Title
Self-motions of pentapods with linear platform
Abstract
We give a full classification of all pentapods with linear platform possessing a self- motion beside the trivial rotation about the platform. Recent research necessitates a contemporary and accurate re- examination of old results on this topic given by Darboux, Mannheim, Duporcq and Bricard, which also takes the coincidence of platform anchor points into account. For our study we use bond theory with respect to a novel kinematic mapping for pentapods with linear platform, beside the method of singular- invariant leg- rearrangements. Based on our results we design pentapods with linear platform, which have a simplified direct kinematics concerning their number of (real) solutions.
Year
DOI
Venue
2014
10.1017/S0263574715000843
ROBOTICA
Keywords
Field
DocType
Pentapod,Borel Bricard problem,Bond theory,Self-Motion,Direct kinematic,Kinematic mapping
Topology,Kinematics,Control theory,Self motion,Coincidence,Engineering
Journal
Volume
Issue
ISSN
35
4
0263-5747
Citations 
PageRank 
References 
1
0.44
4
Authors
2
Name
Order
Citations
PageRank
Georg Nawratil1225.94
Josef Schicho2217.70