2015/01/29 by Zijia Li, Li, Zijia, Josef Schicho +3
Computer Science · Engineering · Mathematics · #12D05 #70B10 #Control and Dynamics of Mobile Robots #Dynamics and Control of Mechanical Systems #FOS: Computer and information sciences #FOS: Mathematics #Metric Geometry (math.MG) #Robotic Mechanisms and Dynamics #Robotics (cs.RO) #cs.RO #math.MG #msc:12D05 #msc:70B10
paper · pdf · doi:10.48550/arxiv.1501.07365
To be published in the proceedings of the 14th IFToMM World Congress, Taipei, 2015
openalex publication_date 2015/01/29 · arxiv created 2015/06/29 · arxiv updated 2015/06/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper, we construct two types of 7R closed single loop linkages by combining different factorizations of a general (non-vertical) Darboux motion. These factorizations are obtained by extensions of a factorization algorithm for a generic rational motion. The first type of 7R linkages has several one-dimensional configuration components and one of them corresponds to the Darboux motion. The other type is a 7R linkage with two degrees of freedom and without one-dimensional component. The Darboux motion is a curve in an irreducible two dimensional configuration component.