Universal representation of dynamic frequency spectra for canonical generalised quasicrystalline-generated waveguides

Chen, Zhijiang ORCID: https://orcid.org/0000-0002-9828-9572, Farhat, Abdelbaset K.M. and Gei, Massimiliano ORCID: https://orcid.org/0000-0003-3869-7504 2023. Universal representation of dynamic frequency spectra for canonical generalised quasicrystalline-generated waveguides. Presented at: Euromech Colloquium 626, Keele, U.K., 6-8 September 2021. Published in: Altenbach, Holm, Prikazchikov, Danila and Nobili, Andrea eds. Mechanics of High-Contrast Elastic Solids: Advanced Structured Materials. , vol.187 pp. 65-74. 10.1007/978-3-031-24141-3_5

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Abstract

An effective way to describe the sequence of stop and pass bands in a one-dimensional phononic waveguide is represented by the ‘flow’ line reported onto the plot of the relevant π -periodic reduced torus. In this chapter, these concepts are introduced for silver-mean quasicrystalline-generated elastic waveguides. Results are obtained for canonical configurations for which the dynamic frequency spectra are periodic. Application to finite-size waveguides is also illustrated. As the silver-mean sequence is one of the generalised Fibonacci sequences, the illustrated method can be easily extended to other quasicrystalline substitution rules.

Item Type:	Conference or Workshop Item (Paper)
Date Type:	Published Online
Status:	Published
Schools:	Engineering
ISBN:	978-3-031-24141-3
ISSN:	1
Last Modified:	17 May 2023 09:34
URI:	https://orca.cardiff.ac.uk/id/eprint/158937

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