A new methodology for optimal kinematic design of parallel mechanisms

This paper addresses the general issue of optimal kinematic design of parallel mechanisms. Optimal design is one of the most challenging issues in the field. To solve the design problem ideally, the difficulties that one should solve can be summarized as: (a) reducing the number of design parameters; (b) specifying the bounds of each parameter reasonably; (c) defining a parameter design space, in which the optimal kinematic design can be implemented logically; (d) providing all possible optimal results. This paper proposes an optimal kinematic design methodology, which is referred to as Performance-Chart based Design Methodology (PCbDM), for parallel mechanisms with fewer than five linear parameters. Some steps in this methodology are also helpful for the objective-function based optimal design. The results of this paper will be very useful in developing the computer-aided design system for parallel mechanisms. The proposed design methodology can be also applied in serial and parallel robots or any other mechanisms.

[1]  Jorge Angeles,et al.  On the kinematic design of the 5R planar, symmetric manipulator , 2001 .

[2]  Feng Gao,et al.  Mechanism design of a simplified 6-DOF 6-RUS parallel manipulator , 2002, Robotica.

[3]  Xin-Jun Liu,et al.  Some New Parallel Mechanisms Containing the Planar Four-Bar Parallelogram , 2003, Int. J. Robotics Res..

[4]  Branislav Borovac,et al.  Mechanics of turin parallel robot , 1995 .

[5]  Feng Gao,et al.  Performance atlases of the workspace for planar 3-DOF parallel manipulators , 2000, Robotica.

[6]  Herman Bruyninckx,et al.  The 321-HEXA: a fully-parallel manipulator with closed-form position and velocity kinematics , 1997, Proceedings of International Conference on Robotics and Automation.

[7]  Xin-Jun Liu,et al.  A new family of spatial 3-DoF fully-parallel manipulators with high rotational capability , 2005 .

[8]  Yuru Zhang,et al.  Performance charts for the design of robotic mechanisms with three moving links , 1996, 1996 IEEE International Conference on Systems, Man and Cybernetics. Information Intelligence and Systems (Cat. No.96CH35929).

[9]  K. Miller,et al.  Optimal kinematic design of spatial parallel manipulators: Application to Linear Delta robot , 2003 .

[10]  François Pierrot,et al.  Towards a fully-parallel 6 DOF robot for high-speed applications , 1991, Proceedings. 1991 IEEE International Conference on Robotics and Automation.

[11]  Xin-Jun Liu,et al.  A New Approach to the Design of a DELTA Robot with a Desired Workspace , 2004, J. Intell. Robotic Syst..

[12]  Damien Chablat,et al.  Architecture optimization of a 3-DOF translational parallel mechanism for machining applications, the orthoglide , 2003, IEEE Trans. Robotics Autom..

[13]  Xin-Jun Liu,et al.  Workspace atlases for the computer aided design of the Delta robot , 2003 .

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

[15]  Marco Ceccarelli,et al.  Optimal design of CaPaMan (Cassino Parallel Manipulator) with a specified orientation workspace , 2002, Robotica.

[16]  Jeha Ryu,et al.  Volumetric error analysis and architecture optimization for accuracy of HexaSlide type parallel manipulators , 2003 .

[17]  Yang Chi-Hou The space model and dimensional types of the four-bar mechanism , 1987 .

[18]  C. Gosselin,et al.  The optimum kinematic design of a spherical three-degree-of-freedom parallel manipulator , 1988 .

[19]  Gregory Walsh,et al.  Kinematics of a novel three DOF translational platform , 1996, Proceedings of IEEE International Conference on Robotics and Automation.

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

[21]  Jacques M. Hervé,et al.  Group Mathematics and Parallel Link Mechanisms , 1993, Robotics, Mechatronics and Manufacturing Systems.

[22]  Clément Gosselin,et al.  A Global Performance Index for the Kinematic Optimization of Robotic Manipulators , 1991 .

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

[24]  Vahit Mermertaş Optimal design of manipulator with four-bar mechanism , 2004 .

[25]  J. Angeles,et al.  Optimum architecture design of platform manipulators , 1991, Fifth International Conference on Advanced Robotics 'Robots in Unstructured Environments.