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The almost periodic rigidity of crystallographic bar-joint frameworks

Research output: Contribution to journalJournal article

Published

Journal publication date24/04/2014
JournalSymmetry
Journal number2
Volume6
Number of pages21
Pages308-328
Original languageEnglish

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.

Bibliographic note

c 2014 by the authors; licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution license (http://creativecommons.org/licenses/by/3.0/). Special Issue on "Rigidity and Symmetry". Guest Editor: Dr. Bernd Schulze, Department of Mathematics and Statistics, Fylde College, Lancaster University, Lancaster, LA1 4YF, UK