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A novel planar parallel manipulator with high orientation capability for a hybrid machine tool: kinematics, dimensional synthesis and performance evaluation

Published online by Cambridge University Press:  20 November 2015

Samy F. M. Assal*
Affiliation:
Mechatronics and Robotics Engineering Department, School of Innovative Design Engineering, Egypt-Japan University of Science and Technology (E-JUST), New Porg-ElArab, 21934, Alexandria, Egypt On leave from Department of Production Engineering and Mechanical Design, Faculty of Engineering, Tanta University, Tanta, Egypt

Summary

In order to potentially realize the advantages of planar parallel manipulators to be used for hybrid machine tools, the inherently abundant singularities which diminish the usable workspace must be eliminated. Proper structure synthesis and dimensional synthesis can provide a good solution. So, a non-conventional architecture of a three-PPR planar parallel manipulator is proposed in this paper for a hybrid machine tool. The proposed architecture permits a large dexterous workspace with unlimited orientation capability and no singularities. It also provides partially decoupled motion which permits independent actuators control. The kinematic, singularity, orientation capability and workspace analyses of the proposed manipulator are studied to verify those advantages. Based on a non-dimensional design parameter space, the highly important indices for this application namely the workspace index (WI), the motion/force transmission index, the kinematic and dynamic dexterity indices and the stiffness index are selected to be maximized yielding proper dimensions of the design parameters. Those performance indices are proven to be uniform over all the workspace achieving highly important characteristics of uniform accuracy, acceleration characteristics, rigidity and force transmissibility. Performance evaluation is finally presented to verify the high performance of the proposed non-singular planar parallel manipulator with high orientation capability.

Type
Articles
Copyright
Copyright © Cambridge University Press 2015 

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References

1. Wang, J. and Tang, X., “Analysis and dimensional design of a novel hybrid machine tool,” Int. J. Mach. Tools Manuf. 43, 674–655 (2003).Google Scholar
2. Bonev, I. A., Zlatanov, D. and Gosselin, C. M., “Singularity analysis of 3-DOF planar parallel mechanisms via screw theory,” ASME J. Mech. Des. 125 (3), 573581 (2003).CrossRefGoogle Scholar
3. Yu, A., Bonev, I. A. and Zombor-Murray, P., “New XY-Theta Positioning Table with Partially Decoupled Parallel Kinematics,” Proceedings of International Symposium on Industrial Electronics, Montreal, Canada, (Jul. 9–12, 2006) pp. 3108–3112.CrossRefGoogle Scholar
4. Ronchi, S., Company, O., Pierrot, F. and Fournier, A., “PRP Planar Parallel Mechanism in Configurations Improving Displacement Resolution,” Proceedings of the 1st International Conference on Positioning Technology, Hamamatsu, Japan, (Jun. 9–11, 2004) pp. 279–284.Google Scholar
5. Scheidegger, A. and Liechti, R., “Positioning Device,” US Patent No. 6622586, Filed on Dec. 21, 2001, Issued on Sept. 23, 2003 (2003).Google Scholar
6. Bonev, I., “Planar Parallel Mechanism and Method,” US Patent No. 7707907 B2, Filed on Nov. 17, 2006, Issued on May. 7, 2010 (2010).Google Scholar
7. Liu, X. J., Wang, Q. M. and Wang, J., “Kinematics, dynamics and dimensional synthesis of a novel 2-DOF translational manipulator,” J. Int. Robot. Syst. 41 (4), 205224 (2005).Google Scholar
8. Darvekar, S., Rao, A. B. K., Ganesh, S. S. and Ramji, K., “Optimal design and development of a 2-DOF PKM-based machine tool,” Int. J. Adv. Manuf. Technol. 67, 16091621 (2013).Google Scholar
9. Wu, J., Wang, D. and Wang, L., “A control strategy of a 2-DOF heavy duty parallel manipulator,” J. Dyn. Syst. Meas. Control 137 (6), 061007-1-061007-10 (2015).Google Scholar
10. Wu, J., Chen, X., Wang, L. and Liu, X., “Dynamic load-carrying capacity of a novel redundantly actuated parallel conveyor,” Nonlinear Dyn. 78 (1), 241250 (2014).Google Scholar
11. Wu, J., Chen, X., Li, T. and Wang, L., “Optimal design of a 2-DOF parallel manipulator with actuation redundancy considering kinematics and natural frequency,” Robot. Comp.-Integr. Manuf. 29, 8085 (2013).Google Scholar
12. Wu, J., Wang, J., Wang, L. and Li, T., “Dynamic and control of a planar 3-DOF parallel manipulator with actuation redundancy,” Mech. Mach Theory 44, 835849 (2009).CrossRefGoogle Scholar
13. Wu, J., Li, T., Wang, J. and Wang, L., “Performance analysis and comparison of planar 3-DOF parallel manipulators with one and two additional branches,” J. Intell. Robot. Syst. 72 (1), 7382 (2013).Google Scholar
14. Wu, J., Li, T., Wang, J. and Wang, L., “Stiffness and natural frequency of a 3-DOF parallel manipulator with consideration of additional leg candidates,” Robot. Auton. Syst. 61 (8), 868875 (2013).Google Scholar
15. Son, S., Kim, T., Sarma, S. E. and Slocum, A., “A hybrid 5-axis CNC milling machine,” Precis. Eng. 33, 430446 (2009).CrossRefGoogle Scholar
16. Gosselin, C., “The optimum design of robotic manipulators using dexterity indices,” Robot. Auton. Syst. 9 (4), 213226 (1992).CrossRefGoogle Scholar
17. Dresner, T. L. and Buffinton, K. W., “Definition of pressure and transmission angles applicable to multi-input mechanisms,” ASME J. Mech. Des. 113, 459499 (1991).Google Scholar
18. Sutherland, G. and Roth, B., “A transmission index for spatial mechanisms,” ASME J. Eng. Ind. 95 (2), 589597 (1973).Google Scholar
19. Chen, C. and Angeles, J., “Generalized transmission index and transmission quality for spatial linkage,” Mech. Mach. Theory 42, 12251237 (2007).CrossRefGoogle Scholar
20. Wang, J., Wu, C. and Liu, X. J., “Performance evaluation of parallel manipulators: Motion/force transmissibility and its index,” Mech. Mach. Theory 45, 14621476 (2010).Google Scholar
21. liu, X. J., Jin, Z. L. and Gao, F., “Optimum design of 3-DOF spherical parallel manipulators with respect to the conditioning and the stiffness indices,” Mech. Mach. Theory 35, 12571267 (2000).Google Scholar
22. Kelaiaia, R., Company, O. and Zaatri, A., “Multi-objective optimization of a linear delta parallel robot,” Mech. Mach. Theory 50, 159178 (2012).Google Scholar
23. Liu, X. and Wang, J., “A new methodology for optimal kinematic design of parallel mechanisms,” Mech. Mach. Theory 42, 12101224 (2007).CrossRefGoogle Scholar
24. Zhu, Z. and Dou, R., “Optimum design of 2-DOF parallel manipulators with actuation redundancy,” Mechatronics 19, 761766 (2009).Google Scholar
25. Xie, F., Liu, X. and Wang, J., “A 3-DOF parallel manufacture module and its kinematic optimization,” Robot. Comput.-Integr. Manuf. 28, 334343 (2012).Google Scholar
26. Choi, K. B., “Kinematic analysis and optimal design of 3-PPR planar parallel manipulator,” KSME Int. J. 17 (4), 528537 (2003).Google Scholar
27. Wu, G., Bai, S., Kepler, J. A. and Caro, S., “Error modeling and experimental validation of a 3-PPR parallel manipulator with joint clearance,” ASME J. Mech. Robot. 4, 041008-1–041008-12 (2012).Google Scholar
28. Seo, T. W., In, W. and Kim, J., “A new planar 3-DOF parallel mechanism with continuous 360-degree rotational capability,” J. Mech. Sci. Technol. 23, 30883094 (2009).Google Scholar
29. Wenger, P. and Chablat, D., “Workspace and Assembly Modes in Fully-Parallel Manipulators: A Descriptive Study,” Proceedings of the 6th International Symposium on Advances in Robot Kinematics, Salzburg, Austria, (1998) pp. 117–126.Google Scholar
30. Merlet, J. P., Gosselin, C. M. and Mouly, N., “Workspace of planar parallel manipulators,” Mech. Mach. Theory 33, 719 (1998).Google Scholar