Contribution à la modélisation et à l' étalonnage élasto-géométriques des manipulateurs à structure parallèle

Dans le but d’ameliorer la precision de positionnement statique des manipulateurs a structure parallele, nous proposons pour ces structures un modele qui n’est plus uniquement geometrique, mais elasto-geometrique. Les parametres de ce modele sont identifies au cours d’une phase d’etalonnage dediee. Ces strategies de modelisation et d’etalonnage sont appliquees a une structure parallele Delta. La modelisation geometrique faisant intervenir 42 parametres, integre de possibles defauts de geometries des parallelogrammes. Le modele de deformation elastique propose est fonde sur une analyse de la rigidite des structures paralleles par elements finis qui, grâce a 6 parametres prealablement identifies, prend en compte la raideur des liaisons passives de la structure. Des validations experimentales montrent que l’identification des parametres de ce modele elasto-geometrique permet d’accroitre la precision de positionnement statique de la structure, et ce, quel qu’en soit son chargement.

[1]  Sébastien Krut,et al.  An improved method for the geometrical calibration of parallelogram-based parallel robots , 2006, Proceedings 2006 IEEE International Conference on Robotics and Automation, 2006. ICRA 2006..

[2]  Kiyoshi Takamasu,et al.  Artefact calibration of parallel mechanism, kinematic calibration with a priori knowledge , 2004 .

[3]  François Pierrot,et al.  A Method for Modeling Analytical Stiffness of a Lower Mobility Parallel Manipulator , 2005, Proceedings of the 2005 IEEE International Conference on Robotics and Automation.

[4]  Patrick Maurine,et al.  Self-calibration of delta parallel robots with elastic deformation compensation , 2005, 2005 IEEE/RSJ International Conference on Intelligent Robots and Systems.

[5]  Lining Sun,et al.  Conceptional Design and Kinematics Modeling of a Wide-Range Flexure Hinge-Based Parallel Manipulator , 2005, Proceedings of the 2005 IEEE International Conference on Robotics and Automation.

[6]  Dan Zhang,et al.  Global kinetostatic modelling of tripod-based parallel kinematic machine , 2004 .

[7]  Peter Vischer,et al.  Improving the accuracy of parallel robots , 1996 .

[8]  Wisama Khalil,et al.  Identifiable parameters for parallel robots kinematic calibration , 2001, Proceedings 2001 ICRA. IEEE International Conference on Robotics and Automation (Cat. No.01CH37164).

[9]  Jean-Michel Renders,et al.  Kinematic calibration and geometrical parameter identification for robots , 1991, IEEE Trans. Robotics Autom..

[10]  Jean-Yves Hascoët,et al.  Machines-outils à structure parallèle et usinage à grande vitesse , 2005 .

[11]  Jean-Yves Hascoët,et al.  Qualification of parallel kinematics machines in high-speed milling on free form surfaces , 2004 .

[12]  C. Innocenti Algorithms for Kinematic Calibration of Fully-Parallel Manipulators , 1995 .

[13]  Valenciennes Cedex,et al.  IDENTIFICATION OF GEOMETRIC AND NON GEOMETRIC PARAMETERS OF ROBOTS , 1990 .

[14]  Thomas F. Coleman,et al.  An Interior Trust Region Approach for Nonlinear Minimization Subject to Bounds , 1993, SIAM J. Optim..

[15]  Philippe Martinet,et al.  Kinematic calibration of parallel mechanisms: a novel approach using legs observation , 2005, IEEE Transactions on Robotics.

[16]  Hanqi Zhuang,et al.  Kinematic calibration of a Stewart platform using pose measurements obtained by a single theodolite , 1995, Proceedings 1995 IEEE/RSJ International Conference on Intelligent Robots and Systems. Human Robot Interaction and Cooperative Robots.

[17]  John C. Ziegert,et al.  Fundamental Comparison of the Use of Serial and Parallel Kinematics for Machines Tools , 1999 .

[18]  Wei-Yao Hsu,et al.  Error analysis and auto-calibration for a Cartesian-guided tripod machine tool , 2004 .

[19]  Clément Gosselin,et al.  Stiffness mapping for parallel manipulators , 1990, IEEE Trans. Robotics Autom..

[20]  Dominique Deblaise,et al.  A systematic analytical method for PKM stiffness matrix calculation , 2006, Proceedings 2006 IEEE International Conference on Robotics and Automation, 2006. ICRA 2006..

[21]  Masaru Uchiyama,et al.  Forward kinematic calibration and gravity compensation for parallel-mechanism-based machine tools , 2002 .

[22]  David Daney Self Calibration of Gough Platform using leg mobility constraints , 1999 .

[23]  Hanqi Zhuang,et al.  Method for kinematic calibration of stewart platforms , 1993, J. Field Robotics.

[24]  Steven Dubowsky,et al.  Geometric and elastic error calibration of a high accuracy patient positioning system , 2005 .

[25]  Hanqi Zhuang,et al.  Self-calibration of parallel mechanisms with a case study on Stewart platforms , 1997, IEEE Trans. Robotics Autom..

[26]  Guangming Zhang,et al.  Stiffness Modeling of a Stewart Platform Based Milling Machine , 1996 .

[27]  Tatsuo Arai,et al.  Design and accuracy evaluation of high-speed and high precision parallel mechanism , 1998, Proceedings. 1998 IEEE International Conference on Robotics and Automation (Cat. No.98CH36146).

[28]  J F Imbert,et al.  ANALYSE DES STRUCTURES PAR ELEMENTS FINIS , 1979 .

[29]  Gregory Walsh,et al.  Kinematics of a novel three DOF translational platform , 1996, Proceedings of IEEE International Conference on Robotics and Automation.

[30]  Hanqi Zhuang,et al.  Calibration of stewart platforms and other parallel manipulators by minimizing inverse kinematic residuals , 1998, J. Field Robotics.

[31]  R. Clavel Conception d'un robot parallèle rapide à 4 degrés de liberté , 1991 .

[32]  L. W. Tsai,et al.  Robot Analysis: The Mechanics of Serial and Parallel Ma-nipulators , 1999 .

[33]  Wisama Khalil,et al.  Autonomous Calibration of Parallel Robots , 1997 .

[34]  Dominique Deblaise,et al.  Effective geometrical calibration of a delta parallel robot used in neurosurgery , 2005, 2005 IEEE/RSJ International Conference on Intelligent Robots and Systems.

[35]  Jean-Luc Caenen,et al.  Identification of geometric and nongeometric parameters of robots , 1990, Proceedings., IEEE International Conference on Robotics and Automation.

[36]  Jian Wang,et al.  On the accuracy of a Stewart platform. II. Kinematic calibration and compensation , 1993, [1993] Proceedings IEEE International Conference on Robotics and Automation.

[37]  Computation of the direct and inverse geometric models of the Delta 4 parallel robot , 1987, Robotersysteme.

[38]  Jean-Luc Caenen Contribution à l'identification de paramètres géométriques et non géométriques d'un modèle de robot : application à l'amélioration de la précision de positionnement statique , 1993 .

[39]  Ioannis Z. Emiris,et al.  Robust parallel robot calibration with partial information , 2001, Proceedings 2001 ICRA. IEEE International Conference on Robotics and Automation (Cat. No.01CH37164).

[40]  Nicolas Andreff,et al.  Simplifying the kinematic calibration of parallel mechanisms using vision-based metrology , 2006, IEEE Transactions on Robotics.

[41]  Robert P. Judd,et al.  A technique to calibrate industrial robots with experimental verification , 1987, IEEE Trans. Robotics Autom..

[42]  G. Gogu,et al.  Rigidity analysis of T3R1 parallel robot with uncoupled kinematics , 2004 .

[43]  Benjamin W. Mooring,et al.  Determination and specification of robot repeatability , 1986, Proceedings. 1986 IEEE International Conference on Robotics and Automation.

[44]  Takashi Suehiro,et al.  Stiffness Analysis and Design of a Compact Modified Delta Parallel Mechanism , 2004, Robotica.

[45]  Sébastien Krut,et al.  Contribution à l'étude des robots parallèles légers, 3T-1R et 3T-2R, à forts débattements angulaires , 2003 .

[46]  Wisama Khalil,et al.  Geometric Calibration of Robots with Flexible Joints and Links , 2002, J. Intell. Robotic Syst..

[47]  Patrick Maurine Développement et mise en oeuvre de méthodologies d'étalonnage de robots manipulateurs industriels , 1996 .

[48]  Damien Chablat,et al.  Working modes and aspects in fully parallel manipulators , 1998, Proceedings. 1998 IEEE International Conference on Robotics and Automation (Cat. No.98CH36146).

[49]  Samad Hayati,et al.  Robot arm geometric link parameter estimation , 1983, The 22nd IEEE Conference on Decision and Control.

[50]  C. Innocenti,et al.  Singularity-Free Evolution From One Configuration to Another in Serial and Fully-Parallel Manipulators , 1998 .

[51]  Fouad Bennis,et al.  Sensitivity Analysis of the Orthoglide, a 3-DOF Translational Parallel Kinematic Machine , 2006, ArXiv.

[52]  Mohamed Damak Theorie et instrumentation pour l'etalonnage statique des robots : vers une programmation hors-ligne industriellement plus efficace , 1996 .

[53]  Abdul Rauf,et al.  Fully autonomous calibration of parallel manipulators by imposing position constraint , 2001, Proceedings 2001 ICRA. IEEE International Conference on Robotics and Automation (Cat. No.01CH37164).

[54]  Clément Gosselin,et al.  Singularity analysis of closed-loop kinematic chains , 1990, IEEE Trans. Robotics Autom..

[55]  David Daney Etalonnage geometrique des robots paralleles , 2000 .

[56]  Michel Benoit,et al.  I4: A new parallel mechanism for Scara motions , 2003, 2003 IEEE International Conference on Robotics and Automation (Cat. No.03CH37422).

[57]  Clément Gosselin,et al.  Parametric Stiffness Analysis of the Orthoglide , 2004, ArXiv.

[58]  Sebastien Besnard Etalonnage geometrique des robots serie et paralleles , 2000 .

[59]  C. Gosselin,et al.  Kinetostatic modeling of parallel mechanisms with a passive constraining leg and revolute actuators , 2002 .

[61]  Lixin Liu,et al.  Self-calibration of a class of parallel manipulators , 1996, Proceedings of IEEE International Conference on Robotics and Automation.

[62]  Abdul Rauf,et al.  Complete parameter identification of parallel manipulators with partial pose information using a new measurement device , 2004, Robotica.

[63]  T. Coleman,et al.  On the Convergence of Reflective Newton Methods for Large-scale Nonlinear Minimization Subject to Bounds , 1992 .

[64]  J. Fauroux,et al.  Evaluation of a 4-Degree of Freedom Parallel Manipulator Stiffness , 2003 .

[65]  Wisama Khalil,et al.  Calibration of parallel robots using two inclinometers , 1999, Proceedings 1999 IEEE International Conference on Robotics and Automation (Cat. No.99CH36288C).

[66]  D. Stewart,et al.  A Platform with Six Degrees of Freedom , 1965 .

[67]  M.,et al.  Computation of Sti ness and Sti nessBounds for Parallel Link Manipulators , 1996 .

[68]  F. Pierrot Robots pleinement parallèles légers : conception, modélisation et commande , 1991 .

[69]  Arnold Neumaier,et al.  Interval methods for certification of the kinematic calibration of parallel robots , 2004, IEEE International Conference on Robotics and Automation, 2004. Proceedings. ICRA '04. 2004.

[70]  Placid Mathew Ferreira,et al.  Computation of stiffness and stiffness bounds for parallel link manipulators 1 This research was sup , 1999 .

[71]  Nicolas Andreff,et al.  Interval method for calibration of parallel robots : Vision-based experiments , 2006 .

[72]  Damien Chablat,et al.  Uniqueness Domains in the Workspace of Parallel Manipulators , 2007, ArXiv.

[73]  Zvi S. Roth,et al.  Fundamentals of Manipulator Calibration , 1991 .

[74]  François Pierrot,et al.  H4 parallel robot: modeling, design and preliminary experiments , 2001, Proceedings 2001 ICRA. IEEE International Conference on Robotics and Automation (Cat. No.01CH37164).

[75]  F. Pierrot Modelling and design issues of a 3-axis parallel machine-tool , 2002 .

[76]  Damien Chablat,et al.  Architecture optimization of a 3-DOF translational parallel mechanism for machining applications, the orthoglide , 2003, IEEE Trans. Robotics Autom..

[77]  J. Batoz,et al.  Modélisation des structures par éléments finis: poutres et plaques , 1990 .

[78]  C. Gosselin,et al.  Kinetostatic Modeling of N-DOF Parallel Mechanisms With a Passive Constraining Leg and Prismatic Actuators , 2001 .

[79]  K. Yamamoto,et al.  Robot autonomous error calibration method for off line programming system , 1995, Proceedings of 1995 IEEE International Conference on Robotics and Automation.

[80]  Markus Thurneysen Méthode systématique de conception de cinématiques parallèles , 2004 .