Sensitivity analysis of the 3-PRS parallel kinematic spindle platform of a serial-parallel machine tool

The special configuration of a serial-parallel type machine tool possesses five degrees of freedom and provides more flexibility in NC machining. The parallel spindle platform plays the key role in manipulating three directions of movement. In this study, the inverse kinematics analysis of the platform is derived first. A sensitivity model of the spindle platform subject to the structure parameters is then proposed and analyzed. All the parameters influencing the position and orientation of the spindle platform are discussed based on the sensitivity model and the simulated examples. Critical parameters to the accuracy of the cutter location can then be found, which are the slider position, the strut length, and the tool length.

[1]  Guilin Yang,et al.  Design and kinematic analysis of modular reconfigurable parallel robots , 1999, Proceedings 1999 IEEE International Conference on Robotics and Automation (Cat. No.99CH36288C).

[2]  F. Park Computational aspects of the product-of-exponentials formula for robot kinematics , 1994, IEEE Trans. Autom. Control..

[3]  Ron P. Podhorodeski,et al.  A class of parallel manipulators based on kinematically simple branches , 1994 .

[4]  Guilin Yang,et al.  Self-calibration of three-legged modular reconfigurable parallel robots based on leg-end distance errors , 2001, Robotica.

[5]  Feng Gao,et al.  On the analysis of a new spatial three-degrees-of-freedom parallel manipulator , 2001, IEEE Trans. Robotics Autom..

[6]  Zhu Li,et al.  Error Analysis of a Serial–Parallel Type Machine Tool , 2002 .

[7]  Wan Kyun Chung,et al.  Singularity analysis of 6-DOF manipulators with the analytical representation of the determinant , 1999, Proceedings 1999 IEEE International Conference on Robotics and Automation (Cat. No.99CH36288C).

[8]  Jing Song,et al.  Kinematic performance analysis of a parallel-chain hexapod machine , 1998 .

[9]  Shang-Liang Chen,et al.  Analytical modelling of the effects of manufacturing errors on the accuracy for a TRR-XY hybrid parallel link machine tool , 2001 .

[10]  Jian Wang,et al.  On the accuracy of a Stewart platform. II. Kinematic calibration and compensation , 1993, [1993] Proceedings IEEE International Conference on Robotics and Automation.

[11]  John H. Maddocks,et al.  On the Forward Kinematics of Parallel Manipulators , 1994, Int. J. Robotics Res..

[12]  Tatsuo Arai,et al.  Accuracy analysis of a modified Stewart platform manipulator , 1995, Proceedings of 1995 IEEE International Conference on Robotics and Automation.

[13]  Jian Wang,et al.  On the accuracy of a Stewart platform. I. The effect of manufacturing tolerances , 1993, [1993] Proceedings IEEE International Conference on Robotics and Automation.