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  • symmetry-06-00516

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Symmetry adapted Assur decompositions

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<mark>Journal publication date</mark>27/06/2014
<mark>Journal</mark>Symmetry
Issue number3
Volume6
Number of pages35
Pages (from-to)516-550
Publication StatusPublished
<mark>Original language</mark>English

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.

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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.