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Type Synthesis of Planar Parallel Mechanism Incorporating Actuated Limb with Zero/One Constraint with Set Conception

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Advances in Reconfigurable Mechanisms and Robots I
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Abstract

This paper presents a method of type synthesis for planar parallel mechanisms (PPMs) incorporating actuated limbs with zero/one constraint with set conception. Firstly, according to their contributions to the moving platform, the limbs of PPMs can be classified as four categories: actuated limb with zero constraint, fully-constrained limb with zero actuator, fully-constrained limb with one actuator and under-constrained limb with one actuator. Followed by the descriptions of actuated space and constrained space for the end of the limbs by virtue of the screw theory, the type syntheses of the four type limbs are carried out. Then different sets and functions are defined respectively, whose elements and variables are the topologies of four type limbs. The different function values and the composition principle of PPMs lead to existence of PPMs topologies by four solutions. Finally, taking three typical PPMs with linear motors for examples, their virtual prototypes are obtained with commercial 3-dimensional CAD software.

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References

  1. Dasgupta B, Mruthyunjaya TS (2000) The stewart platform manipulator: a review. Mech Mach Theory 35:15–40

    Article  MathSciNet  MATH  Google Scholar 

  2. Wen F, Liang CG (1994) Displacement analysis of the 6-6 Stewart platform mechanisms. Mech Mach Theory 29:547–557

    Article  Google Scholar 

  3. Shen HP, Yang TL, Ma LZ (2005) Synthesis and structure analysis of kinematic structure of 6-DOF parallel robotic mechanisms. Mech Mach Theory 40:1164–1180

    Article  MATH  Google Scholar 

  4. Yao R, Tang XQ, Li TM et al (2010) Error analysis and distribution of 6-SPS and 6-PSS reconfigurable parallel manipulators. Tsinghua Sci Technol 15:547–554

    Article  Google Scholar 

  5. Li QC, Hervé JM (2010) 1T2R parallel mechanism without parasitic motion. IEEE T Robotics 26:401–410

    Article  Google Scholar 

  6. Gogu G (2007) Structural synthesis of fully-isotropic parallel robots with Schönflies motions via theory of linear transformations and evolutionary morphology. Eur J Mech 26:242–269

    Article  MathSciNet  MATH  Google Scholar 

  7. Huang Z, Li Q-C (2003) Type synthesis of symmetrical lower-mobility parallel mechanisms using the constraint-synthesis method. Int J Robotics Res 22:59–79

    Google Scholar 

  8. Kong XW, Gosselin CM, Richard PL (2007) Type synthesis of parallel mechanism with multiple operation modes. J Mech Des 129:595–601

    Article  Google Scholar 

  9. Liu XJ, Wang JS, Wu C et al (2009) A new family of spatial 3-DOF parallel manipulators with two translational and one rotational DOFs. Robotica 27:241–247

    Article  Google Scholar 

  10. Jin Q, Yang TL (2004) Theory for topology synthesis of parallel manipulators and its application to three-dimension-translation parallel manipulators. J Mech Des 126:625–640

    Article  Google Scholar 

  11. Gao F, Zhang Y, Li WM (2005) Type synthesis of 3-DOF reducible translational mechanisms. Robotica 23:239–245

    Article  Google Scholar 

  12. Dai JS, Wang D (2007) Geometric analysis and synthesis of the metamorphic robotic hand. J Mech Eng 129:1191–1197

    Google Scholar 

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Acknowledgments

The authors of this paper wish to acknowledge the financial support received from the National Natural Science Foundation of China (Grant No. 51075295) and the Tianjin Research Program of Application Foundation and Advanced Technology (Grant No. 11JCZDJC22700).

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Correspondence to Yimin Song .

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© 2012 Springer-Verlag London

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Dong, G., Song, Y., Sun, T. (2012). Type Synthesis of Planar Parallel Mechanism Incorporating Actuated Limb with Zero/One Constraint with Set Conception. In: Dai, J., Zoppi, M., Kong, X. (eds) Advances in Reconfigurable Mechanisms and Robots I. Springer, London. https://doi.org/10.1007/978-1-4471-4141-9_17

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  • DOI: https://doi.org/10.1007/978-1-4471-4141-9_17

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  • Publisher Name: Springer, London

  • Print ISBN: 978-1-4471-4140-2

  • Online ISBN: 978-1-4471-4141-9

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