A study on workspace, boundary workspace analysis and workpiece positioning for parallel machine tools

Abstract We present an algorithm, called the boundary search method, to determine the workspace of a parallel machine tool, and taking the parallel machine tool BJ-30 developed by the Harbin Institute of Technology as an example, its workspace based on the cutter point is calculated. We also analyze the boundary workspace in order to expand its operating scope. Due to the irregular workspace of the parallel machine tool and the angle confinement between tool axis and Z -axis, it is difficult to determine the right position and orientation of a workpiece in the workspace by intuition. So we illustrate how to construct a mathematical model to realize the automatic positioning of a workpiece, and this is an important instruction of significance and reference value when cutting a workpiece.

[1]  Charles C. Nguyen,et al.  Kinematic analysis and workspace determination of a 6 dof ckcm robot end-effector , 1989 .

[2]  Koichi Sugimoto,et al.  Kinematic and Dynamic Analysis of Parallel Manipulators by Means of Motor Algebra , 1987 .

[3]  H. McCallion,et al.  A compliant device for inserting a peg in a hole , 1979 .

[4]  Kenneth J. Waldron,et al.  Series-Parallel Dualities in Actively Coordinated Mechanisms , 1988, Int. J. Robotics Res..

[5]  James S. Albus,et al.  Stiffness Study of a Parallel Link Robot Crane for Shipbuilding Applications , 1988 .

[6]  Hanqi Zhuang,et al.  Method for kinematic calibration of stewart platforms , 1993, J. Field Robotics.

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

[8]  D. Stewart,et al.  A Platform with Six Degrees of Freedom , 1965 .

[9]  S. Dubowsky,et al.  Real-Time Control of the MIT Vehicle Emulation System , 1991, 1991 American Control Conference.

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

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

[12]  Thomas B. Sheridan,et al.  Human supervisory control of robot systems , 1986, Proceedings. 1986 IEEE International Conference on Robotics and Automation.

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

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

[15]  Tatsuo Arai,et al.  Design, analysis and construction of a prototype parallel link manipulator , 1990, EEE International Workshop on Intelligent Robots and Systems, Towards a New Frontier of Applications.

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

[17]  D. Stewart,et al.  A Platform with Six Degree of Freedom , 1965 .

[18]  James S. Albus,et al.  Computer simulation of a parallel link manipulator , 1989 .

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