An overview of elastic waveguides with dynamic sub-structures

Leonid Slepyan*, Alexander B. Movchan

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


The dynamic response of elastic waveguides is important for a wide range of applications that involve dispersive waves as well as wave localization. In particular, a case of special interest relates to waveguides subjected to moving loads. In the case where the elongated structure includes a sequence of built-in resonators, the range of resonance regimes may be extended accordingly. The present paper gives an overview of several mathematical formulations that connect Floquet theory to the dynamic response of multi-scale waveguides, which include inertial sub-structures subjected to external forces. This article is part of the theme issue 'Wave generation and transmission in multi-scale complex media and structured metamaterials (part 2)'.

Original languageEnglish
Article number20210381
JournalPhilosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
Issue number2237
StatePublished - 28 Nov 2022


  • Floquet waves
  • dispersion
  • resonant wave
  • structured waveguide


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