Abstract
This paper deals with the kinematics of a novel 5 degrees of freedom (5-DoF) hybrid robot without singularity configurations, which is composed of a 4-DoF parallel robot plus an X table. The 4-limb parallel robot is especially designed as cross-arranged 2-PRU/2-PUS without singularity configurations during moving. Based on the Grassmann linear geometry principle, the residual degree of freedom singularity at the initial position of the 5-DoF robot is studied. Then considering the constraint screws of the parallel robot, the DoF of the hybrid robot is analyzed. On the basis of screw theory, the complete Jacobian matrix is established. And the theoretical model is verified by the numerical example. The complete Jacobian matrix is helpful for further analysis of the complete performance of the hybrid robot.
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References
Apro, K.: Secrets of 5-Axis Machining. Industrial Press Inc., New York (2008)
Patel, Y.D., George, P.M.: Parallel manipulators applications—a survey. Modern Mech. Eng. 2(03), 57–64 (2012)
Pandilov, Z., Dukovski, V.: Parallel kinematics machine tools: overview-from history to the future. Ann. Fac. Eng. Hunedoara 10(2), 111–124 (2012)
Gough, V.E.: Contribution to discussion of papers on research in automobile stability, control and tyre performance. Proc. Auto Div. Inst. Mech. Eng. 171, 392–395 (1957)
Schwaar, M., Jaehnert, T., Ihlenfeldt, S.: Mechatronic design, experimental property analysis and machining strategies for a 5-strut-PKM. In: 3rd Chemnitz Parallel Kinematics Seminar, vol. 23, no. 25.5 (2002)
Siciliano, B.: The Tricept robot: inverse kinematics, manipulability analysis and closed-loop direct kinematics algorithm. Robotica 17(4), 437–445 (1999)
Bi, Z.M., Jin, Y.: Kinematic modeling of Exechon parallel kinematic machine. Robot. Comput.-Integr. Manuf. 27(1), 186–193 (2011)
Huang, T., Li, M., Zhao, X.M., Mei, J.P., Chetwynd, D.G., Hu, S.J.: Conceptual design and dimensional synthesis for a 3-DOF module of the TriVariant-a novel 5-DOF reconfigurable hybrid robot. IEEE Trans. Rob. 21(3), 449–456 (2005)
Dong, C., Liu, H., Liu, Q., Sun, T., Huang, T., Chetwynd, D.G.: An approach for type synthesis of overconstrained 1T2R parallel mechanisms. In: Zeghloul, S., Romdhane, L., Laribi, M.A. (eds.) Computational Kinematics. MMS, vol. 50, pp. 274–281. Springer, Cham (2018). https://doi.org/10.1007/978-3-319-60867-9_31
Liu, X.J., Wang, L.P., Xie, F., Bonev, I.A.: Design of a three-axis articulated tool head with parallel kinematics achieving desired motion/force transmission characteristics. J. Manuf. Sci. Eng. 132(2), 021009 (2010)
Ni, Y., Zhang, B., Sun, Y., Zhang, Y.: Accuracy analysis and design of A3 parallel spindle head. Chin. J. Mech. Eng. 29(2), 239–249 (2016)
Kim, S.M., Kim, W., Yi, B.J.: Kinematic analysis and design of a new 3T1R 4-DOF parallel mechanism with rotational pitch motion. In: 2009 IEEE/RSJ International Conference on Intelligent Robots and Systems, pp. 5167–5172 (2009)
Xie, H., Li, S., Shen, Y.F., Cao, S.W., Cai, W.: Structural synthesis for a lower-mobility parallel kinematic machine with swivel hinges. Robot. Comput.-Integr. Manuf. 30(5), 413–420 (2014)
Huang, Z., Li, Q.C., Ding, H.F.: Theory of Parallel Mechanisms. Springer, London (2013)
Merlet, J.P.: Singular configurations of parallel manipulators and Grassmann geometry. Int. J. Robot. Res. 8(5), 45–56 (1989)
Acknowledgements
This work is supported by the National Natural Science Foundation of PR China (NSFC) (Grant no. 51875496), and Science and Technology Planning Project of Hebei Province, China (Grant no. 18961828D).
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Tian, X., Zhao, T., Li, E. (2019). A Novel 5-DOF Hybrid Robot Without Singularity Configurations. In: Yu, H., Liu, J., Liu, L., Ju, Z., Liu, Y., Zhou, D. (eds) Intelligent Robotics and Applications. ICIRA 2019. Lecture Notes in Computer Science(), vol 11742. Springer, Cham. https://doi.org/10.1007/978-3-030-27535-8_40
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DOI: https://doi.org/10.1007/978-3-030-27535-8_40
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