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Optimised assembly mode reconfiguration of the 5-DOF Gantry-Tau using mixed-integer programming

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Abstract

This paper presents a systematic approach based on Mixed Integer Linear Programming for finding an optimal singularity-free reconfiguration path of the 5-DOF Gantry-Tau parallel kinematic machine. The results in the paper demonstrate that singularity-free reconfiguration (change of assembly mode) of the machine is possible, which significantly increases the usable workspace. The method has been applied to a full-scale prototype and the singularity-free path has been verified both in simulations and with physical experiments using real-time control of the prototype. The toolpoint positions have been verified by using measurements from a high precision laser tracker.

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References

  1. Majou F, Wenger P, Chablat D (2001) The design of parallel kinematic machine tools using kinetostatic performance criteria. In: Proc 3rd intl conf on metal cutting, Metz, France

    Google Scholar 

  2. Budde C, Last P, Hesselbach J (2005) Workspace enlargement of a triglide robot by changing working and assembly mode. In: Proc of IASTED intl conf on robotics and applications, Oct 2005, pp 244–248

    Google Scholar 

  3. Chablat D, Wenger P (1998) Working modes and aspects in fully parallel manipulators. In: Proc of the 1998 IEEE intl conf on robotics and automation, Leuven, Belgium, pp 1964–1969. doi:10.1109/ROBOT.1998.680601

    Google Scholar 

  4. Chablat D, Wenger P (2004) The kinematic analysis of a symmetrical three-degree-of-freedom planar parallel manipulator. In: Symp on robot design, dyn and control, Montreal

    Google Scholar 

  5. Zein M, Wenger P, Chablat D (2006) Singular curves and cusp points int the joint space of 3-RPR parallel manipulators. In: Proc of the 2006 IEEE intl conf on robotics and automation, Orlando, Florida, May 2006, pp 777–782. doi:10.1109/ROBOT.2006.1641804

    Chapter  Google Scholar 

  6. Clavel R (1990). Device for the movement and positioning of an element in space. US Patent No 4.976.582, 11 Dec 1990

  7. Murray M, Hovland G, Brogårdh T (2006) Collision-free workspace design of the 5-axis Gantry-Tau parallel kinematic machine. In: Proc of the 2006 IEEE/RSJ intl conf on intelligent robots and systems (IROS 2006), Beijing, Oct 2006, pp 2150–2155, doi:10.1109/IROS.2006.282497

    Google Scholar 

  8. Hovland G, Choux M, Murray M, Tyapin I, Brogårdh T (2008) The Gantry-Tau—summary of latest development at ABB, university of Agder and university of Queensland. In: 3rd Intl coll robotic systems for handling and assembly, the coll research centre SFB 562, Braunschweig

    Google Scholar 

  9. Schrijver A (1986) Theory of linear and integer programming. Wiley, New York

    MATH  Google Scholar 

  10. Bemporad A, Morari M (1999) Control of systems integrating logic, dynamics and constraints. Automatica 3(35):407–427. doi:10.1016/S0005-1098(98)00178-2

    Article  MathSciNet  Google Scholar 

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Correspondence to Geir Hovland.

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Murray, M., Hovland, G. & Brogårdh, T. Optimised assembly mode reconfiguration of the 5-DOF Gantry-Tau using mixed-integer programming. Meccanica 46, 101–111 (2011). https://doi.org/10.1007/s11012-010-9404-y

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  • DOI: https://doi.org/10.1007/s11012-010-9404-y

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