A Unified Representation for Mapping Robot Workspace and Performance with Applications for Parallel Mechanisms

In this paper, a novel method for unifying dimensions of robot workspace and performance is proposed. The unified measure allows for visualization of workspace structure as well as performance characteristics in a single graphical representation. The method is applied to a parallel mechanism to demonstrate its effectiveness as a visualization tool. Mechanism optimization and task-oriented mechanism design have also been carried out based on the proposed presentation method.

[1]  Ty A. Lasky,et al.  Kinematically-Redundant Variations of the 3-RRR Mechanism and Local Optimization-Based Singularity Avoidance , 2007 .

[2]  D. Caldwell,et al.  Geometry and Kinematic Analysis of a Redundantly Actuated Parallel Mechanism That Eliminates Singularities and Improves Dexterity , 2008 .

[3]  Congzhe Wang,et al.  Design and Kinematical Performance Analysis of a 3-RUS/RRR Redundantly Actuated Parallel Mechanism for Ankle Rehabilitation , 2013 .

[4]  Clément Gosselin,et al.  Singularity Analysis of a Three-Leg Six-Degree-of-Freedom Parallel Platform Mechanism Based on Grassmann Line Geometry , 2001, Int. J. Robotics Res..

[5]  Roger Boudreau,et al.  Synthesis of Planar Parallel Mechanisms While Considering Workspace, Dexterity, Stiffness and Singularity Avoidance , 2006 .

[6]  Roger Boudreau,et al.  The Synthesis of Three-Degree-of-Freedom Planar Parallel Mechanisms with Revolute Joints (3-ṞRR) for an Optimal Singularity-Free Workspace , 2004 .

[7]  Xin-Jun Liu,et al.  Performance atlases and optimum design of planar 5R symmetrical parallel mechanisms , 2006 .

[8]  Feng Gao,et al.  Optimum design of 3-DOF spherical parallel manipulators with respect to the conditioning and stiffness indices , 2000 .

[9]  Clément Gosselin,et al.  Conceptual Design and Dimensional Synthesis of a Novel 2-DOF Translational Parallel Robot for Pick-and-Place Operations , 2004 .

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

[11]  J. A. Carretero,et al.  Formulating Jacobian matrices for the dexterity analysis of parallel manipulators , 2006 .

[12]  Gregory Walsh,et al.  Optimization of a three DOF translational platform for well-conditioned workspace , 1997, Proceedings of International Conference on Robotics and Automation.

[13]  Anna Kosinska,et al.  Designing and optimization of parameters of delta-4 parallel manipulator for a given workspace , 2003, J. Field Robotics.

[14]  C. Gosselin Determination of the Workspace of 6-DOF Parallel Manipulators , 1990 .

[15]  Frank Chongwoo Park,et al.  Design and analysis of a redundantly actuated parallel mechanism for rapid machining , 2001, IEEE Trans. Robotics Autom..

[16]  Zhen Gao,et al.  Design optimization of a spatial six degree-of-freedom parallel manipulator based on artificial intelligence approaches , 2010 .

[17]  Kok-Meng Lee,et al.  Dynamic analysis of a three-degrees-of-freedom in-parallel actuated manipulator , 1988, IEEE J. Robotics Autom..

[18]  Clément Gosselin,et al.  Stiffness mapping for parallel manipulators , 1990, IEEE Trans. Robotics Autom..

[19]  Takashi Suehiro,et al.  Stiffness Analysis and Design of a Compact Modified Delta Parallel Mechanism , 2004, Robotica.

[20]  Vijay Kumar,et al.  Characterization of Workspaces of Parallel Manipulators , 1992 .

[21]  Jean-Pierre Merlet,et al.  Determination of the orientation workspace of parallel manipulators , 1995, J. Intell. Robotic Syst..

[22]  Tian Huang,et al.  Stiffness estimation of a tripod-based parallel kinematic machine , 2002, IEEE Trans. Robotics Autom..

[23]  Clément Gosselin,et al.  Workspaces of Planar Parallel Manipulators , 1998 .

[24]  Sherman Y.T. Lang,et al.  Joint workspace of parallel kinematic machines , 2009 .

[25]  Qingsong Xu,et al.  Stiffness analysis for a 3-PUU parallel kinematic machine , 2008 .

[26]  David J. Reinkensmeyer,et al.  Optimization of a Parallel Shoulder Mechanism to Achieve a High-Force, Low-Mass, Robotic-Arm Exoskeleton , 2010, IEEE Transactions on Robotics.

[27]  Ilian A. Bonev,et al.  Orientation Capability, Error Analysis, and Dimensional Optimization of Two Articulated Tool Heads With Parallel Kinematics , 2008 .

[28]  Clément Gosselin,et al.  A geometric algorithm for the computation of the constant-orientation workspace of 6-RUS parallel manipulators , 2000 .

[29]  Jeha Ryu,et al.  Orientation workspace analysis of 6-DOF parallel manipulators , 1999 .