On application of the Floquet theory for radially periodic membranes and plates

Alexander Hvatov*, Sergey Sorokin

*Kontaktforfatter

Publikation: Bidrag til tidsskriftTidsskriftartikelForskningpeer review

14 Citationer (Scopus)

Abstract

The paper is concerned with the vibro-isolation effects in radially periodic membranes and plates. Alternative formulations of the canonical Floquet theory for analysis of wave propagation in these elastic structures are compared with each other. An extension of this theory beyond the applicability limits of the well-known theory of Bragg fiber is proposed. The similarities and differences in performance of infinite and finite structures periodic in Cartesian and polar coordinates are highlighted and explained.

OriginalsprogEngelsk
TidsskriftJournal of Sound and Vibration
Vol/bind414
Sider (fra-til)15-30
Antal sider16
ISSN0022-460X
DOI
StatusUdgivet - 3 feb. 2018

Emneord

  • Periodic structures
  • Wave propagation
  • Floquet theory
  • Eigenfrequency spectra
  • Polar coordinates

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