Article ID Journal Published Year Pages File Type
4659521 Topology and its Applications 2012 14 Pages PDF
Abstract

We study the topological and differentiable singularities of the configuration space C(Γ) of a mechanical linkage Γ in Rd, defining an inductive sufficient condition to determine when a configuration is singular. We show that this condition holds for generic singularities, provide a mechanical interpretation, and give an example of a type of mechanism for which this criterion identifies all singularities.

Related Topics
Physical Sciences and Engineering Mathematics Geometry and Topology