Singularities and workspace analysis for a parallel robot for minimally invasive surgery

The paper presents the singularity and workspace analysis of PARAMIS — the first parallel robot, for camera guidance in minimally invasive surgical procedures developed in Romania. The graphical workspace is achieved through a series of geometric constructions in modeling software. The analytical workspace is achieved through a simple method based on the geometric model of the robot. The paper will demonstrate that the use of a simple structure with the minimum number of degrees of freedom required by the application provides the necessary workspace without singularity points. Results and conclusions from the first experimental procedures are presented.

[1]  T.P. Itul,et al.  Workspace Analysis of a Three Degrees of Freedom Parallel Robot , 2006, 2006 IEEE International Conference on Automation, Quality and Testing, Robotics.

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

[3]  Marco Ceccarelli,et al.  A Geometrical Characterization of Workspace Singularities in 3R Manipulators , 2008 .

[4]  Doina Pisla,et al.  Kinematic Modeling and Workspace Generation for a New Parallel Robot Used in Minimally Invasive Surgery , 2008 .

[5]  Annika Raatz,et al.  Development of a Control System for a Parallel Robot Used in Minimally Invasive Surgery , 2009 .

[6]  P. A. Finlay A New Miniature Manipulator for Laparoscopic Camera Control , 2009 .

[7]  J. Hubert,et al.  Singularity Analysis through Static Analysis , 2008 .

[8]  A. Gumbs,et al.  Totally Transumbilical Laparoscopic Cholecystectomy , 2009, Journal of Gastrointestinal Surgery.

[9]  Jean-Pierre Merlet,et al.  Parallel Robots , 2000 .

[10]  R. G. Fenton,et al.  A Unifying Framework for Classification and Interpretation of Mechanism Singularities , 1995 .

[11]  Damien Chablat,et al.  Workspace Analysis of the Orthoglide using Interval Analysis , 2007, ArXiv.

[12]  Jorge Angeles,et al.  Fundamentals of Robotic Mechanical Systems: Theory, Methods, and Algorithms , 1995 .

[13]  Stefano Paolo Pastorelli,et al.  Singularity Analysis of a 3 Degrees-of-Freedom Parallel Manipulator , 2009 .

[14]  C. Gosselin Determination of the Workspace of 6-DOF Parallel Manipulators , 1990 .

[15]  Kai Zhou,et al.  On the workspace of spatial parallel manipulator with multi-translational degrees of freedom , 2005 .