# Crystal flex bases and the RUM spectrum

@article{Badri2018CrystalFB,
title={Crystal flex bases and the RUM spectrum},
journal={Proceedings of the Edinburgh Mathematical Society},
year={2018},
volume={64},
pages={735 - 761}
}
• Published 2 July 2018
• Mathematics
• Proceedings of the Edinburgh Mathematical Society
A theory of infinite spanning sets and bases is developed for the first-order flex space of an infinite bar-joint framework, together with space group symmetric versions for a crystallographic bar-joint framework ${{\mathcal {C}}}$. The existence of a crystal flex basis for ${{\mathcal {C}}}$ is shown to be closely related to the spectral analysis of the rigid unit mode (RUM) spectrum of ${{\mathcal {C}}}$ and an associated geometric flex spectrum. Additionally, infinite spanning sets and bases…
1 Citations
• S. Power
• Mathematics
Journal of Mathematical Analysis and Applications
• 2022

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