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Research Papers

A Novel Five-Degree-of-Freedom Parallel Manipulator and Its Kinematic Optimization

[+] Author and Article Information
Yimin Song

Key Laboratory of Mechanism Theory
and Equipment Design of Ministry of Education,
Tianjin University,
Tianjin 300072, China
e-mail: ymsong@tju.edu.cn

Binbin Lian

Key Laboratory of Mechanism Theory
and Equipment Design of Ministry of Education,
Tianjin University,
Tianjin 300072, China
e-mail: lianbinbin016@163.com

Tao Sun

Key Laboratory of Mechanism Theory
and Equipment Design of Ministry of Education,
Tianjin University,
Tianjin 300072, China
e-mail: stao@tju.edu.cn

Gang Dong

Key Laboratory of Mechanism Theory
and Equipment Design of Ministry of Education,
Tianjin University,
Tianjin 300072, China
e-mail: dg.579@163.com

Yang Qi

Key Laboratory of Mechanism Theory
and Equipment Design of Ministry of Education,
Tianjin University,
Tianjin 300072, China
e-mail: qiyang1900@163.com

Hao Gao

Key Laboratory of Mechanism Theory
and Equipment Design of Ministry of Education,
Tianjin University,
Tianjin 300072, China
e-mail: haooah3008@163.com

1Corresponding author.

Contributed by the Mechanisms and Robotics Committee of ASME for publication in the JOURNAL OF MECHANISMS AND ROBOTICS. Manuscript received July 7, 2013; final manuscript received May 16, 2014; published online June 12, 2014. Assoc. Editor: Xilun Ding.

J. Mechanisms Robotics 6(4), 041008 (Jun 12, 2014) (9 pages) Paper No: JMR-13-1128; doi: 10.1115/1.4027742 History: Received July 07, 2013; Revised May 16, 2014

Driven by requirements of five-axis numerical control (NC) machine for its executive mechanism, this paper creatively proposes a flow path to synthesize a novel class of n-degree-of-freedom (n-DoF, 4 ≤ n ≤ 6) parallel manipulators (PMs) resorting to four steps, and takes a patented 5-DoF PM, named T5, for example to demonstrate the flow path in depth. Comparing with existing five-axis executive mechanisms, this novel class of the PMs has some advantages of light end-effector, good static, dynamic performance, and so on. Upon the underlying architecture of T5, the kinematic analysis and optimal design are carried out for the first time, in which two essential procedures are involved, one is the kinematic performance index by means of the reciprocal product associated with the wrench screw and twist screw with specific physical meaning, the other is the design method adopted to perform the multi-objective dimensional synthesis using an artificial intelligence approach, that is nondominated sorting genetic algorithm II (NSGA-II). This paper is aimed at laying a solid theoretical and technical foundation for the prototype design and manufacture of T5 PM.

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References

Neumann, K. E., 2001, “System and Method for Controlling a Robot,” U.S. Patent No. 6,301,525.
Joachim, W., 2000, “Articulated Tool Head,” U.S. Patent No. 6,431,802.
Li, Q. C., Chen, Z., Chen, Q. H., Wu, C. Y., and Hu, X. D., 2011, “Parasitic Motion Comparison of 3-PRS Parallel Mechanism With Different Limb Arrangements,” Rob. Comput.-Integr. Manuf., 27(2), pp. 389–396. [CrossRef]
Sun, T., Song, Y. M., Dong, G., and Lian, B. B., 2014, “Five-Axis Machining Parallel Tool Head,” Chinese Patent No. ZL 201210094320.9.
Siciliano, B., 1999, “The Tricept Robot: Inverse Kinematics, Manipulability Analysis and Closed-Loop Direct Kinematics Algorithm,” Robotica, 17(4), pp. 437–445. [CrossRef]
Hosseini, M. A., Daniali, H. M., and Taghirad, H. D., 2011, “Dexterous Workspace Optimization of a Tricept Parallel Manipulator,” Adv. Rob., 25(13-14), pp. 1697–1712. [CrossRef]
Sun, T., Song, Y. M., Li, Y. G., and Zhang, J., 2010, “Workspace Decomposition Based Dimensional Synthesis of a Novel Hybrid Reconfigurable Robot,” ASME J. Mech. Rob., 2(3), p. 031009. [CrossRef]
Liu, H. T., Chetwynd, D. G., and Huang, T., 2011, “An Approach for Acceleration Analysis of Lower Mobility Parallel Manipulators,” ASME J. Mech. Rob., 3(1), p. 011013. [CrossRef]
Li, Y. M., and Xu, Q. S., 2007, “Kinematic Analysis of a 3-PRS Parallel Manipulator,” Rob. Comput.-Integr. Manuf., 23(4), pp. 395–408. [CrossRef]
Sun, T., Song, Y. M., Li, Y. G., and Liu, L. S., 2010, “Dimensional Synthesis of a 3-DOF Parallel Manipulator Based on Dimensionally Homogeneous Jacobian Matrix,” Sci. China: Technol. Sci., 53(1), pp. 168–174. [CrossRef]
Wang, Y. Y., Chetwynd, D. G., Liu, H. T., and Huang, T., 2009, “Stiffness Modeling of the Tricept Robot Using the Overall Jacobian Matrix,” ASME J. Mech. Rob., 1(2), p. 021002. [CrossRef]
Paul, R. P., and Stevenson, C. N., 1983, “Kinematics of Robot Wrists,” Int. J. Rob. Res., 2(1), pp. 31–38. [CrossRef]
Yoshikawa, T., 1985, “Manipulability of Robotic Mechanism,” Int. J. Rob. Res., 4(2), pp. 3–9. [CrossRef]
Gosselin, C. M., and Angeles, J., 1991, “A Global Performance Index for the Kinematic Optimization of Robotic Manipulators,” ASME J. Mech. Des., 113(3), pp. 220–226. [CrossRef]
Gauthier, J. F., Angles, J., Nokleby, S. B., and Morozov, A., 2008, “The Kinetostatic Conditioning of Two-Limb Schönflies Motion Generators,” ASME J. Mech. Rob., 1(1), p. 011010. [CrossRef]
Liu, H. T., Huang, T., Zhao, X. M., Mei, J. P., and Chetwynd, D. G., 2007, “Optimal Design of the Trivariant Robot to Achieve a Nearly Axial Symmetry of Kinematic Performance,” Mech. Mach. Theory, 42(12), pp. 1643–1652. [CrossRef]
Lipkin, H., and Duffy, J., 1988, “Hybrid Twist and Wrench Control for a Robotic Manipulator,” ASME J. Mech. Des., 110(6), pp. 138–144. [CrossRef]
Doty, K. L., Melchiorri, C., Schwartz, E. M., and Bonivento, C., 1995, “Robot Manipulability,” IEEE Trans. Rob. Autom., 11(3), pp. 462–468. [CrossRef]
Ma, O., and Angeles, J., 1991, “Optimum Architecture Design of Platform Manipulators,” 5th International Conference of Advanced Robot, Robots in Unstructured Environments(91 ICAR), Pisa, Italy, June 19–22, Vol. 2, pp. 1130–1135. [CrossRef]
Angeles, J., 2006, “Is There a Characteristic Length of a Rigid-Body Displacement,” Mech. Mach. Theory, 41(8), pp. 884–896. [CrossRef]
Khan, W. A., and Angeles, J., 2006, “The Kinetostatic Optimization of Robotic Manipulators: The Inverse and the Direct Problems,” ASME J. Mech. Des., 128(1), pp. 168–178. [CrossRef]
Pond, G., and Carretero, J. A., 2006, “Formulating Jacobian Matrices for the Dexterity Analysis of Parallel Manipulators,” Mech. Mach. Theory, 41(12), pp. 1505–1519. [CrossRef]
Pond, G., and Carretero, J. A., 2007, “Quantitative Dexterous Workspace Comparison of Parallel Manipulators,” Mech. Mach. Theory, 42(10), pp. 1388–1400. [CrossRef]
Ball, R. S., 1990, A Treatise on the Theory of Screws, Cambridge University Press, New York.
Tsai, M. J., and Lee, H. W., 1994, “Generalized Evaluation for the Transmission Performance of Mechanisms,” Mech. Mach. Theory, 29(4), pp. 607–618. [CrossRef]
Xie, F. G., Liu, X. J., and Wang, J. S., 2012, “A 3-DOF Parallel Manufacturing Module and Its Kinematic Optimization,” Rob. Comput.-Integr. Manuf., 28(3), pp. 334–343. [CrossRef]
Wang, J. S., Wu, C., Liu, and X. J., 2010, “Performance Evaluation of Parallel Manipulators: Motion/Force Transmissibility and Its Index,” Mech. Mach. Theory, 45(10), pp. 1462–1476. [CrossRef]
Krishnamurty, S., and Turcic, D. A., 1992, “Optimal Synthesis of Mechanisms Using Nonlinear Goal Programming Techniques,” Mech. Mach. Theory, 27(5), pp. 599–612. [CrossRef]
Cabrera, J. A., Simon, A., and Prado, M., “Optimal Synthesis of Mechanisms With Genetic Algorithms,” Mech. Mach. Theory, 37(10), pp. 1165–1177. [CrossRef]
Stock, M., and Miller, K., 2003, “Optimal Kinematic Design of Spatial Parallel Manipulators: Application to Linear Delta Robot,” ASME J. Mech. Des., 125(2), pp. 292–301. [CrossRef]
Huang, T., Li, M., Zhao, X. M., Mei, J. P., Chetwynd, D. G., and Hu, S. J., 2005, “Conceptual Design and Dimensional Synthesis for a 3-DOF Module of Trivariant-A Novel 5-DOF Reconfigurable Hybrid Robot,” IEEE Trans. Rob., 21(3), pp. 449–456. [CrossRef]
Hao, F., and Merlet, J. P., 2005, “Multi-Criteria Optimal Design of Parallel Manipulators Based on Interval Analysis,” Mech. Mach. Theory, 40(2), pp. 157–171. [CrossRef]
Haulin, E. N., and Vinet, R., 2003, “Multiobjective Optimization of Hand Prosthesis Mechanisms,” Mech. Mach. Theory, 38(1), pp. 3–26. [CrossRef]
Cabrera, J. A., Nadal, F., and Munoz, J. P., 2007, “Multiobjective Constrained Optimal Synthesis of Planar Mechanisms Using a New Evolutionary Algorithm,” Mech. Mach. Theory, 42(7), pp. 791–806. [CrossRef]
Gao, Z., Zhang, D., and Ge, Y. J., 2010, “Design Optimization of a Spatial Six Degree-of-Freedom Parallel Manipulator Based on Artificial Intelligence Approaches,” Rob. Comput.-Integr. Manuf., 26(2), pp. 180–189. [CrossRef]
Deb, K., Agarwal, S., and Meyarivan, T., 2002, “A Fast and Elitist Multiobjective Genetic Algorithm: NSGA-II,” IEEE Trans. Evol. Comput., 6(2), pp. 182–197. [CrossRef]
Huang, T., Liu, H. T., and Chetwynd, D. G., 2011, “Generalized Jacobian Analysis of Lower Mobility Manipulators,” Mech. Mach. Theory, 46(6), pp. 833–841. [CrossRef]

Figures

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Fig. 1

The topology synthesis flow of T5 PM

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Fig. 2

Topology graph of T5 PM

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Fig. 3

Virtual prototype of T5 PM

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Fig. 4

Schematic diagram of T5 PM

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Fig. 5

Description of fixed base in a plane

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Fig. 6

Description of platform I in a plane

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Fig. 7

Schematic diagram of MTM

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Fig. 8

The procedure of NSGA-II

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Fig. 9

Distribution of ν in the prescribed workspace (x = Rxy cos φ, y = Rxy sinφ)

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Fig. 10

Relationship between κ and σ

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