Wrench-Feasible Workspace of Parallel Cable-Driven Mechanisms
- 1 April 2007
- conference paper
- conference paper
- Published by Institute of Electrical and Electronics Engineers (IEEE) in Proceedings 2001 ICRA. IEEE International Conference on Robotics and Automation (cat. No.01ch37164)
- No. 10504729,p. 1492-1497
- https://doi.org/10.1109/robot.2007.363195
Abstract
The wrench-feasible workspace (WFW) of a parallel cable-driven mechanism is the set of poses of its mobile platform for which the cables can balance any wrench in a specified set of wrenches, such that the tension in each cable remains within a prescribed range. The WFW is fundamental since it takes into account both the requirement of non-negative cable tension and the requirement of a maximum admissible cable tension. This paper addresses the problem of the determination of the WFW of n-degree-of-freedom parallel mechanisms driven by more than n cables. Interval analysis based methods that allow to determine if a given n-dimensional box is fully included in the WFW are presented. Moreover, these methods are also able to approximate the WFW up to a chosen accuracy. The resulting approximation consists of a set of n-dimensional boxes such that each box of the set is fully included in the WFW.Keywords
This publication has 17 references indexed in Scilit:
- Determination of the wrench-closure workspace of 6-DOF parallel cable-driven mechanismsPublished by Springer Science and Business Media LLC ,2006
- Workspaces of Cable-Actuated Parallel ManipulatorsJournal of Mechanical Design, 2005
- Optimal design of robotsPublished by Robotics: Science and Systems Foundation ,2005
- Design, analysis and realization of tendon-based parallel manipulatorsMechanism and Machine Theory, 2005
- Dimensional Synthesis of Parallel Robots with a Guaranteed Given Accuracy over a Specific WorkspacePublished by Institute of Electrical and Electronics Engineers (IEEE) ,2005
- Determination of the Dynamic Workspace of Cable-Driven Planar Parallel MechanismsJournal of Mechanical Design, 2005
- On the Design of Cable-Suspended Planar Parallel RobotsJournal of Mechanical Design, 2004
- Safe bounds in linear and mixed-integer linear programmingMathematical Programming, 2004
- Determination of 6D Workspaces of Gough-Type Parallel Manipulator and Comparison between Different GeometriesThe International Journal of Robotics Research, 1999
- On Optimal Solution of Interval Linear EquationsSIAM Journal on Numerical Analysis, 1995