On Unified Formulation of Floquet Propagator in Cartesian and Polar Coordinates

A. Hvatov; S. Sorokin

doi:10.1007/978-3-031-15758-5_73

On Unified Formulation of Floquet Propagator in Cartesian and Polar Coordinates

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Publikation: Bidrag til bog/antologi/rapport/konference proceeding › Konferenceartikel i proceeding › Forskning › peer review

1 Citationer (Scopus)

Abstract

A modified formulation of Floquet propagator is proposed to analyze free wave motion in homogeneous and periodic waveguides both in the Cartesian and in the polar coordinates. For homogeneous waveguides, it substantiates the application of a Wave Finite Element Method in polar coordinates. For radially periodic waveguides, it facilitates the application of conventional (i.e., used in Cartesian coordinates) criterion to identify frequency-wise positions of pass- and stop-bands. The application of the proposed methodology is illustrated by a simple example of a wave propagation problem governed by the Helmholtz equation (a dilatation wave in a membrane).

Originalsprog	Engelsk
Titel	Recent Trends in Wave Mechanics and Vibrations : Proceedings of WMVC 2022
Redaktører	Zuzana Dimitrovová, Rodrigo Gonçalves, Zuzana Dimitrovová, Paritosh Biswas, Tiago Silva
Antal sider	12
Forlag	Springer
Publikationsdato	2023
Sider	713-724
ISBN (Trykt)	978-3-031-15757-8, 978-3-031-15760-8
ISBN (Elektronisk)	978-3-031-15758-5
DOI	https://doi.org/10.1007/978-3-031-15758-5_73
Status	Udgivet - 2023
Begivenhed	10th International Conference on Wave Mechanics and Vibrations, WMVC 2022 - Lisbon, Portugal Varighed: 4 jul. 2022 → 6 jul. 2022

Konference

Konference	10th International Conference on Wave Mechanics and Vibrations, WMVC 2022
Land/Område	Portugal
By	Lisbon
Periode	04/07/2022 → 06/07/2022

Navn	Mechanisms and Machine Science
Vol/bind	125 MMS
ISSN	2211-0984

Bibliografisk note

Publisher Copyright:
© 2023, The Author(s), under exclusive license to Springer Nature Switzerland AG.

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10.1007/978-3-031-15758-5_73

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Citationsformater

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title = "On Unified Formulation of Floquet Propagator in Cartesian and Polar Coordinates",

abstract = "A modified formulation of Floquet propagator is proposed to analyze free wave motion in homogeneous and periodic waveguides both in the Cartesian and in the polar coordinates. For homogeneous waveguides, it substantiates the application of a Wave Finite Element Method in polar coordinates. For radially periodic waveguides, it facilitates the application of conventional (i.e., used in Cartesian coordinates) criterion to identify frequency-wise positions of pass- and stop-bands. The application of the proposed methodology is illustrated by a simple example of a wave propagation problem governed by the Helmholtz equation (a dilatation wave in a membrane).",

keywords = "Floquet propagator, Periodic structures, Polar coordinates, WFEM",

author = "A. Hvatov and S. Sorokin",

note = "Publisher Copyright: {\textcopyright} 2023, The Author(s), under exclusive license to Springer Nature Switzerland AG.; 10th International Conference on Wave Mechanics and Vibrations, WMVC 2022 ; Conference date: 04-07-2022 Through 06-07-2022",

year = "2023",

doi = "10.1007/978-3-031-15758-5_73",

language = "English",

isbn = "978-3-031-15757-8",

series = "Mechanisms and Machine Science",

publisher = "Springer",

pages = "713--724",

editor = "Zuzana Dimitrovov{\'a} and Rodrigo Gon{\c c}alves and Zuzana Dimitrovov{\'a} and Paritosh Biswas and Tiago Silva",

booktitle = "Recent Trends in Wave Mechanics and Vibrations",

address = "Germany",

}

Hvatov, A & Sorokin, S 2023, On Unified Formulation of Floquet Propagator in Cartesian and Polar Coordinates. i Z Dimitrovová, R Gonçalves, Z Dimitrovová, P Biswas & T Silva (red), Recent Trends in Wave Mechanics and Vibrations: Proceedings of WMVC 2022. Springer, Mechanisms and Machine Science, bind 125 MMS, s. 713-724, 10th International Conference on Wave Mechanics and Vibrations, WMVC 2022, Lisbon, Portugal, 04/07/2022. https://doi.org/10.1007/978-3-031-15758-5_73

On Unified Formulation of Floquet Propagator in Cartesian and Polar Coordinates. / Hvatov, A.; Sorokin, S.
Recent Trends in Wave Mechanics and Vibrations: Proceedings of WMVC 2022. red. / Zuzana Dimitrovová; Rodrigo Gonçalves; Zuzana Dimitrovová; Paritosh Biswas; Tiago Silva. Springer, 2023. s. 713-724 (Mechanisms and Machine Science, Bind 125 MMS).

Publikation: Bidrag til bog/antologi/rapport/konference proceeding › Konferenceartikel i proceeding › Forskning › peer review

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KW - Periodic structures

KW - Polar coordinates

KW - WFEM

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