2-PUR-PSR并联机构,具有和2-UPR-SPR相同的自由度数目和性质,采用螺旋理论分析了2-PUR-PSR并联机构的自由度,确定了其两条转轴,建立了位置逆解模型。基于螺旋理论得到描述机构运动/力传递性能的局部传递指标和全域优质运动/力传递空间比指标。借助空间模型法对2-PUR-PSR并联机构进行尺度综合,获得性能分布图谱,确定最优尺寸区域。2-PUR-PSR并联机构在加工、装配等方向有较好的应用前景。
The 2-UPR-SPR parallel module of the Exechon manipulator is actuated by inner prismatic pairs, which leads to heavy moving weight and negative effects on stiffness (where U denotes a universal joint, P a prismatic joint, R a revolute joint, and S a spherical joint). A 2-PUR-PSR parallel manipulator with fixed linear actuators is proposed, which has the same degrees of freedom and numbers of joints as the 2-UPR-SPR parallel module. Kinematic analysis and dimensional synthesis of the proposed manipulator are discussed. First, the mobility and inverse kinematic module of the 2-PUR-PSR parallel manipulator are analyzed. Then, based on screw theory, the local transmission index and global transmission workspace are obtained, which can be used to describe the motion/force transmission performance. Finally, the optimal design space is used to conduct dimensional synthesis. The atlases of performance are obtained to determine the optimum region. The 2-PUR-PSR parallel manipulator has great potentials in applications like machining and assembling.
[1] WAHL J. Articulated tool head:Germany, WO2000025976A2[P]. 2001-5-11.
[2] POULIOT N A, GOSSELIN C M, NAHON M A. Motion simulation capabilities of three-degrees-of-freedom flight simulators[J]. Journal of Aircraft, 2012, 35(1):9-17.
[3] NEUMANN K E. Robot:US, 4732525[P]. 1988-03-22.
[4] NEUMANN K E. Parallel-kinemaitc machine:PCT, WO/2006/054935[P]. 2006-05-26.
[5] BI Z M, JIN Y. Kinematic modeling of Exechon parallel kinematic machine[J]. Robotics and Computer-Integrated Manufacturing, 2011, 27(1):186-193.
[6] NEUMANN K E. The key to aerospace automation[C]//Proceedings of the SAE Aerospace Manufacturing and Automated Fastening Conference and Exhibition, Detroit, Michigan, USA, 2006:2006-01-3144.
[7] LI Qinchuan, XU Lingmin, CHEN Qiaohong, et al. New family of RPR-equivalent parallel mechanisms:Design and application[J]. Chinese Journal of Mechanical Engineering, 2017, 30(2):217-221.
[8] ANGELES J, LÒPEZ-CAJÚN C S. Kinematic isotropy and the conditioning index of serial robotic manipulators[J]. International Journal of Robotics Research, 1992, 11(6):560-571.
[9] STOUGHTON R S,ARAI T. A modified Stewart platform manipulator with improved dexterity[J]. Robotics and Automation, IEEE Transactions on, 1993, 9(2):166-173.
[10] MERLET J P. Jacobian, manipulability, condition number, and accuracy of parallel robots[J]. ASME Journal of Mechanical Design, 2006, 128(1):199-206.
[11] MA O, ANGELES J. Optimum architecture design of platform manipulators[C]//Proceedings of 1991 IEEE International Conference on Robotics and Automation, 1991, Pisa, Italy, 1991:1130-1135.
[12] ANGELES J. The design of isotropic manipulator architectures in the presence of redundancies[J]. International Journal of Robotics Research, 1992, 11(3):196-201.
[13] KIM S G, RYU J. New dimensionally homogeneous Jacobian matrix formulation by three end-effector points for optimal design of parallel manipulators[J]. Robotics and Automation, IEEE Transactions on, 2003, 19(4):731-736.
[14] POND G, CARRETERO J A. Formulating Jacobian matrices for the dexterity analysis of parallel manipulators[J]. Mechanism and Machine Theory, 2006, 41(12):1505-1519.
[15] YUAN M S C, FREUDENSTEIN F, WOO L S. Kinematics analysis of spatial mechanism by means of screw coordinates. Part 2-analysis of spatial mechanisms[J]. Journal of Manufacturing Science and Engineering, 1973, 95(2):67-73.
[16] SUTHERLAND G, ROTH B. A transmission index for spatial mechanisms[J]. Journal of Manufacturing Science and Engineering, 1973, 95(2):589-597.
[17] CHEN Chao, ANGELES J. Generalized transmission index and transmission quality for spatial linkages[J]. Mechanism and Machine Theory,2007,42(9):1225-1237.
[18] WANG Jinsong, WU Chao, LIU Xinjun. Performance evaluation of parallel manipulators:Motion/force transmissibility and its index[J]. Mechanism and Machine Theory, 2010, 45(10):1462-1476.
[19] 陈祥,谢富贵,刘辛军. 并联机构中运动/力传递功率最大值的评价[J]. 机械工程学报, 2014, 50(3):1-9. CHEN XIANG, XIE Fugui, Liu Xinjun. Evaluation of the maximum value of motion/force transmission power in parallel manipulators[J]. Journal of Mechanical Engineering, 2014, 50(3):1-9.
[20] LIU Xinjun, WANG Jinsong. A new methodology for optimal kinematic design of parallel mechanisms[J]. Mechanism and Machine Theory,2007,42(9):1210-1224.
[21] HUANG Zhen, LI Qinchuan. Type synthesis of symmetrical lower-mobility parallel machanisms using the constraint-synthesis method[J]. International Journal of Robotics Research, 2003, 22(1):59-79.
[22] GOSSELIN C M, ANGELES J. Singularity analysis of closed-loop kinematic chains[J]. Robotics and Automation, IEEE Transactions on, 1990, 6(3):281-290.
[23] ZLATANOV D, BONEV I A, GOSSELIN C M. Constraint singularities of parallel mechanisms[C]//Proceedings of 1991 IEEE International Conference on Robotics and Automation, May 11-15, 2002, Washington, DC, 2002:496-502.
[24] LIU Xinjun, WU Chao, WANG Jinsong. A new approach for singularity analysis and closeness measurement to singularities of parallel manipulators[J]. ASME Journal of Mechanisms Robotics, 2012, 4(4):041001.
[25] TAO D C. Applied linkage synthesis[M]. New Jersey:Addision-Wesley, 1964.