Stiffness Analysis of 6-RSS Parallel Manipulator

This paper describes a stiffness analysis of a 6-RSS parallel manipulator by using matrix structural analysis. The stiffness analysis is based on standard concepts of static elastic deformations. The formulation has been implemented in order to obtain the stiffness matrix that can be numerically computed by defining a suitable model of the manipulator, which takes into account the stiffness properties of each element such as links and joints. The obtained stiffness matrix was used to map the end-effector compliant displacements when external forces and torques are applied on it. Finally experimental test were performed to verify the proposed methodology. Keywords: Parallel Manipulators, Stiffness Analysis, Matrix

[1]  Feng Gao,et al.  Optimum design of 3-DOF spherical parallel manipulators with respect to the conditioning and stiffness indices , 2000 .

[2]  J. S. Przemieniecki Theory of matrix structural analysis , 1985 .

[3]  Marco Ceccarelli,et al.  Fundamentals of Mechanics of Robotic Manipulation , 2004, Mechanisms and Machine Science.

[4]  Javad Enferadi,et al.  Accuracy and stiffness analysis of a 3-RRP spherical parallel manipulator , 2011, Robotica.

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

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

[7]  Tian Huang,et al.  Stiffness estimation of a tripod-based parallel kinematic machine , 2002, IEEE Trans. Robotics Autom..

[8]  Marco Ceccarelli,et al.  Application of a 3-DOF parallel manipulator for earthquake simulations , 2006 .

[9]  Marco Ceccarelli,et al.  A Fairly General Algorithm to Evaluate Workspace Characteristics of Serial and Parallel Manipulators , 2008 .

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

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

[12]  Rogério Sales Gonçalves,et al.  A MULTI-OBJECTIVE OPTIMIZATION DESIGN FOR PARALLEL STRUCTURES , 2009 .

[13]  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..

[14]  Charles Pinto,et al.  Workspaces associated to assembly modes of the 5R planar parallel manipulator , 2008, Robotica.

[15]  Gilmar Ferreira Batalha,et al.  A prototype of a contour milling machine based on a parallel kinematic mechanism , 2001 .

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

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

[18]  M. Ceccarelli,et al.  Application of a 3-DOF parallel manipulator for earthquake simulations , 2006, IEEE/ASME Transactions on Mechatronics.

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

[20]  N.R.N. Eduardo,et al.  CaPaMan2bis as Trunk module in CALUMA (CAssino Low-cost hUMAnoid robot) , 2006, 2006 IEEE Conference on Robotics, Automation and Mechatronics.

[21]  Moshe Shoham,et al.  Stiffness Synthesis of a Variable Geometry Planar Robot , 2002 .

[22]  Ahmed A. Shabana,et al.  Dynamics of Multibody Systems , 2020 .

[23]  Lining Sun,et al.  Stiffness influence atlases of a novel flexure hinge-based parallel mechanism with large workspace , 2005, 2005 IEEE/RSJ International Conference on Intelligent Robots and Systems.

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

[25]  Rogério Sales Gonçalves,et al.  A GENERAL APPROACH FOR ACCURACY ANALYSIS OF PARALLEL MANIPULATOR WITH JOINT CLEARANCE , 2009 .

[26]  João Carlos Mendes Carvalho,et al.  Stiffness Analysis of Parallel Manipulator Using Matrix Structural Analysis , 2009 .

[27]  Dan Zhang,et al.  Analysis of parallel kinematic machine with kinetostatic modelling method , 2004 .

[28]  Eugene I. Rivin,et al.  Stiffness and Damping in Mechanical Design , 1999 .

[29]  Rogério Sales Gonçalves Estudo de rigidez de cadeias cinemáticas fechadas , 2009 .

[30]  Marco Ceccarelli,et al.  Comparison of indices for stiffness performance evaluation , 2010 .

[31]  Damien Chablat,et al.  Stiffness Analysis of Overconstrained Parallel Manipulators , 2009, ArXiv.

[32]  Ilian A. Bonev,et al.  Towards development of a 2-DOF planar oparallel robot with optimal workspace use , 2007, 2007 IEEE International Conference on Systems, Man and Cybernetics.

[33]  Marco Ceccarelli,et al.  Indices for Stiffness and Singularity Evaluation for Designing 5R Parallel Manipulators , 2010 .

[34]  Zongquan Deng,et al.  Stiffness modeling of a family of 6-DoF parallel mechanisms with three limbs based on screw theory , 2010 .

[35]  Marco Ceccarelli,et al.  Experimental and Numerical Characterization of CaPaMan 2bis Operation , 2010 .

[36]  Marco Ceccarelli,et al.  A New 3 dof Spatial Parallel Mechanism , 1997 .

[37]  Charles Pinto,et al.  A methodology for static stiffness mapping in lower mobility parallel manipulators with decoupled motions , 2010, Robotica.