Research output: Contribution in Book/Report/Proceedings - With ISBN/ISSN › Chapter (peer-reviewed)
Research output: Contribution in Book/Report/Proceedings - With ISBN/ISSN › Chapter (peer-reviewed)
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TY - CHAP
T1 - Mobility of symmetry-regular bar-and-joint frameworks
AU - Fowler, Patrick
AU - Guest, Simon
AU - Schulze, Bernd
PY - 2014/6
Y1 - 2014/6
N2 - In a symmetry-regular bar-and-joint framework of given point-group symmetry, all bars and joints occupy general positions with respect to the symmetry elements. The symmetry-extended form of Maxwell’s Rule is applied to this simplest type of framework and is used to derive counts within irreducible representations for infinitesimal mechanisms and states of self stress. In particular, conditions are given for symmetry-regular frameworks to have at least one infinitesimal mechanism (respectively, state of self stress) within each irreducible representation of the point group of the framework. Similar conditions are found for symmetry-regular body-and-joint frameworks.
AB - In a symmetry-regular bar-and-joint framework of given point-group symmetry, all bars and joints occupy general positions with respect to the symmetry elements. The symmetry-extended form of Maxwell’s Rule is applied to this simplest type of framework and is used to derive counts within irreducible representations for infinitesimal mechanisms and states of self stress. In particular, conditions are given for symmetry-regular frameworks to have at least one infinitesimal mechanism (respectively, state of self stress) within each irreducible representation of the point group of the framework. Similar conditions are found for symmetry-regular body-and-joint frameworks.
M3 - Chapter (peer-reviewed)
SN - 9781493907809
T3 - Fields Institute Communications
SP - 117
EP - 130
BT - Rigidity and symmetry
A2 - Connell, Robert
A2 - Weiss , Asia Ivić
A2 - Whiteley, Walter
PB - Springer
CY - New York
ER -