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Kinematics and Singularity of a 4-DOF Parallel Mechanism with Passive Spherical Joints

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Mechanism and Machine Science (ASIAN MMS 2016, CCMMS 2016)

Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 408))

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Abstract

This paper presents a 4-DOF (3T1R: three-translational and one rotational degrees of freedom) parallel mechanism with passive spherical joints, which has better stiffness than the other ones with just prismatic and revolute joints. Firstly, structure description is given. And a complete study regarding motion characteristics is done by analytical method. Then the kinematics of the 4-DOF parallel manipulator, which includes inverse and forward solutions, is studied in detail by numerical method. The Jacobian matrix of the parallel manipulator is also derived. Based on the Jacobian matrix, singularity analysis of the parallel mechanism has been described clearly. All prismatic actuators of the 4-DOF parallel manipulator are parallel to each other, enables it to have an independent Z motion—only limited by the stroke of the prismatic actuators. So the parallel manipulator has the identical performance along the direction of the actuated linear slides. The 4-DOF parallel manipulator is characterized by elevated dynamical capabilities having its actuators at base.

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References

  1. Yi L, Shi Y, Huang Z, Jianping Y, Li S, Tian X (2009) Kinematics/ statics of a 4-DOF over-constrained parallel manipulator with 3 legs. Mech Mach Theory 44:1479–1506

    MATH  Google Scholar 

  2. Shayya S, Krut S, Company O, Baradat C, Pierrot F (2013) A Novel (3T-1R) redundant parallel mechanism with large operational workspace and rotational capability. In: 2013 IEEE/RSJ international conference on intelligent robots and systems (IROS), Tokyo, Japan, 3–7 Nov 2013

    Google Scholar 

  3. Kong X, Gosselin CM (2004) Type synthesis of 3T1R 4-DOF parallel manipulators based on screw theory. IEEE Trans Robot Autom 20(2):181–190

    Article  Google Scholar 

  4. Li QC, Huang Z (2003) Type synthesis of 4-DOF parallel manipulators. In: Proceedings of the 2003 IEEE international conference on robotics and automation, Taipei, Taiwan, Sept 2003, pp 755–560

    Google Scholar 

  5. Kim SM, Kim W, Yi B-J (2009) 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 (IROS), St. Louis, USA, 11–15 Oct 2009

    Google Scholar 

  6. Kong X (2016) Reconfiguration analysis of a 4-DOF 3-RER parallel manipulator with equilateral triangular base and moving platform. Mech Mach Theory 98:180–189

    Article  Google Scholar 

  7. Pierrot F, Company O (1999) H4: a new family of 4-dof parallel robots. In: Proceedings of the IEEE/ASME international conference on advanced intelligent mechatronics, Atlanta, USA, 1999, pp 508–513

    Google Scholar 

  8. Krut S, Company O, Benoit M, Ota H, Pierrot F (2003) I4: a new parallel mechanism for Scara motions. In: Proceedings of the 2003 international conference on robotics and automation, Taipei, Taiwan, Sept 2003, pp 1875–1880

    Google Scholar 

  9. Nabat V, Company O, Krut S, Rodriguez M, Pierrot F (2005) Par4: very high speed parallel robot for pick-and-place. In: Proceedings of the IEEE international conference on intelligent robots and systems (IROS’05), Edmonton, Alberta, Canada, Aug 2005

    Google Scholar 

  10. Pierrot F, Nabat V, Company O, Krut S (2008) From Par4 to Adept Quattro. In: Proceedings of the robotic systems for handling and assembly—3rd international colloquium of the collaborative research center SFB 562, Braunschweig, Germany, 2008

    Google Scholar 

  11. Guo S, Fang Y, Qu H (2012) Type synthesis of 4-DOF nonoverconstrained parallel mechanisms based on screw theory. Robotica 30:31–37

    Article  Google Scholar 

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Acknowledgments

This work is financially supported by the National Natural Science Foundation of China (51275243).

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Correspondence to Binbin Peng .

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Peng, B., Zhen, W., Wang, X., He, K., FU, S. (2017). Kinematics and Singularity of a 4-DOF Parallel Mechanism with Passive Spherical Joints. In: Zhang, X., Wang, N., Huang, Y. (eds) Mechanism and Machine Science . ASIAN MMS CCMMS 2016 2016. Lecture Notes in Electrical Engineering, vol 408. Springer, Singapore. https://doi.org/10.1007/978-981-10-2875-5_67

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  • DOI: https://doi.org/10.1007/978-981-10-2875-5_67

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-10-2874-8

  • Online ISBN: 978-981-10-2875-5

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