Authors
Marc Gouttefarde, David Daney, Jean-Pierre Merlet
Publication date
2010/12/3
Journal
IEEE Transactions on Robotics
Volume
27
Issue
1
Pages
1-13
Publisher
IEEE
Description
This paper deals with the wrench-feasible workspace (WFW) of n -degree-of-freedom parallel robots driven by n or more than n cables. The WFW is the set of mobile platform poses for which the cables can balance any wrench of a given set of wrenches, such that the tension in each cable remains within a prescribed range. Requirements of nonnegative cable tensions, as well as maximum admissible tensions, are thus satisfied. The determination of the WFW is an important issue since its size and shape are highly dependent on the geometry of the robot and on the ranges of allowed cable tensions. The approach proposed in this paper is mainly based on interval analysis. Two sufficient conditions are presented, namely, a sufficient condition for a box of poses to be fully inside the WFW and a sufficient condition for a box of poses to be fully outside the WFW. These sufficient conditions are relevant since they can …
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