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Symmetry 2014, 6(2), 308-328; doi:10.3390/sym6020308
Article

The Almost Periodic Rigidity of Crystallographic Bar-Joint Frameworks

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Received: 25 February 2014; in revised form: 11 April 2014 / Accepted: 15 April 2014 / Published: 24 April 2014
(This article belongs to the Special Issue Rigidity and Symmetry)
Abstract: A crystallographic bar-joint framework, C in Rd, 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, Ω (C), is a singleton. Moreover, the almost periodic infinitesimal flexes of C are characterised in terms of a matrix-valued function, ΦC(z), on the d-torus, Td, determined by a full rank translation symmetry group and an associated motif of joints and bars.
Keywords: crystal framework; infinitesimal rigidity; almost periodic functions crystal framework; infinitesimal rigidity; almost periodic functions
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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MDPI and ACS Style

Badri, G.; Kitson, D.; Power, S.C. The Almost Periodic Rigidity of Crystallographic Bar-Joint Frameworks. Symmetry 2014, 6, 308-328.

AMA Style

Badri G, Kitson D, Power SC. The Almost Periodic Rigidity of Crystallographic Bar-Joint Frameworks. Symmetry. 2014; 6(2):308-328.

Chicago/Turabian Style

Badri, Ghada; Kitson, Derek; Power, Stephen C. 2014. "The Almost Periodic Rigidity of Crystallographic Bar-Joint Frameworks." Symmetry 6, no. 2: 308-328.


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