Stiffness Analysis of a Planar 2-DoF Cable-Suspended Mechanism While Considering Cable Mass

The mass of the cables is not considered in most existing research on cable-driven mechanisms (CDM). Moreover, of those papers where cable mass is considered, few have examined its effects on mechanism stiffness. The research presented herein seeks to better understand these effects with regards to a planar two-degree-of-freedom suspended CDM. The mechanism’s stiffness matrix is first developed and then used to generate mappings of intuitive stiffness indices over the workspace. The sagging of the cables under their own weight is found to heavily influence mechanism stiffness. The importance of maintaining a minimum level of cable tension to minimize the effect of cable sagging on the mechanism’s stiffness and workspace is also demonstrated.

[1]  Imme Ebert-Uphoff,et al.  Wrench-based analysis of cable-driven robots , 2004, IEEE International Conference on Robotics and Automation, 2004. Proceedings. ICRA '04. 2004.

[2]  Jean-Pierre Merlet,et al.  Interval-Analysis-Based Determination of the Wrench-Feasible Workspace of Parallel Cable-Driven Robots , 2011, IEEE Transactions on Robotics.

[3]  Marc Gouttefarde,et al.  Simplified static analysis of large-dimension parallel cable-driven robots , 2012, 2012 IEEE International Conference on Robotics and Automation.

[4]  Marc Gouttefarde,et al.  Effects of non-negligible cable mass on the static behavior of large workspace cable-driven parallel mechanisms , 2009, 2009 IEEE International Conference on Robotics and Automation.

[5]  B. Y. Duan,et al.  Dynamic modeling and active control of a cable-suspended parallel robot , 2008 .

[6]  Philip A. Voglewede,et al.  On the connections between cable-driven robots, parallel manipulators and grasping , 2004, IEEE International Conference on Robotics and Automation, 2004. Proceedings. ICRA '04. 2004.

[7]  Qian Zhou,et al.  Static analysis of cable-driven manipulators with non-negligible cable mass , 2004, IEEE Transactions on Robotics.

[8]  Manfred Hiller,et al.  Estimating the Controllable Workspace of Tendon-Based Stewart Platforms , 2000 .

[9]  Saeed Behzadipour,et al.  Stiffness of Cable-based Parallel Manipulators With Application to Stability Analysis , 2006 .

[10]  Samuel Bouchard.  Géométrie des robots parallèles entraînés par des câbles , 2008 .

[11]  Stefan Havlik.  Cable Suspended Manipulation Robots , 1999 .

[12]  Moharam Habibnejad Korayem,et al.  Workspace analysis of cable-suspended robots with elastic cable , 2007, 2007 IEEE International Conference on Robotics and Biomimetics (ROBIO).

[13]  Manfred Hiller,et al.  Workspace, Stiffness, Singularities and Classification of Tendon-Driven Stewart Platforms , 1998 .

[14]  Marc Arsenault.  Optimization of the prestress stable wrench closure workspace of planar parallel three-degree-of-freedom cable-driven mechanisms with four cables , 2010, 2010 IEEE International Conference on Robotics and Automation.

[15]  Clément Gosselin,et al.  Analysis of the wrench-closure workspace of planar parallel cable-driven mechanisms , 2006, IEEE Transactions on Robotics.

[16]  Franc¸ois Pierrot,et al.  On the Static Workspace of Large Dimension Cable-Suspended Robots With Non Negligible Cable Mass , 2010 .

[17]  Jean-Pierre Merlet,et al.  Kinematics of the wire-driven parallel robot MARIONET using linear actuators , 2008, 2008 IEEE International Conference on Robotics and Automation.

[18]  James S. Albus,et al.  The NIST robocrane , 1993, J. Field Robotics.

[19]  Manfred Hiller,et al.  Continuous Workspace Analysis, Synthesis and Optimization of Wire Robots , 2008 .

[20]  Rendong Nan,et al.  A Chinese concept for the 1 km2 radio telescope , 2000 .

[21]  Robert L. Williams,et al.  A Concept for Rapidly-Deployable Cable Robot Search and Rescue Systems , 2005 .

[22]  Mingyang Zhao,et al.  Control of a 3-DOF Parallel Wire Driven Stiffness-Variable Manipulator , 2004, 2004 IEEE International Conference on Robotics and Biomimetics.

[23]  Robert L. Williams,et al.  Cable-suspended robotic contour crafting system , 2007 .