Publication

Exact interval propagation for the efficient solution of position analysis problems on planar linkages

Journal Article (2012)

Journal

Mechanism and Machine Theory

Pages

116-131

Volume

54

Doc link

http://dx.doi.org/10.1016/j.mechmachtheory.2012.03.005

File

Download the digital copy of the doc pdf document

Abstract

This paper presents an interval propagation algorithm for variables in planar single-loop linkages. Given intervals of allowed values for all variables, the algorithm provides, for every variable, the whole set of values, without overestimation, for which the linkage can actually be assembled. We show further how this algorithm can be integrated in a branch-and-prune search scheme, in order to solve the position analysis of general planar multi-loop linkages. Experimental results are included, comparing the method's performance with that of previous techniques given for the same task.

Categories

robot kinematics.

Author keywords

interval propagation, planar linkages, box approximation, loop equation, position analysis, forward and inverse kinematics

Scientific reference

E. Celaya, T. Creemers and L. Ros. Exact interval propagation for the efficient solution of position analysis problems on planar linkages. Mechanism and Machine Theory, 54: 116-131, 2012.