A Survey on the Theory of Bonds
Systems and Control
2018-08-10 v1 Algebraic Geometry
Metric Geometry
Abstract
Many researchers tried to understand/explain the geometric reasons for paradoxical mobility of a mechanical linkage, i.e. the situation when a linkage allows more motions than expected from counting parameters and constraints. Bond theory is a method that aims at understanding paradoxical mobility from an algebraic point of view. Here we give a self-contained introduction of this theory and discuss its results on closed linkages with revolute or prismatic joints.
Keywords
Cite
@article{arxiv.1808.03138,
title = {A Survey on the Theory of Bonds},
author = {Zijia Li and Josef Schicho and Hans-Peter Schröcker},
journal= {arXiv preprint arXiv:1808.03138},
year = {2018}
}