Optimal Design of Spherical 5R Parallel Manipulators Considering the Motion/Force Transmissibility

The spherical 5R parallel manipulator is a typical parallel manipulator. It can be used as a pointing device or as a minimally invasive surgical robot. This study addresses the motion/force transmission analysis and optimization of the manipulator by taking into account the motion/force transmissibility. The kinematics of the manipulator is analyzed. Several transmission indices are defined by using screw theory for the performance evaluation and dimensional synthesis. The process of determining the optimal angular parameters based on performance charts is presented. The manipulator that has a large workspace and good motion/force transmissibility is identified.

[1]  Vivek Kumar,et al.  Optimization of a Spherical Five-Bar Parallel Drive Linkage , 1994 .

[2]  J. Merlet Jacobian, Manipulability, Condition Number and Accuracy of Parallel Robots , 2005, ISRR.

[3]  Daxing Zeng,et al.  Performance Analysis and Optimal Design of a 3-DOF 3-PRUR Parallel Mechanism , 2008 .

[4]  Xin-Jun Liu,et al.  Kinematics and Closed Optimal Design of a Kind of PRRRP Parallel Manipulator , 2007 .

[5]  Chen-Chou Lin,et al.  Force Transmissibility Performance of Parallel Manipulators , 2003, J. Field Robotics.

[6]  C. Barus A treatise on the theory of screws , 1998 .

[7]  L. Tsai,et al.  Kinematics and Optimization of a Spatial 3-UPU Parallel Manipulator , 2000 .

[8]  Hiroaki Funabashi,et al.  Development of Spatial In-Parallel Actuated Manipulators with Six Degrees of Freedom with High Motion Transmissibility. , 1997 .

[9]  Clément Gosselin,et al.  A Global Performance Index for the Kinematic Optimization of Robotic Manipulators , 1991 .

[10]  Chen-Chou Lin,et al.  The force transmissivity index of planar linkage mechanisms , 2002 .

[11]  Zexiang Li,et al.  Optimal design of parallel manipulators for maximum effective regular workspace , 2005, 2005 IEEE/RSJ International Conference on Intelligent Robots and Systems.

[12]  Xin-Jun Liu Optimal kinematic design of a three translational DoFs parallel manipulator , 2006, Robotica.

[13]  Ming-June Tsai,et al.  Generalized evaluation for the transmission performance of mechanisms , 1994 .

[14]  C. Gosselin,et al.  The optimum kinematic design of a spherical three-degree-of-freedom parallel manipulator , 1988 .

[15]  D. Kohli,et al.  Grashof-Type Rotatability Criteria of Spherical Five-Bar Linkages , 1994 .

[16]  Jinsong Wang,et al.  Optimal design of a new spatial 3-DOF parallel robot with respect to a frame-free index , 2009 .

[17]  J. Angeles,et al.  Generalized transmission index and transmission quality for spatial linkages , 2007 .

[18]  Maurizio Ruggiu Position Analysis, Workspace, and Optimization of a 3-P̱PS Spatial Manipulator , 2009 .

[19]  J. Cervantes-Sánchez,et al.  On the 5R spherical, symmetric manipulator: workspace and singularity characterization , 2004 .

[20]  D. C. Tao,et al.  Applied linkage synthesis , 1964 .

[21]  Meng Li,et al.  Optimal kinematic design of 2-DOF parallel manipulators with well-shaped workspace bounded by a specified conditioning index , 2004, IEEE Transactions on Robotics and Automation.

[22]  Zhen Huang,et al.  Analysis of the workspace of 2-DOF spherical 5R parallel manipulator , 2006, Proceedings 2006 IEEE International Conference on Robotics and Automation, 2006. ICRA 2006..