Title
Four-Pose Synthesis of Angle-Symmetric 6R Linkages.
Abstract
We use the recently introduced factorization theory of motion polynomials over the dual quaternions and cubic interpolation on quadrics for the synthesis of closed kinematic loops with six revolute joints that visit four prescribed poses. The resulting 6R linkages are special in the sense that the relative motions of all links are rational. They exhibit certain elegant properties such as symmetry in the rotation angles and, at least in theory, full-cycle mobility. Our synthesis approach admits either no solution or two one-parametric families of solutions. We suggest strategies for picking good solutions from these families. They ensure a fair coupler motion and optimize other linkage characteristics such as total rotation angle or linkage size. A comprehensive synthesis example is provided.
Year
DOI
Venue
2013
10.1115/1.4029186
JOURNAL OF MECHANISMS AND ROBOTICS-TRANSACTIONS OF THE ASME
Keywords
DocType
Volume
polynomials,linkages,rotation,interpolation
Journal
7
Issue
ISSN
Citations 
4
1942-4302
8
PageRank 
References 
Authors
0.83
6
3
Name
Order
Citations
PageRank
Gábor Hegedüs1367.38
Josef Schicho2172.75
Hans-Peter Schröcker36013.17