The almost periodic rigidity of crystallographic bar-joint frameworks

Badri, Ghada and Kitson, Derek and Power, Stephen (2014) The almost periodic rigidity of crystallographic bar-joint frameworks. Symmetry, 6 (2). pp. 308-328. ISSN 2073-8994

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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.

Item Type:
Journal Article
Journal or Publication Title:
Symmetry
Additional Information:
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
Uncontrolled Keywords:
/dk/atira/pure/subjectarea/asjc/1600/1601
Subjects:
ID Code:
69623
Deposited By:
Deposited On:
10 Jun 2014 08:47
Refereed?:
Yes
Published?:
Published
Last Modified:
25 Oct 2020 02:46