Symmetry adapted Assur decompositions

Nixon, Anthony and Schulze, Bernd and Sljoka, Adnan and Whiteley, Walter (2014) Symmetry adapted Assur decompositions. Symmetry, 6 (3). pp. 516-550. ISSN 2073-8994

[thumbnail of symmetry-06-00516]
PDF (symmetry-06-00516)
symmetry_06_00516.pdf - Published Version
Available under License Creative Commons Attribution.

Download (1MB)


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.

Item Type:
Journal Article
Journal or Publication Title:
Additional Information:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Uncontrolled Keywords:
?? assur decompositionpinned framework forced symmetry symmetric infinitesimal motion isostatic graph gain graph orbit matrixcomputer science (miscellaneous)mathematics(all)physics and astronomy (miscellaneous)chemistry (miscellaneous) ??
ID Code:
Deposited By:
Deposited On:
08 Sep 2014 07:51
Last Modified:
22 Jun 2024 00:19