English

Spatial Straight Line Linkages by Factorization of Motion Polynomials

Metric Geometry 2018-07-31 v2 Robotics Rings and Algebras

Abstract

We use the recently introduced factorization of motion polynomials for constructing overconstrained spatial linkages with a straight line trajectory. Unlike previous examples, the end-effector motion is not translational and the link graph is a cycle. In particular, we obtain a number of linkages with four revolute and two prismatic joints and a remarkable linkage with seven revolute joints one of whose joints performs a Darboux motion.

Cite

@article{arxiv.1410.2752,
  title  = {Spatial Straight Line Linkages by Factorization of Motion Polynomials},
  author = {Zijia Li and Josef Schicho and Hans-Peter Schröcker},
  journal= {arXiv preprint arXiv:1410.2752},
  year   = {2018}
}

Comments

Corrected author name

R2 v1 2026-06-22T06:19:18.810Z