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Optimal Design of a New Parallel Kinematic Machine for Large Volume Machining

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Advances in Reconfigurable Mechanisms and Robots I

Abstract

Although numerous PKM topologies have been invented recently, few of them have been successfully put into production. A good topology can only provide good performance unless its geometrical parameters are optimized. This paper studies the dimensional synthesis of a new PKM which has shown great potential for large volume high performance manufacturing. A new optimization approach is proposed for design optimization, with a new performance index composed of weight factors of both Global Conditioning Index (GCI) and actuator stroke. Maximizing GCI will ensure the effectiveness of the workspace, while minimizing actuator stroke leads to reduced machine cost and increased efficiency. Results show that the proposed optimization method is valid and effective. The PKM with optimized dimensions has a large workspace to footprint ratio and a large well-conditioned workspace, which ensures its suitability for large volume machining.

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References

  1. Summers M (2005) Robot capability test and development of industrial robot positioning system for the aerospace industry. In: SAE aerospace manufacturing and automated fastening conference, Dallas, pp 2005–01–3336, Oct 2005

    Google Scholar 

  2. Weck M, Staimer D (2002) Parallel kinematic machine tools—current state and future potentials. CIRP Ann Manuf Technol 51(2):671–683

    Article  Google Scholar 

  3. Rehsteiner F, Neugebauer R, Spiewak S, Wieland F (1999) Putting parallel kinematics machines (pkm) to productive work. CIRP Ann Manuf Technol 48(1):345–350

    Article  Google Scholar 

  4. Neumann K (1988) Robot. US patent, US4732525

    Google Scholar 

  5. Tonshoff H (1998) A systematic comparison of parallel kinematics. In: First European–American forum on parallel kinematic machines, Milan, Italy

    Google Scholar 

  6. Neumann K (2006) The key to aerospace automation. In: SAE aerospace manufacturing and automated fastening conference and exhibition, Detroit, pp 2006–01–3144

    Google Scholar 

  7. Bi Z, Jin Y (2011) Kinematic modeling of exechon parallel kinematic machine. Robotics Comput Integr Manuf 27:186–193

    Article  Google Scholar 

  8. Eastwood S (2004) Error mapping and analysis for hybrid parallel kinematic machines. PhD thesis, Unversity of Nottingham, Nottingham

    Google Scholar 

  9. Liu H, Huang T, Zhao X, Mei J, Chetwynd D (2007) Optimal design of the trivariant robot to achieve a nearly axial symmetry of kinematic performance. Mech Mach Theory 42(12):1643–1652

    Article  MATH  Google Scholar 

  10. Jin Y, Bi Z, Gibson R, McToal P, Morgan M, McClory C, Higgins C (2011) Kinematic analysis of a new over-constrained parallel kinematic machine. In: Proceedings of the 13th world congress in mechanism and machine science, Guanajuato, Mexico, pp A7–282, 19–25 June

    Google Scholar 

  11. Gosselin C, Angeles J (1991) A global performance index for the kinematic optimization of robotic manipulators. ASME J Mech Des 113:220–226

    Article  Google Scholar 

  12. Liu X, Wang J (2007) A new methodology for optimal kinematic design of parallel mechanisms. Mech Mach Theory 42:1210–1224

    Article  MATH  Google Scholar 

  13. Monsarrat B, Gosselin C (2003) Workspace analysis and optimal design of a 3-leg 6-dof parallel platform mechanism. IEEE Trans Robotics Autom 19(6):954–966

    Article  Google Scholar 

  14. Castelli G, Ottaviano E, Ceccarelli M (2008) A fairly general algorithm to evaluate workspace characteristics of serial and parallel mnipulators. Mech Based Des Struct Mach 36:14–33

    Article  Google Scholar 

  15. Li Y, Xu Q (2006) A new approach to the architecture optimization of a general 3-puu translational parallel manipulator. J Intell Robotic Syst 46(1):59–72

    Article  Google Scholar 

  16. Chablat D, Wenger P (2003) Architecture optimization of a 3-dof translational parallel mechanism for machining applications, the orthoglide. IEEE Trans Robotics Autom 19(3):403–410

    Article  Google Scholar 

  17. Jin Y, Chen I, Yang G (2006) Kinematic design of a 6-dof parallel manipulator with decoupled translation and rotation. IEEE Trans Robotics 22(3):545–551

    Article  Google Scholar 

  18. Carbone G, Ottaviano E, Ceccarelli M (2007) An optimum design procedure for both serial and parallel manipulators. Proc IMechE Part C J Mech Eng Sci 221:829–843

    Article  Google Scholar 

  19. Lou Y, Liu G, Li Z (2008) Randomized optimal design of parallel manipulators. IEEE Trans Autom Sci Eng 5(2):223–233

    Article  Google Scholar 

  20. Pierrot F, Nabat V, Krut S, Poignet P (2009) Optimal design of a 4-dof parallel manipulator: from academia to industry. IEEE Trans Robotics 25(2):213–224

    Article  Google Scholar 

  21. Merlet J (2006) Jacobian, manipulability, condition number, and accuracy of parallel robots. ASME J Mech Des 128(1):199–206

    Article  Google Scholar 

  22. Cardou P, Bouchard S, Gosselin C (2010) Kinematic-sensitivity indices for dimensionally nonhomogeneous jacobian matrices. IEEE Trans Robotics 26(1):166–173

    Article  Google Scholar 

  23. Liu X, Gao F (2000) Optimum design of 3-dof spherical parallel manipulators with respect to the conditioning and stiffness indices. Mech Mach Theory 35:1257–1267

    Article  Google Scholar 

  24. Huang T, Li M, Zhao X, Mei J, Whitehouse D, Hu S (2005) Conceptual design and dimensional synthesis for a 3-dof module of the trivariant-a novel 5-dof reconfigurable hybrid robot. IEEE Trans Robotics Autom 21(3):449–456

    Article  Google Scholar 

  25. Ottaviano E, Ceccarelli M (2002) Optimal design of capaman (cassino parallel manipulator) with a spefied orientation workspace. Robotica 20:159–166

    Article  Google Scholar 

  26. Altuzarra O, Pinto C, Sandru B, Hernandez A (2011) Optimal dimensioning for parallel manipulators: workspace, dexterity, and energy. ASME J Mech Des 133:041007–041017

    Article  Google Scholar 

  27. Zoppi M, Zlatanov D, Molfino R (2010) Kinematic analysis of the exechon tripod. In: ASME 2010 international design engineering technical conference & computers and information in engineering conference, Montreal, Quebec, Canada, pp 1–8

    Google Scholar 

  28. Tandirci M, Angeles J, Ranjbaran F (1992) The characteristic point and the characteristic length of robotic manipulators. In: Proceedings of ASME 22nd biennial conference on robotics, spatial mechanisms, and mechanical systems, Scottsdale, pp 203–208, 13–16 Sept

    Google Scholar 

  29. Stocco L, Sacudean S, Sassani F (1999) On the use of scaling matrices for task-specific robot design. IEEE Trans Robotics Autom 15(5):958–965

    Article  Google Scholar 

  30. Liu H, Huang T, Chetwynd D (2011) A method to formulate a dimensionally homogeneous jacobian of parallel manipulators. IEEE Trans Robotics 27(1):150–156

    Article  Google Scholar 

  31. Huang T, Liu H, Chetwynd D (2011) Generalized jacobian analysis of lower mobility manipulators. Mech Mach Theory 46(6):831–844

    Article  MATH  Google Scholar 

  32. Chanal H, Duc E, Ray P (2006) A study of the impact of machine tool structure on machining processes. Int J Mach Tools Manuf 46(2):98–106

    Article  Google Scholar 

  33. Rao S (1996) Engineering optimization: theory and practice, 3rd edn. Wiley, New York

    Google Scholar 

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Acknowledgments

The authors gratefully acknowledge the help from the team members and industrial partners of the PKAAA project. Funding support from Investment Northern Ireland is acknowledged. Funding support from Royal Academy of Engineering Research Exchange is also acknowledged.

Author information

Authors and Affiliations

  1. Queen’s University, Belfast, BT9 5AH, UK

    Yan Jin, Colm Higgins & Mark Price

  2. Indiana University Purdue University, Fort Wayne, IN, 46805, USA

    Zhuming Bi

  3. Beihang University, Beijing, 100191, China

    Weihai Chen

  4. Tianjin University, Tianjin, 300072, China

    Tian Huang

Authors
  1. Yan Jin
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  2. Zhuming Bi
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  3. Colm Higgins
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  4. Mark Price
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  5. Weihai Chen
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  6. Tian Huang
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Corresponding author

Correspondence to Yan Jin .

Editor information

Editors and Affiliations

  1. King's College London, Western Road 17, Sutton, SM1 2TE, United Kingdom

    Jian S Dai

  2. University of Genova, Via Opera Pia 15A, Genova, Italy

    Matteo Zoppi

  3. , School of Engineering and, Heriot-Watt University, Edinburgh, EH14 4AS, United Kingdom

    Xianwen Kong

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© 2012 Springer-Verlag London

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Jin, Y., Bi, Z., Higgins, C., Price, M., Chen, W., Huang, T. (2012). Optimal Design of a New Parallel Kinematic Machine for Large Volume Machining. 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_31

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  • DOI: https://doi.org/10.1007/978-1-4471-4141-9_31

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  • Publisher Name: Springer, London

  • Print ISBN: 978-1-4471-4140-2

  • Online ISBN: 978-1-4471-4141-9

  • eBook Packages: EngineeringEngineering (R0)

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