## “Kinematic and Elastostatic Design Optimisation of the 3-DOF Gantry-Tau Parallel Kinematic Manipulator”Authors: Ilya Tyapin and Geir Hovland,
Affiliation: University of Queensland and University of Agder
Reference: 2009, Vol 30, No 2, pp. 39-56. |

**Keywords:**parallel manipulator, statics, design optimisation

**Abstract:**One of the main advantages of the Gantry-Tau machine is a large accessible workspace/footprint ratio compared to many other parallel machines. The Gantry-Tau improves this ration further by allowing a change of assembly mode without internal link collisions or collisions between the links and end-effector. The reconfigurable Gantry-Tau kinematic design obtained by multi-objective optimisation according to this paper gives the following features: 3-D workspace/footprint ratio is more than 3.19, lowest Cartesian stiffness in the workspace is 5N/mu and no link collisions detected. The optimisation parameters are the support frame lengths, the actuator positions and the robot´s arm lengths. The results comparison between the evolutionary complex search algorithm and gradient-based method used for the Gantry-Tau design in the past is also presented in this paper. The detailed statics model analysis of the Gantry-Tau based on a functionally dependency is presented in this paper for the first time. Both the statics model and complex search algorithm may be applied for other 3-DOF Hexapods without major changes. The existing lab prototype of the Gantry-Tau was assembled and completed at the University of Agder, Norway.

PDF (2029 Kb) DOI: 10.4173/mic.2009.2.1

**DOI forward links to this article:**

[1] Alexandr Klimchik, Anatol Pashkevich, Damien Chablat and Geir Hovland (2013), doi:10.1016/j.rcim.2012.09.008 | |

[2] Alexandr Klimchik, Anatol Pashkevich and Damien Chablat (2013), doi:10.1016/j.finel.2013.06.008 | |

[3] Ilya Tyapin and Geir Hovland (2011), doi:10.1007/s11012-010-9394-9 | |

[4] Alexandr Klimchik, Damien Chablat and Anatol Pashkevich (2015), doi:10.1016/j.euromechsol.2014.12.010 | |

[5] Øyvind Magnussen, Morten Ottestad and Geir Hovland (2015), doi:10.4173/mic.2015.2.1 | |

[6] Alexandr Klimchik, Anatol Pashkevich, Stéphane Caro and Damien Chablat (2012), doi:10.1109/TRO.2012.2187395 | |

[7] A. Klimchik, A. Pashkevich and D. Chablat (2012), doi:10.1109/IROS.2012.6385513 | |

[8] Behrouz Afzali-Far, Per Lidstrom and Anders Robertsson (2016), doi:10.1109/ICRA.2016.7487216 | |

[9] Alaleh Arian, Behzad Danaei, Hamid Abdi and Saeid Nahavandi (2017), doi:10.1016/j.apm.2017.06.012 |

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**BibTeX:**

@article{MIC-2009-2-1,

title={{Kinematic and Elastostatic Design Optimisation of the 3-DOF Gantry-Tau Parallel Kinematic Manipulator}},

author={Tyapin, Ilya and Hovland, Geir},

journal={Modeling, Identification and Control},

volume={30},

number={2},

pages={39--56},

year={2009},

doi={10.4173/mic.2009.2.1},

publisher={Norwegian Society of Automatic Control}

};