Assessment of reduced-order models in analysis of Floquet modes in an infinite periodic elastic layer

Alexander Hvatov*, Sergey Sorokin

*Corresponding author for this work

Research output: Contribution to journalJournal articleResearchpeer-review

8 Citations (Scopus)
114 Downloads (Pure)

Abstract

A hierarchy of reduced-order models of wave propagation in a periodic elastic layer is used to study the periodicity-induced stop-band effects. At each approximation level, the eigenfrequency problem for a unit symmetric periodicity cell with appropriate boundary conditions is shown to be equivalent to the problem of identification of frequencies separating pass- and stop-bands. Factorization of eigenfrequency equations and of equations defining positions of pass- and stop-bands for individual Floquet modes is demonstrated. The difference between accuracy levels of reduced order models for homogeneous and periodic layers is highlighted and explained.

Original languageEnglish
JournalJournal of Sound and Vibration
Volume440
Pages (from-to)332-345
Number of pages14
ISSN0022-460X
DOIs
Publication statusPublished - 3 Feb 2019

Keywords

  • Eigenfrequency spectra
  • Floquet theory
  • Pass- and stop-bands
  • Periodic elastic layer
  • Reduced-order models
  • Wave propagation

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