Name
Abstract | ||
|---|---|---|
In our previous paper, we presented the combinatorial theory for minimal isostatic pinned frameworks-Assur graphs-which arise in the analysis of mechanical linkages. In this paper we further explore the geometric properties of Assur graphs, with a focus on singular realizations which have static self-stresses. We provide a new geometric characterization of Assur graphs, based on special singular realizations. These singular positions are then related to dead-end positions in which an associated mechanism with an inserted driver will stop or jam. |
Year | DOI | Venue |
|---|---|---|
2010 | 10.1016/j.ejc.2009.11.020 | Eur. J. Comb. |
Keywords | Field | DocType |
combinatorial theory,new geometric characterization,assur graph,singular realization,singular position,special singular realization,mechanical linkage,previous paper,associated mechanism,geometric property,degree of freedom,mechanical engineering,partial order,first order | Graph,Combinatorics,Linkage (mechanical),Algebra,Associated mechanism,Mathematics | Journal |
Volume | Issue | ISSN |
31 | 4 | 0195-6698 |
Citations | PageRank | References |
4 | 0.66 | 4 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Brigitte Servatius | 1 | 141 | 19.37 |
| Offer Shai | 2 | 41 | 7.48 |
| Walter Whiteley | 3 | 450 | 32.34 |