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

Alexander Hvatov; Sergey Sorokin

doi:10.1016/j.jsv.2017.11.003

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

Alexander Hvatov^*, Sergey Sorokin

^*Corresponding author for this work

Research output: Contribution to journal › Journal article › Research › peer-review

14 Citations (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.

Original language	English
Journal	Journal of Sound and Vibration
Volume	414
Pages (from-to)	15-30
Number of pages	16
ISSN	0022-460X
DOIs	https://doi.org/10.1016/j.jsv.2017.11.003
Publication status	Published - 3 Feb 2018

Keywords

Eigenfrequency spectra
Floquet theory
Periodic structures
Polar coordinates
Wave propagation

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title = "On application of the Floquet theory for radially periodic membranes and plates",

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.",

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AU - Sorokin, Sergey

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N2 - 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.

AB - 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.

KW - Eigenfrequency spectra

KW - Floquet theory

KW - Periodic structures

KW - Polar coordinates

KW - Wave propagation

KW - Periodic structures

KW - Wave propagation

KW - Floquet theory

KW - Eigenfrequency spectra

KW - Polar coordinates

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DO - 10.1016/j.jsv.2017.11.003

M3 - Journal article

AN - SCOPUS:85037815103

SN - 0022-460X

VL - 414

SP - 15

EP - 30

JO - Journal of Sound and Vibration

JF - Journal of Sound and Vibration

ER -

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

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Keywords

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