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Dimensional synthesis of the Delta robot using transmission angle constraintsDimensional synthesis of the Delta robot using transmission angle constraints

Published online by Cambridge University Press:  01 July 2011

LiMin Zhang ,
JiangPing Mei ,
XueMan Zhao  and
Tian Huang
LiMin Zhang
Affiliation:
School of Mechanical Engineering, Tianjin University, Tianjin 300072, China
JiangPing Mei*
Affiliation:
School of Mechanical Engineering, Tianjin University, Tianjin 300072, China
XueMan Zhao
Affiliation:
School of Mechanical Engineering, Tianjin University, Tianjin 300072, China
Tian Huang
Affiliation:
School of Mechanical Engineering, Tianjin University, Tianjin 300072, China
*
*Corresponding author. E-mail: ppm@tju.edu.cn
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Summary

This paper deals with dynamic dimensional synthesis of the Delta robot using the pressure/transmission angle constraints. Two types of pressure/transmission angles are defined, with which the direct and indirect singularities can be identified in a straightforward manner. Two novel global dynamic metrics are proposed for minimisation, which are associated respectively with the inertial and centrifuge/Coriolis components of the driving torque. Various geometrical and performance constraints are taken into account in terms of workspace/machine volume ratio, pressure/transmission angles, etc. The effects of pressure/transmission angle constraints on the feasible domain of design variables are investigated in depth via an example, and a set of optimised dimensional parameters is obtained for achieving a good kinematic and dynamic performance throughout the entire task workspace.

Keywords

Parallel robotTransmission angleDimensional synthesisDesignDynamic performance
Type
Articles
Information
Robotica , Volume 30 , Issue 3 , May 2012 , pp. 343 - 349
Copyright
Copyright © Cambridge University Press 2011

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References

1.Huang, T., Li, M., Li, Z. X., Chetwynd, D. G. and Whitehouse, D. J. “Planar parallel robot mechanism with two translational degrees of freedom,” US Patent, 7090458 B2 (2006).Google Scholar
2.Huang, T., Li, Z. X., Li, M., Chetwynd, D. G. and Gosselin, C. M. “Conceptual design and dimensional synthesis of a novel 2-DOF translational parallel robot for pick-and-place operations,” ASME J. Mech. Des. 126, 449–455 (2004).CrossRefGoogle Scholar
3.Clavel, R., “Device for the movement and positioning of an element in space,” US Patent, 4976582 (1990).Google Scholar
4.Clavel, R., “A Fast Robot with Parallel Geometry,” Proceedings of the 18th International Symposium on Industrial Robots, Lausanne, Switzerland (1988) pp. 91–100.Google Scholar
5.Pierrot, F. and Company, O., “H4: A New Family of 4-dof Parallel Robots,” Proceedings of IEEE/ASME International Conference on Advanced Intelligent Mechatronics, Atlanta, USA (1999) pp. 508–513.Google Scholar
6.Nabat, V., Rodriguez, M., Company, O., krut, S. and Pierrot, F. “Par4: Very High Speed Parallel Robot for Pick-And-Place,” Proceedings of the IEEE International Conference on Intelligent Robotic Systems (IROS), Edmonton, Alberta (2005) pp. 553–558.Google Scholar
7.Yoshikawa, T., “Manipulability of robotic mechanisms,” Int. J. Robot. Res. 4 (2), 439–446 (1985).CrossRefGoogle Scholar
8.Zanganeh, K. and Angeles, J., “Kinematic isotropy and the optimum design of parallel manipulators,” Int. J. Robot. Res. 6, 185–197 (1997).CrossRefGoogle Scholar
9.Chablat, D., Wenger, P. and Angeles, J., “The Iso-Conditioning Loci of a Class of Closed-Chain Manipulators,” Proceedings of IEEE International Conference on Robotics and Automation (ICRA), Leuven, Belgium (1998) pp. 1970–1975.Google Scholar
10.Gosselin, C. M. and Angeles, J., “The optimum kinematic design of a spherical 3-DOF parallel manipulator,” J. Mech. Transm. Autom. Des. 111 (2), 202–207 (1989).CrossRefGoogle Scholar
11.Huang, T., Whitehouse, D. J. and Wang, J. S., “Local dexterity, optimum architecture and design criteria of parallel machine tools,” CIRP Ann. 47 (1), 347–351 (1998).CrossRefGoogle Scholar
12.Gosselin, C. M. and Angeles, J., “A globe performance index for the kinematic optimization of robotic manipulators,” ASME J. Mech. Des. 113, 220–226 (1991).CrossRefGoogle Scholar
13.Miller, K., “Maximization of workspace volume of 3-DOF spatial parallel manipulator,” ASME J. Mech. Des. 124, 347–350 (2002).CrossRefGoogle Scholar
14.Miller, K., “Optimal design and modeling of spatial parallel manipulators,” Int. J. Robot. Res. 23 (2), 127–140 (2004).CrossRefGoogle Scholar
15.Laribi, M. A., Romdhane, L. and Zeghloul, S., “Analysis and dimensional synthesis of the Delta robot for a prescribed workspace,” Mech. Mach. Theory 42, 859–870 (2007).CrossRefGoogle Scholar
16.Choi, H., Konno, A. and Uchiyama, M., “Design, implementation, and performance evaluation of a 4-dof parallel robot,” Robotica 28 (1), 107–118 (2010).CrossRefGoogle Scholar
17.Huang, T., Li, M., Li, Z. X., Chetwynd, D. G. and Whitehouse, D. J. “Optimal kinematic design of 2-DOF parallel manipulators with well-shaped workspace bounded by a specified conditioning index,” IEEE Trans. Robot. Autom. 20 (3), 538–542 (2004).CrossRefGoogle Scholar
18.Sun, J. W. H. and Waldron, K. J., “Graphical transmission angle control in planar linkage synthesis,” Mech. Mach. Theory 14, 385–397 (1981).CrossRefGoogle Scholar
19.Balli, S. S. and Chand, S., “Transmission angle in mechanisms,” Mech. Mach. Theory 37, 175–195 (2002).CrossRefGoogle Scholar
20.Liu, X. J., Wu, C. and Wang, J. S., “A New Index for the Performance Evaluation of Parallel Manipulators: A Study on Planar Parallel Manipulators,”Proceeding of the 6th World Congress on Intelligent Control and Automation (WCICA), Chongqing, China (2008) pp. 353–357.Google Scholar
21.Ma, O. and Angeles, J., “Optimum Design of Manipulators Under Dynamic Isotropy Conditions,” Proceedings of the IEEE International Conference on Robotics and Automation (ICRA), Atlanta, USA (1993) pp. 470–475.Google Scholar
22.Yoshikawa, T., “Dynamic manipulability of robot manipulators,” J. Rob. Syst. 2 (1), 113–124 (1985).Google Scholar
23.Tadokoro, S., Kimura, I. and Takamori, T., “A Measure for Evaluation of Dynamic Dexterity Based on a Stochastic Interpretation of Manipulator Motion,” Proceedings of the IEEE International Conference on Robotics and Automation (ICRA), Pisa, Italy (1991) pp. 509–514.Google Scholar
24.Codourey, A., “Dynamic modelling of parallel robots for computed-torque control implementation,” Int. J. Robot. Res. 17 (12), 1325–1336 (1998).CrossRefGoogle Scholar
25.Miller, K., “Experimental Verification of Modeling of Delta Robot Dynamics by Direct Application of Hamilton's Principle,” Proceedings of the IEEE International Conference on Robotics and Automation (ICRA), Nagoya, Japan (1995) pp. 532–537.Google Scholar
26.Choi, H., Konno, A. and Uchiyama, M., “Inverse Dynamic Analysis of a 4-DOF Parallel Robot H4,” Proceedings of the IEEE International Conference on Intelligent Robotic Systems (IROS), Sendai, Japan (2004) pp. 3501–3506.Google Scholar
27.Huang, T., Mei, J. P., Li, Z. X. and Zhao, X. M. “A method for estimating servomotor parameters of a parallel robot for rapid pick-and-place operations,” ASME J. Mech. Des. 127, 596–601 (2005).CrossRefGoogle Scholar