Design, Reconfiguration, and Control of Parallel Kinematic Machines

Parallel kinematic machines have attracted worldwide interest due to their potential in revolutionizing machine tool technology and their potential in maneuvering precisely heavy objects such as fixtures and tool holders for complex tasks in assembly and disassembly operations. Our recent research activities on parallel kinematic machines have been concentrated on the following issues. (1) The concept of vertex space was introduced to decompose complex workspace problem into simpler subproblems. Through the vertex spaces, key design parameters are analyzed, and method for determining the placement of machines and tasks are developed. (2) Design and planning issues for effective and convenient reconfiguration were studied. To assist the leg placement, the concept of foot- placement space (EPS) is introduced, and a construction method for obtaining the foot-placement space has also been developed. (3) Application of 6-dof parallel kinematic machines in machining operations leads to some unique planning and control issues. Several of them are under investigation.

[1]  Bhaskar Dasgupta,et al.  A canonical formulation of the direct position kinematics problem for a general 6-6 stewart platform , 1994 .

[2]  J.-P. Merlet Workspace-oriented methodology for designing a parallel manipulator , 1996 .

[3]  E F Fichter,et al.  A Stewart Platform- Based Manipulator: General Theory and Practical Construction , 1986 .

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

[5]  K. Waldron,et al.  Closed-form direct displacement analysis of a 6-6 Stewart platform , 1994 .

[6]  Bernard Roth,et al.  Workspace and Mobility of a Closed- Loop Manipulator , 1986 .

[7]  Kevin Cleary,et al.  Kinematic analysis of a novel 6-DOF parallel manipulator , 1993, [1993] Proceedings IEEE International Conference on Robotics and Automation.

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

[9]  G. R. Pennock,et al.  The Workspace of a General Geometry Planar Three-Degree-of-Freedom Platform-Type Manipulator , 1993 .

[10]  Jian Wang,et al.  Workspace evaluation of Stewart platforms , 1994, Adv. Robotics.

[11]  Shin-Min Song,et al.  Direct Position Analysis of the 4–6 Stewart Platforms , 1994 .

[12]  M. Raghavan The Stewart platform of general geometry has 40 configurations , 1993 .

[13]  Matthew R. Glucksberg,et al.  A six degree of freedom micromanipulator for ophthalmic surgery , 1993, [1993] Proceedings IEEE International Conference on Robotics and Automation.

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

[15]  Kenneth J. Waldron,et al.  Direct kinematic solution of a Stewart platform , 1990, IEEE Trans. Robotics Autom..

[16]  Tian Huang,et al.  The Local Dexterity, Optimal Architecture and Design Criteria of Parallel Machine Tools , 1998 .

[17]  James S. Albus,et al.  The NIST robocrane , 1993, J. Field Robotics.

[18]  Marvin Minsky,et al.  Manipulator Design Vignettes , 1972 .

[19]  Zhiming Ji Workspace analysis of stewart platforms via vertex space , 1994, J. Field Robotics.

[20]  Jean-Pierre Merlet Singular Configurations of Parallel Manipulators and Grassmann Geometry , 1989, Int. J. Robotics Res..

[21]  Zhiming Ji,et al.  Analysis of Design Parameters in Platform Manipulators , 1996 .

[22]  Zhiming Ji,et al.  Design of a reconfigurable platform manipulator , 1998 .

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

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

[25]  Joseph Duffy,et al.  A Direct Determination of the Instantaneous Kinematics of Fully Parallel Robot Manipulators , 1985 .

[26]  D. C. H. Yang,et al.  Feasibility Study of a Platform Type of Robotic Manipulators from a Kinematic Viewpoint , 1984 .

[27]  D. Stewart A Platform with Six Degrees of Freedom , 1965 .

[28]  J. C. Hudgens A Fully-Parallel Six Degree-of-Freedom Micromanipulator. Kinematic Analysis and Dynamic Model , 1988 .

[29]  Tatsuo Arai,et al.  A prototype parallel manipulator: kinematics, construction, software, workspace results, and singularity analysis , 1991, Proceedings. 1991 IEEE International Conference on Robotics and Automation.

[30]  C. Innocenti,et al.  Forward Kinematics of the General 6–6 Fully Parallel Mechanism: An Exhaustive Numerical Approach Via a Mono-Dimensional-Search Algorithm , 1993 .

[31]  Clément Gosselin,et al.  Singularity analysis of closed-loop kinematic chains , 1990, IEEE Trans. Robotics Autom..

[32]  Jean-Pierre Merlet Closed-form resolution of the direct kinematics of parallel manipulators using extra sensors data , 1993, [1993] Proceedings IEEE International Conference on Robotics and Automation.

[33]  Lung-Wen Tsai,et al.  Synthesis and analysis of a new class of six-degree-of-freedom parallel minimanipulators , 1993, J. Field Robotics.

[34]  Ka C. Cheok,et al.  Exact methods for determining the kinematics of a stewart platform using additional displacement sensors , 1993, J. Field Robotics.

[35]  J. Duffy,et al.  A forward displacement analysis of a class of stewart platforms , 1989, J. Field Robotics.