Symmetry adapted Assur decompositions
Combinatorics
2014-04-08 v1 Metric Geometry
Abstract
Assur graphs are a tool originally developed by mechanical engineers to decompose mechanisms for simpler analysis and synthesis. Recent work has connected these graphs to strongly directed graphs, and decompositions of the pinned rigidity matrix. Many mechanisms have initial configurations which are symmetric, and other recent work has exploited the orbit matrix as a symmetry adapted form of the rigidity matrix. This paper explores how the decomposition and analysis of symmetric frameworks and their symmetric motions can be supported by the new symmetry adapted tools.
Cite
@article{arxiv.1404.1505,
title = {Symmetry adapted Assur decompositions},
author = {Anthony Nixon and Bernd Schulze and Adnan Sljoka and Walter Whiteley},
journal= {arXiv preprint arXiv:1404.1505},
year = {2014}
}
Comments
40 pages, 22 figures