Next Article in Journal
Autosolvation: Architecture and Selection of Chiral Conformers in Alkylcobalt Carbonyl Molecular Clocks
Next Article in Special Issue
On the Self-Mobility of Point-Symmetric Hexapods
Previous Article in Journal
Wigner’s Space-Time Symmetries Based on the Two-by-Two Matrices of the Damped Harmonic Oscillators and the Poincaré Sphere
Previous Article in Special Issue
Symmetry Perspectives on Some Auxetic Body-Bar Frameworks
Open AccessArticle

Symmetry Adapted Assur Decompositions

1
Department of Mathematics and Statistics, York University, 4700 Keele Street, Toronto, ON M3J 1P3, Canada
2
Department of Mathematics and Statistics, Lancaster University, Lancaster LA1 4YF, UK
3
Department of Physics, Ryerson University, Toronto, ON M5B 2K3, Canada
4
Department of Psychology and Neuroscience, University of Colorado, Boulder, CO 80309, USA
*
Author to whom correspondence should be addressed.
Symmetry 2014, 6(3), 516-550; https://doi.org/10.3390/sym6030516
Received: 31 March 2014 / Revised: 5 June 2014 / Accepted: 12 June 2014 / Published: 27 June 2014
(This article belongs to the Special Issue Rigidity and Symmetry)
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. View Full-Text
Keywords: Assur decomposition; pinned framework; forced symmetry; symmetric infinitesimal motion; isostatic graph; gain graph; orbit matrix Assur decomposition; pinned framework; forced symmetry; symmetric infinitesimal motion; isostatic graph; gain graph; orbit matrix
MDPI and ACS Style

Nixon, A.; Schulze, B.; Sljoka, A.; Whiteley, W. Symmetry Adapted Assur Decompositions. Symmetry 2014, 6, 516-550.

Show more citation formats Show less citations formats

Article Access Map by Country/Region

1
Only visits after 24 November 2015 are recorded.
Search more from Scilit
 
Search
Back to TopTop