Atlas based kinematic optimum design of the Stewart parallel manipulator

Optimum design is a key approach to make full use of potential advantages of a parallel manipulator. The optimum design of multi-parameter parallel manipulators(more than three design parameters), such as Stewart manipulator, relies on analysis based and algorithm based optimum design methods, which fall to be accurate or intuitive. To solve this problem and achieve both accurate and intuition, atlas based optimum design of a general Stewart parallel manipulator is established, with rational selection of design parameters. Based on the defined spherical usable workspace(SUW), primary kinematic performance indices of the Stewart manipulator, involving workspace and condition number are introduced and analyzed. Then, corresponding performance atlases are drawn with the established non-dimensional design space, and impact of joint distribution angles on the manipulator performance is analyzed and illustrated. At last, an example on atlas based optimum design of the Stewart manipulator is accomplished to illustrate the optimum design process, considering the end-effector posture. Deduced atlases can be flexibly applied to both quantitative and qualitative analysis to get the desired optimal design for the Stewart manipulator with respect to related performance requirements. Besides, the established optimum design method can be further applied to other multi-parameter parallel manipulators.

[1]  Jean-Pierre Merlet.  Determination of 6D Workspaces of Gough-Type Parallel Manipulator and Comparison between Different Geometries , 1999, Int. J. Robotics Res..

[2]  Gao Feng,et al.  A physical model of the solution space and the atlas of the reachable workspace for 2-DOF parallel planar manipulators , 1996 .

[3]  Dan Zhang,et al.  Dynamic modelling of a 4-DOF parallel kinematic machine with revolute actuators , 2008, Int. J. Manuf. Res..

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

[5]  Jan A. Snyman,et al.  Methodologies for the optimal design of parallel manipulators , 2004 .

[6]  Jean-Pierre Merlet,et al.  Designing a Parallel Manipulator for a Specific Workspace , 1997, Int. J. Robotics Res..

[7]  Bing Wang,et al.  Performance Atlases of Global Conditioning Index of Planar 3-DOF Parallel Manipulator with Actuation Redundancy , 2012 .

[8]  S. Bai.  Optimum design of spherical parallel manipulators for a prescribed workspace , 2010 .

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

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

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

[12]  J. Kenneth Salisbury,et al.  Articulated Hands , 1982 .

[13]  Jorge Angeles,et al.  Architecture singularities of platform manipulators , 1991, Proceedings. 1991 IEEE International Conference on Robotics and Automation.

[14]  Qiuju Zhang,et al.  Orientation-singularity representation and orientation-capability computation of a special class of the Gough-Stewart parallel mechanisms using unit quaternion , 2012 .

[15]  Peng Huang,et al.  Dimensional Optimization Design of the Four-Cable-Driven Parallel Manipulator in FAST , 2010, IEEE/ASME Transactions on Mechatronics.

[16]  Xin-Jun Liu,et al.  Optimum design of the 5R symmetrical parallel manipulator with a surrounded and good-condition workspace , 2006, Robotics Auton. Syst..

[17]  Peng Huang,et al.  Accuracy analysis of Stewart platform based on interval analysis method , 2013 .

[18]  Jianming,et al.  Analysis and Application of the Singularity Locus of the Stewart Platform , 2011 .

[19]  Liping Wang,et al.  Research on the inertia matching of the Stewart parallel manipulator , 2012 .

[20]  Xiaoqiang Tang,et al.  Trajectory generation and tracking control of a multi-level hybrid support manipulator in FAST , 2013 .

[21]  Xiaoqiang Tang,et al.  Workspace quality analysis and application for a completely restrained 3-Dof planar cable-driven parallel manipulator , 2013 .

[22]  Feng Gao,et al.  Performance evaluation of two-degree-of-freedom planar parallel robots , 1998 .

[23]  Rui Yao,et al.  Dimensional Design on the Six-Cable Driven Parallel Manipulator of FAST , 2011 .

[24]  Charles A. Klein,et al.  Dexterity Measures for the Design and Control of Kinematically Redundant Manipulators , 1987 .

[25]  Marco Ceccarelli,et al.  A multi-objective optimum design of general 3R manipulators for prescribed workspace limits , 2004 .

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

[27]  Jan Anthonis,et al.  New design for a 6 dof vibration simulator with improved reliability and performance , 2005 .