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A unified approach to type synthesis of both rigid and flexure parallel mechanisms

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Abstract

Type synthesis of both rigid and compliant parallel mechanisms has become a hot issue in the field of mechanisms and robotics research in recent years. A unified approach to type synthesis of the two classes of mechanisms, however, has not been referred and investigated up to date. Based on the state-of-art analysis for several major type synthesis approaches related to rigid and compliant mechanisms, respectively, it proves feasible to establish a unified methodology for type synthesis of these two classes of mechanisms. That is a synthesis philosophy in terms of the hierarchy mapping between mathematic, physical, and mechanical building blocks in the framework of screw theory, as addressed in this paper. The key point of the proposed method lies in establishing the mapping among three different building blocks (i.e. geometric building block, kinematic or constraint building block, and mechanical building block). As a result, it makes the whole type synthesis process simple and visible. By using the proposed method, two examples are taken to verify the effectiveness for the type synthesis of both rigid and flexure mechanisms. The content of this paper may provide a theoretical frame for constructing a visualized algorithm or software about the unified type synthesis (or conceptual design) of both rigid and flexure parallel mechanisms.

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References

  1. Yang T L, Liu A X, Luo Y F, et al. Comparison study on three approaches for type synthesis of robot mechanisms. Proceedings of the ASME 2009 International Design Engineering Technical Conferences, San Diego, California, USA, MECH-86107, 2009

  2. Herve J M. Analyses structurelle des mecanismes par groupe des replacements. Mech Mach Theory, 1978, 13: 437–450

    Article  Google Scholar 

  3. Angeles J. The qualitative synthesis of parallel manipulators. ASME J Mech Design, 2004, 126(3): 617–623

    Article  Google Scholar 

  4. Li Q C, Huang Z, Herve J. M. Type synthesis of 3R2T 5-DOF parallel mechanisms using the Lie group of displacements. IEEE Trans Rob Autom, 2004, 20: 173–180

    Article  MATH  Google Scholar 

  5. Li Q C, Huang Z, Hervé J M. Displacement manifold method for type synthesis of lower-mobility parallel mechanisms, Sci China Ser E-Eng & Mater Sci, 2004, 47(6): 641–650

    Article  Google Scholar 

  6. Rico J M, Cervantes-Sanchez J J, Tadeo-Chavez A, et al. A Comprehensive theory of type synthesis of fully parallel platforms. Proc of ASME 2006 International Design Engineering Technical Conferences & Computers and Information in Engineering Conference, 2006, DETC2006-99070

  7. Meng J, Liu G F, Li Z X. A geometric theory for synthesis and analysis of sub-6 DoF parallel manipulators. IEEE Trans Rob, 2007, 23(4): 625–649

    Article  Google Scholar 

  8. Jin Q, Yang T L. Structure synthesis of parallel manipulators with three-dimensional translation and one dimensional rotation. Proc of the ASME Design Engineering Technical Conference, Montreal, Canada, MECH-34307, 2002

  9. Jin Q, Yang T L. Theory for topology synthesis of parallel manipulators and its application to three-dimension-translation parallel manipulators. ASME J Mech Design, 2004, 126(4): 625–639

    Article  Google Scholar 

  10. Yang T L. Topology Structure Design of Robot Mechanisms (in Chinese). Beijing: China Machine Press, 2004

    Google Scholar 

  11. Huang Z, Li Q C. On the type synthesis of lower-mobility parallel manipulators. Proc of the workshop on Fundamental Issues and Future Research Directions for Parallel Mechanisms and Manipulators, Quebec, Canada, 2002. 272-283

  12. Huang Z, Li Q C. General methodology for the type synthesis of lower-mobility symmetrical parallel manipulators and several novel manipulators. Intl J Rob Res, 2002, 21(2): 131–145

    Article  Google Scholar 

  13. Huang Z, Li Q C. Type synthesis of symmetrical lower-mobility parallel mechanisms using the constraint synthesis method. Intl J Rob Res, 2003, 22(1): 59–79

    Google Scholar 

  14. Huang Z, Zhao Y S, Zhao T S. Advanced Spatial Mechanisms (in Chinese). Beijing: Higher Education Press, 2006

    Google Scholar 

  15. Kong X, Gosselin C M. Type Synthesis of Parallel Mechanisms, Heidelberg: Springer-Verlag, 2007

    MATH  Google Scholar 

  16. Fang Y F, Tsai LW. Structure synthesis of a class of 4-DoF and 5-DoF parallel manipulators with identical limb structures. Intl J Rob Res, 2002, 21(9): 799–810

    Article  Google Scholar 

  17. Ball R S. The Theory of Screws. Cambridge: Cambridge University Press, 1998

    MATH  Google Scholar 

  18. Murray R, Li Z X, Sastry S. A Mathematical Introduction to Robotic Manipulation. Boca Raton: CRC Press, 1994

    MATH  Google Scholar 

  19. Selig J M. Geometrical Methods in Robotics. Heidelberg: Springer-Verlag, 1996

    MATH  Google Scholar 

  20. Howell L L. Compliant Mechanisms. New York: Wiley Interscience, 2001

    Google Scholar 

  21. Frecker M I, Ananthasuresh G K, Nishiwaki S, et al. Topological synthesis of compliant mechanisms using multi-criteria optimization, ASME J Mech Design, 1997, 119(2): 238–245

    Article  Google Scholar 

  22. Hetrick J A, Kota S. An energy formulation for parametric size and shape optimization of compliant mechanisms. ASME J Mech Design, 1999, 121(2): 229–234

    Article  Google Scholar 

  23. Wang M Y, Chen S, Wang X, et al. Design of multimaterial compliant mechanisms using level-set methods. ASME J Mech Design, 2005, 127(5): 941–956

    Article  Google Scholar 

  24. Zhou H, Ting K-L. Topological synthesis of compliant mechanisms using spanning tree theory. ASME J Mech Design, 2005, 127(4): 753–759

    Article  Google Scholar 

  25. Maxwell J C, Niven W D. General considerations concerning scientific apparatus. New York: Courier Dover Publications, 1890

    Google Scholar 

  26. Blanding D L. Exact Constraint: Machine Design Using Kinematic Principle. New York: ASME Press, 1999

    Google Scholar 

  27. Hale L C. Principles and techniques for designing precision machines. Ph.D. Thesis. Cambridge MA: Massachusetts Institute of Technology, 1999

    Google Scholar 

  28. Hopkins J B. Design of parallel flexure system via freedom and constraint topologies (FACT). Master Thesis. Cambridge MA: Massachusetts Institute of Technology, 2007

    Google Scholar 

  29. Merlet J-P. Singular configurations of parallel manipulators and Grassmann geometry. Intl J Rob Res, 1989, 8(5): 45–56

    Article  Google Scholar 

  30. Li S Z, Yu J J, Pei X, et al. Type synthesis principle and practice of flexure systems in the framework of screw theory part, iii: Numerations and type synthesis of flexure mechanism, 2010 ASME International Design Engineering Conference, Aug. 15–18, 2010, Montreal, Canada. New York: ASME, DETC2010-28963, 2010

    Google Scholar 

  31. Yu J J, Liu X-J, Ding X L, et al. Geometric Foundation on Mechanisms and Robotics (in Chinese). Beijing: China Machine Press, 2008

    Google Scholar 

  32. Selig J M, Ding X L. A screw theory of static beams. IEEE/RSJ International Conference on Intelligent Robots and Systems, Hawaii, USA, 2001. 312–317

  33. Moon Y M, Trease B, Kota S. Design of large displacement compliant joints. Proceedings of DETC 2002, 27th Biannual Mechanisms and Robotics Conference, DETC2002/MECH-34207, 2002

  34. Liu X-J, Bonev I A. Orientation capability, error analysis, and dimensional optimization of two articulated tool heads with parallel kinematics. J Manuf Sci Eng -Trans ASME, 2008, 130(1): 011015

    Article  Google Scholar 

  35. Pham P. Design of hybrid-kinematic mechanisms for machine tools, Ph.D. Thesis. Lausanne: Ecole Polytechnique Fédérale de Lausanne, 2009

    Google Scholar 

  36. Chao D, Zong G, Liu R. Design of a 6-DOF compliant manipulator based on serial-parallel architecture. Proc of the 2005 IEEE/ASME International Conference on Advanced Intelligent Mechatronics, Monterey, California, USA, 2005.

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Authors and Affiliations

  1. Robotics Institute, Beihang University, Beijing, 100191, China

    JingJun Yu, ShouZhong Li, Xu Pei, ShuSheng Bi & GuangHua Zong

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  1. JingJun Yu
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  2. ShouZhong Li
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  3. Xu Pei
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  4. ShuSheng Bi
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  5. GuangHua Zong
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Correspondence to JingJun Yu.

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Yu, J., Li, S., Pei, X. et al. A unified approach to type synthesis of both rigid and flexure parallel mechanisms. Sci. China Technol. Sci. 54, 1206–1219 (2011). https://doi.org/10.1007/s11431-011-4324-1

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  • DOI: https://doi.org/10.1007/s11431-011-4324-1

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