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A simple and visually orientated approach for type synthesis of overconstrained 1T2R parallel mechanisms

  • Tian Huang (a1) (a2), Chenglin Dong (a1), Haitao Liu (a1), Tao Sun (a1) and Derek G. Chetwynd (a2)...

This paper presents a simple and highly visual approach for the type synthesis of a family of overconstrained parallel mechanisms that have one translational and two rotational movement capabilities. It considers, especially, mechanisms offering the accuracy and dynamic response needed for machining applications. This family features a spatial limb plus a member of a class of planar symmetrical linkages, the latter connected by a revolute joint either to the machine frame at its base link or to the platform at its output link. Criteria for selecting suitable structures from among numerous candidates are proposed by considering the realistic practical requirements for reconfigurability, movement capability, rational component design and so on. It concludes that a few can simultaneously fulfil the proposed criteria, even though a variety of structures have been presented in the literature. Exploitation of the proposed structures and evaluation criteria then leads to a novel five degrees of freedom hybrid module named TriMule. A significant potential advantage of the TriMule over the Tricept arises because all the joints connecting the base link and the machine frame can be integrated into one single, compact part, leading to a lightweight, cost effective and flexible design particularly suitable for configuring various robotized manufacturing cells.

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1. Uriarte, L., Zatarain, M., Axinte, D., Yagüe-Fabra, J., Ihlenfeldt, S., Eguia, J. and Olarra, A., “Machine tools for large parts,” CIRP Annals 62 (2), 731750 (2013).
2. Weck, M. and Staimer, D., “Parallel kinematic machines tools – current state and future potentials,” CIRP Annals 51 (2), 671674 (2002).
3. Merlet, J.-P., Gosselin, C. and Huang, T., “Parallel Mechanism,” In: Springer Handbook of Robotics (Springer Verlag, Berlin, Heidelberg, 2015) pp. 441459.
4. Neumann, K. E., “The Key to Aerospace Automation,” Proceedings of the SAE Aerospace Manufacturing and Automated Fastening Conference and Exhibition, Detroit, USA (2006), Paper no. 2006-01-3144.
5. Hao, G. B. and He, X., “Designing a monolithic tip-tilt-piston flexure manipulator,” Arch. Civil Mech. Eng. 17 (4), 871879 (2017).
6. Hao, G. B., “Determinate synthesis of symmetrical, monolithic tip-tilt-piston flexure stages,” J. Mech. Des. 139 (4), (2017).
7. Hao, G. B. and Kong, X. W., “A structure design method for compliant parallel manipulators with actuation isolation,” Mech. Sci. 7 (2), (2016).
8. Dai, J. S., Huang, Z. and Lipkin, H., “Mobility of overconstrained parallel mechanisms,” ASME J. Mech. Robot. 128 (1), 220229 (2006).
9. Huang, Z. and Li, Q. C., “General methodology for type synthesis of symmetrical lower-mobility parallel manipulators and several novel manipulators,” Int. J. Robot. Res. 21 (2), 131145 (2002).
10. Fang, Y. and Tsai, L.-W., “Structure synthesis of a class of 4-DoF and 5-DoF parallel manipulators with identical limb structures,” Int. J. Robot. Res. 21 (9), 799810 (2002).
11. Kong, X. and Gosselin, C., Type Synthesis of Parallel Mechanisms, vol. 33 (Springer Verlag, Berlin, Heidelberg, 2007).
12. Kong, X. W. and Gosselin, C. M., “Type synthesis of three-DOF UP-equivalent parallel manipulators using a virtual-chain approach,” In: Advances in Robot Kinematics. (Springer, Netherlands, 2006) pp. 123132.
13. Li, Q. and Hervé, J.-M., “Type synthesis of 3-DOF RPR-equivalent parallel mechanisms,” IEEE Trans. Robot. 30 (6), 13331343 (2014).
14. Li, Q. and Hervé, J.-M., “1T2R parallel mechanisms without parasitic motion,” IEEE Trans. Robot. 26 (3), 401410 (2010).
15. Huang, Z. and Li, Q., “Type synthesis of symmetrical lower-mobility parallel mechanisms using the constraint-synthesis method,” Int. J. Robot. Res. 22 (1), 5979 (2003).
16. Fang, Y. F. and Tsai, L. W., “Structure synthesis of a class of 3-DOF rotational parallel manipulators,” IEEE Trans. Robot. Autom., 20 (1), 117121 (2004).
17. Kong, X. W. and Gosselin, C. M., “Type synthesis of 3T1R 4-dof parallel manipulators based on screw theory,” IEEE Trans. Robot. Autom. 20 (2), 181190 (2004).
18. Hervé, J.-M., “The lie group of rigid body displacements, a fundamental tool for mechanism design,” Mech. Mach. Theory 34 (5), 719730 (1999).
19. Li, Q. C., Huang, Z. and Hervé, J. M., “Type synthesis of 3R2 T 5-dof parallel mechanisms using the Lie group of displacements,” IEEE Trans. Robot. Autom. 20 (2), 173180 (2004).
20. Meng, J., Liu, G. F. and Li, Z. X., “A geometric theory for synthesis and analysis of sub 6-DOF parallel manipulators,” IEEE Trans. Robot. 23 (4), 625649 2007.
21. Xie, F., Liu, X. J. and Li, T., “Type synthesis and typical application of 1T2R-type parallel robotic mechanisms,” Math. Probl. Eng., 9, 497504 (2013).
22. Hopkins, J. B. and Culpepper, M. L., “Synthesis of multi-degree of freedom, parallel flexure system concepts via Freedom and Constraint Topology (FACT) – part I: Principles,” Precis. Eng. 34 (2), 259270 (2010).
23. Hopkins, J. B. and Culpepper, M. L., “Synthesis of multi-degree of freedom, parallel flexure system concepts via freedom and constraint topology (FACT). Part II: Practice,” Precis. Eng. 34 (2), 271278 (2010).
24. Li, H. Y. and Hao, G., “A constraint and position identification (CPI) approach for the synthesis of decoupled spatial translational compliant parallel manipulators,” Mech. Mach. Theory 90, 5983 (2015).
25. Gogu, G., “Structural synthesis of fully-isotropic parallel robots with Schönflies motions via theory of linear transformations and evolutionary morphology,” Eur. J. Mech. A: Solids 26 (2), 242269 (2007).
26. Jin, Q. and Yang, T. L., “Theory for topology synthesis of parallel manipulators and its application to three-dimension-translation parallel manipulators,” J. Mech. Des. 126 (1), 625639 (2004).
27. Yang, T. L., Liu, A. X., Jin, Q., Luo, Y. F., Shen, H. P. and Hang, L. B., “Position and orientation characteristic equation for topological design of robot mechanisms,” ASME J. Mech. Des. 131 (2), 021001 (2009).
28. Gao, F., Zhang, Y. and Li, W., “Type synthesis of 3-dof reducible translational mechanisms,” Robotica 23 (2), 239245 (2005).
29. Dong, C., Liu, H., Liu, Q., Sun, T., Huang, T., and Chetwynd, D. G., “An approach for type synthesis of overconstrained 1T2R parallel mechanisms,” Mechanisms and Machine Science, Computational Kinematics: Proceedings of the 7th International Workshop on Computational Kinematics 50, 274–281 (2018).
30. Tsai, L.-W., Robot Analysis: The Mechanics of Serial and Parallel Manipulators (John Wiley & Sons, New York, 1999).
31. Artobolevskii, I. I., Theorie des Mecanismes et Machines (MIR, Moscow, 1977).
32. Huang, T., Yang, S., Wang, M., Sun, T. and Chetwynd, D.-G., “An approach to determining the unknown twist/wrench subspaces of lower mobility serial kinematic chains,” ASME J. Mech. Robot. 7 (3), 031003 (2015).
33. Huang, T., Dong, C., Liu, H., Qin, X., Mei, J., Liu, Q. and Wang, M., “Five-degree-of-freedom parallel robot with multi-shaft rotary brackets,” Pub. No.: WO/2017/005015 (2017).
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