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Symmetry 2014, 6(2), 308-328; doi:10.3390/sym6020308
Article
The Almost Periodic Rigidity of Crystallographic Bar-Joint Frameworks
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)
This is an open access article distributed under the
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and reproduction in any medium, provided the original work is properly cited.
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
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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 StyleBadri G, Kitson D, Power SC. The Almost Periodic Rigidity of Crystallographic Bar-Joint Frameworks. Symmetry. 2014; 6(2):308-328.
Chicago/Turabian StyleBadri, Ghada; Kitson, Derek; Power, Stephen C. 2014. "The Almost Periodic Rigidity of Crystallographic Bar-Joint Frameworks." Symmetry 6, no. 2: 308-328.
Symmetry
EISSN 2073-8994
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