Type Synthesis of 3-DOF RPR-Equivalent Parallel Mechanisms

The moving platform of an RPR-equivalent parallel mechanism (PM) can undergo a 3-degree-of-freedom (DOF) motion that is the product of a rotation followed by a translation and another rotation. A 5-DOF hybrid parallel manipulator can be developed by adding an x-y gantry or an RR serial mechanism to an RPR-equivalent PM, which is suitable for manipulations requiring high rigidity and accuracy with good dexterity along surfaces of the 3-D space. This paper investigates the type synthesis of the RPR-equivalent PM. First, the RPR motion is briefly discussed. Then, the kinematic bonds of limb chains and their mechanical generators are presented. Structural conditions for constructing an RPR-equivalent PM are presented. Furthermore, the RPR-equivalent PMs are classified into several categories, depending on the DOF of its limb chains. Numerous new architectures of the RPR-equivalent PMs are synthesized.

[1]  Xiaochuan Luo,et al.  Research on the theory and the virtual prototype of 3-DOF parallel-link coordinate-measuring machine , 2003, IEEE Trans. Instrum. Meas..

[2]  Qinchuan Li,et al.  Type synthesis of 3R2T 5-DOF parallel mechanisms using the Lie group of displacements , 2004, IEEE Transactions on Robotics and Automation.

[3]  Q. C. Li,et al.  General Methodology for Type Synthesis of Symmetrical Lower-Mobility Parallel Manipulators and Several Novel Manipulators , 2002, Int. J. Robotics Res..

[4]  J. Cervantes-Sánchez,et al.  A Comprehensive Theory of Type Synthesis of Fully Parallel Platforms , 2006 .

[5]  Clément Gosselin,et al.  Type synthesis of 3T1R 4-DOF parallel manipulators based on screw theory , 2004, IEEE Transactions on Robotics and Automation.

[6]  Hieu Minh Trinh,et al.  Two-mode overconstrained three-DOFs rotational-translational linear-motor-based parallel-kinematics mechanism for machine tool applications , 2007, Robotica.

[7]  W. Marsden I and J , 2012 .

[8]  Yan Jin,et al.  Kinematic modeling of Exechon parallel kinematic machine , 2011 .

[9]  H Y Yu,et al.  KINEMATICS FEATURE ANALYSIS OF A 3 DOF COMPLIANT MECHANISM FOR MICRO MANIPULATION , 2004 .

[10]  Antonio Frisoli,et al.  SYNTHESIS BY SCREW ALGEBRA OF TRANSLATING IN-PARALLEL ACTUATED MECHANISMS , 2000 .

[11]  Xianwen Kong,et al.  Type Synthesis of Parallel Mechanisms , 2010, Springer Tracts in Advanced Robotics.

[12]  Clément Gosselin,et al.  Type Synthesis of Three-Degree-of-Freedom Spherical Parallel Manipulators , 2004, Int. J. Robotics Res..

[13]  Clément Gosselin,et al.  Kinematic Analysis and Optimization of a New Three Degree-of-Freedom Spatial Parallel Manipulator , 2000 .

[14]  Chung-Ching Lee,et al.  Parallel mechanisms generating 3-DoF finite translation and (2 or 1)-DoF infinitesimal rotation , 2012 .

[15]  Chung-Ching Lee,et al.  Type synthesis of primitive Schoenflies-motion generators , 2009 .

[16]  Xianwen Kong,et al.  Kinematic design of a new parallel kinematic machine for aircraft wing assembly , 2012, IEEE 10th International Conference on Industrial Informatics.

[17]  Bruno Siciliano,et al.  The Tricept robot: Inverse kinematics, manipulability analysis and closed-loop direct kinematics algorithm , 1999, Robotica.

[18]  Jacques Marie Hervé,et al.  Uncoupled actuation of pan-tilt wrists , 2006, IEEE Transactions on Robotics.

[19]  Marco Carricato,et al.  Singularity-Free Fully-Isotropic Translational Parallel Mechanisms , 2002, Int. J. Robotics Res..

[20]  Qinchuan Li,et al.  1T2R Parallel Mechanisms Without Parasitic Motion , 2010, IEEE Transactions on Robotics.

[21]  Xianwen Kong,et al.  Type Synthesis of Linear Translational Parallel Manipulators , 2002 .

[22]  J. Hervé Analyse structurelle des mcanismes par groupe des dplacements , 1978 .

[23]  Marco Carricato Fully Isotropic Four-Degrees-of-Freedom Parallel Mechanisms for Schoenflies Motion , 2005, Int. J. Robotics Res..

[24]  Clément Gosselin,et al.  Motion Simulation Capabilities of Three-Degree-of-Freedom Flight Simulators , 1998 .

[25]  Qinchuan Li,et al.  Structural Shakiness of Nonoverconstrained Translational Parallel Mechanisms With Identical Limbs , 2009, IEEE Transactions on Robotics.

[26]  J. M. Hervé,et al.  Displacement manifold method for type synthesis of lower-mobility parallel mechanisms , 2004 .

[27]  Yuefa Fang,et al.  Structure Synthesis of a Class of 4-DoF and 5-DoF Parallel Manipulators with Identical Limb Structures , 2002, Int. J. Robotics Res..

[28]  Aaas News,et al.  Book Reviews , 1893, Buffalo Medical and Surgical Journal.

[29]  G. Gogu Structural synthesis of fully-isotropic translational parallel robots via theory of linear transformations , 2004 .

[30]  Xianwen Kong,et al.  Type synthesis of 4-DOF SP-equivalent parallel manipulators : A virtual chain approach , 2006 .

[31]  J. M. Hervé,et al.  Translational parallel manipulators with doubly planar limbs , 2006 .

[32]  Zexiang Li,et al.  A Geometric Theory for Synthesis and Analysis of Sub-6 DoF Parallel Manipulators , 2005, Proceedings of the 2005 IEEE International Conference on Robotics and Automation.

[33]  J. Angeles The Qualitative Synthesis of Parallel Manipulators , 2004 .

[34]  Z. Huang,et al.  Type Synthesis of Symmetrical Lower-Mobility Parallel Mechanisms Using the Constraint-Synthesis Method , 2003, Int. J. Robotics Res..

[35]  C. Gosselin,et al.  Type Synthesis of Parallel Mechanisms With Multiple Operation Modes , 2007 .

[36]  Zexiang Li,et al.  A Geometric Theory for Analysis and Synthesis of Sub-6 DoF Parallel Manipulators , 2007, IEEE Transactions on Robotics.

[37]  K. H. Hunt,et al.  Structural Kinematics of In-Parallel-Actuated Robot-Arms , 1983 .

[38]  Qinchuan Li,et al.  Parallel Mechanisms With Bifurcation of Schoenflies Motion , 2009, IEEE Transactions on Robotics.