The almost periodic rigidity of crystallographic bar-joint frameworks
Metric Geometry
2014-02-26 v1 Mathematical Physics
math.MP
Abstract
A crystallographic bar-joint framework C is shown to be almost periodically infinitesimally rigid if and only if it is strictly periodically infinitesimally rigid and the rigid unit mode (RUM) spectrum is a singleton. Moreover the almost periodic infinitesimal flexes of C are characterised in terms of a matrix-valued function on the d-torus determined by a full rank translation symmetry group and an associated motif of joints and bars.
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Cite
@article{arxiv.1402.6250,
title = {The almost periodic rigidity of crystallographic bar-joint frameworks},
author = {G. Badri and D. Kitson and S. C. Power},
journal= {arXiv preprint arXiv:1402.6250},
year = {2014}
}
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17 pages