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The almost periodic rigidity of crystallographic bar-joint frameworks

Research output: Contribution to Journal/Magazine › Journal article › peer-review

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The almost periodic rigidity of crystallographic bar-joint frameworks. / Badri, Ghada; Kitson, Derek; Power, Stephen.

In: Symmetry, Vol. 6, No. 2, 24.04.2014, p. 308-328.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Harvard

Badri, G, Kitson, D & Power, S 2014, 'The almost periodic rigidity of crystallographic bar-joint frameworks', Symmetry, vol. 6, no. 2, pp. 308-328. https://doi.org/10.3390/sym6020308

APA

Badri, G., Kitson, D., & Power, S. (2014). The almost periodic rigidity of crystallographic bar-joint frameworks. Symmetry, 6(2), 308-328. https://doi.org/10.3390/sym6020308

Vancouver

Badri G, Kitson D, Power S. The almost periodic rigidity of crystallographic bar-joint frameworks. Symmetry. 2014 Apr 24;6(2):308-328. doi: 10.3390/sym6020308

Author

Badri, Ghada ; Kitson, Derek ; Power, Stephen. / The almost periodic rigidity of crystallographic bar-joint frameworks. In: Symmetry. 2014 ; Vol. 6, No. 2. pp. 308-328.

Bibtex

@article{0b8427e062924dc19399726f9044ae78,
title = "The almost periodic rigidity of crystallographic bar-joint frameworks",
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.",
keywords = "crystal framework, infinitesimal rigidity , almost periodic functions",
author = "Ghada Badri and Derek Kitson and Stephen Power",
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",
year = "2014",
month = apr,
day = "24",
doi = "10.3390/sym6020308",
language = "English",
volume = "6",
pages = "308--328",
journal = "Symmetry",
issn = "2073-8994",
publisher = "Multidisciplinary Digital Publishing Institute (MDPI)",
number = "2",

}

RIS

TY - JOUR

T1 - The almost periodic rigidity of crystallographic bar-joint frameworks

AU - Badri, Ghada

AU - Kitson, Derek

AU - Power, Stephen

N1 - 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

PY - 2014/4/24

Y1 - 2014/4/24

N2 - 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.

AB - 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.

KW - crystal framework

KW - infinitesimal rigidity

KW - almost periodic functions

U2 - 10.3390/sym6020308

DO - 10.3390/sym6020308

M3 - Journal article

VL - 6

SP - 308

EP - 328

JO - Symmetry

JF - Symmetry

SN - 2073-8994

IS - 2

ER -