Optimum Design of 3-3 Stewart Platform Considering Inertia Property

Optimum design is a pivotal approach to fulfill the potential advantages of the parallel manipulator in practical applications. This paper concerns the optimum design issue of the 3-3 Stewart platform considering the inertia property, in addition to the kinematic performance. On the basis of spherical usable workspace, global conditioning index (GCI) is analyzed. Atlases of the workspace and GCI are deduced with the established nondimensional design space. Further, after dynamic modeling, the global inertia index (GII) is deduced from the joint-space inertia matrix, and corresponding GII atlases are drawn. In particular, an example is presented to illustrate the process of obtaining the practical optimum results based on these non-dimensional atlases. Since both kinematic and dynamic properties are considered, the optimum result will possess comprehensive performance improvements.

[1]  Junji Furusho,et al.  Speed control of two-inertia system by PI/PID control , 1999, Proceedings of the IEEE 1999 International Conference on Power Electronics and Drive Systems. PEDS'99 (Cat. No.99TH8475).

[2]  Jinsong Wang,et al.  Kinematic calibration of gantry hybrid machine tool based on estimation error and local measurement information , 2005 .

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

[4]  Yu Yao,et al.  Block Diagonal Dominance Analysis and Judgement of Stewart Platform’s Joint-space Inertia Matrix , 2008 .

[5]  Xingjian Dong,et al.  Dynamics analysis and characteristics of the 8-PSS flexible redundant parallel manipulator , 2011 .

[6]  Guan Liwen Computed-torque control for a moving flight simulator platform , 2006 .

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

[8]  Tian Huang,et al.  A Method for Estimating Servomotor Parameters of a Parallel Robot for Rapid Pick-and-Place Operations , 2005 .

[9]  Wang,et al.  Inertia Match of a 3-RRR Reconfigurable Planar Parallel Manipulator , 2009 .

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

[11]  S. Jack Hu,et al.  Dynamic Formulation and Performance Comparison of the 3-DOF Modules of Two Reconfigurable PKM—the Tricept and the TriVariant , 2005 .

[12]  Jiang Hongzhou,et al.  Analysis of Coupling Effects on Hydraulic Controlled 6 Degrees of Freedom Parallel Manipulator Using Joint Space Inverse Mass Matrix , 2009, 2009 Second International Conference on Intelligent Computation Technology and Automation.

[13]  Xiaoqiang Tang,et al.  The Structure and Dimensional Design of a Reconfigurable PKM , 2013 .

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

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

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

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

[18]  Bhaskar Dasgupta,et al.  The Stewart platform manipulator: a review , 2000 .

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

[20]  Javad Enferadi,et al.  Accuracy and stiffness analysis of a 3-RRP spherical parallel manipulator , 2011, Robotica.

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

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

[23]  S. Staicu,et al.  DYNAMIC ANALYSIS OF THE 3-3 STEWART PLATFORM , 2009 .

[24]  J. Ryu,et al.  Singularity analysis of a four degree-of-freedom parallel manipulator based on an expanded 6 × 6 Jacobian matrix , 2012 .