Wave propagation in immersed waveguide with radial inhomogeneity.

Cylinder Forced oscillations Fourier transform Inhomogeneity Residue theory Wave propagation Waveguide

Journal

Ultrasonics
ISSN: 1874-9968
Titre abrégé: Ultrasonics
Pays: Netherlands
ID NLM: 0050452

Informations de publication

Date de publication:
Dec 2020
Historique:
received: 25 09 2019
revised: 25 03 2020
accepted: 08 05 2020
pubmed: 26 6 2020
medline: 26 6 2020
entrez: 26 6 2020
Statut: ppublish

Résumé

In this paper, we investigate wave propagation in an inhomogeneous cylindrical waveguide immersed in a medium. To model external medium influence, we use the impedance boundary conditions on the waveguide outer wall. Some structural properties of the dispersion set are studied. To treat the problem of the waveguide forced oscillations, we solve boundary value problems for the first order vector differential equation sequentially in the Fourier transform space and then build the actual space on the basis of the residue theory. The residues for the numerically given function with the first order poles were found by considering auxiliary boundary value problems. The wave fields on the waveguide internal wall are obtained for different inhomogeneity laws and boundary conditions.

Identifiants

pubmed: 32585462
pii: S0041-624X(20)30112-8
doi: 10.1016/j.ultras.2020.106173
pii:
doi:

Types de publication

Journal Article

Langues

eng

Sous-ensembles de citation

IM

Pagination

106173

Informations de copyright

Copyright © 2020 Elsevier B.V. All rights reserved.

Déclaration de conflit d'intérêts

Declaration of Competing Interest The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.

Auteurs

A Vatulyan (A)

Department of Elasticity Theory, Institute of Mathematics, Mechanics and Computer Sciences named after I. I. Vorovich, Southern Federal University, Milchakova 8a, 344090 Rostov-on-Don, Russia.

V Yurov (V)

Department of Elasticity Theory, Institute of Mathematics, Mechanics and Computer Sciences named after I. I. Vorovich, Southern Federal University, Milchakova 8a, 344090 Rostov-on-Don, Russia. Electronic address: vyurov@sfedu.ru.

R Nedin (R)

Department of Elasticity Theory, Institute of Mathematics, Mechanics and Computer Sciences named after I. I. Vorovich, Southern Federal University, Milchakova 8a, 344090 Rostov-on-Don, Russia.

V Dudarev (V)

Department of Elasticity Theory, Institute of Mathematics, Mechanics and Computer Sciences named after I. I. Vorovich, Southern Federal University, Milchakova 8a, 344090 Rostov-on-Don, Russia.

Classifications MeSH