Numerical solution of Rayleigh-Lamb frequency equation for real, imaginary and complex wavenumbers

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27230%2F18%3A10240684" target="_blank" >RIV/61989100:27230/18:10240684 - isvavai.cz</a>

Nalezeny alternativní kódy

RIV/61989100:27740/18:10240684

Výsledek na webu

<a href="https://www.matec-conferences.org/articles/matecconf/abs/2018/16/matecconf_mms2018_08011/matecconf_mms2018_08011.html" target="_blank" >https://www.matec-conferences.org/articles/matecconf/abs/2018/16/matecconf_mms2018_08011/matecconf_mms2018_08011.html</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1051/matecconf/201815708011" target="_blank" >10.1051/matecconf/201815708011</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Numerical solution of Rayleigh-Lamb frequency equation for real, imaginary and complex wavenumbers

Popis výsledku v původním jazyce

Guided waves, especially Lamb waves or shear-horizontal waves, are widely used types of waves for ultrasonic inspection of large structures. Well known property of guided waves is their dispersive character, which means that the propagation velocity of the particular wave mode is not only a function of physical properties of the material, in which the wave propagates or the wavés frequency, but also depends on the geometry of the structure in itself. Dispersion curves provide us the information related to the dependency between the wavenumber and the frequency of the particular mode and can be obtained by a numerical solution of Rayleigh-Lamb frequency equation. A solution of Rayleigh-Lamb frequency equation forms for a given frequency and plate thickness a set of a finite number of real and pure imaginary wavenumbers and an infinite number of complex wavenumbers. Proposed paper presents a complete procedure of how to obtain all three kinds of wavenumbers for a given geometry and frequency interval. The main emphasis is placed on the effectiveness of the procedures, which are used for finding the roots of dispersion equation for all three kinds of wavenumbers. (C) 2018 The Authors, published by EDP Sciences.

Název v anglickém jazyce

Numerical solution of Rayleigh-Lamb frequency equation for real, imaginary and complex wavenumbers

Popis výsledku anglicky

Guided waves, especially Lamb waves or shear-horizontal waves, are widely used types of waves for ultrasonic inspection of large structures. Well known property of guided waves is their dispersive character, which means that the propagation velocity of the particular wave mode is not only a function of physical properties of the material, in which the wave propagates or the wavés frequency, but also depends on the geometry of the structure in itself. Dispersion curves provide us the information related to the dependency between the wavenumber and the frequency of the particular mode and can be obtained by a numerical solution of Rayleigh-Lamb frequency equation. A solution of Rayleigh-Lamb frequency equation forms for a given frequency and plate thickness a set of a finite number of real and pure imaginary wavenumbers and an infinite number of complex wavenumbers. Proposed paper presents a complete procedure of how to obtain all three kinds of wavenumbers for a given geometry and frequency interval. The main emphasis is placed on the effectiveness of the procedures, which are used for finding the roots of dispersion equation for all three kinds of wavenumbers. (C) 2018 The Authors, published by EDP Sciences.

Druh

D - Stať ve sborníku

CEP obor

—

OECD FORD obor

20302 - Applied mechanics

Projekt

<a href="/cs/project/LQ1602" target="_blank" >LQ1602: IT4Innovations excellence in science</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>S - Specificky vyzkum na vysokych skolach

Rok uplatnění

2018

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název statě ve sborníku

MATEC Web of Conferences. Volume 157

ISBN

—

ISSN

2261-236X

e-ISSN

2261-236X

Počet stran výsledku

9

Strana od-do

—

Název nakladatele

EDP Sciences

Místo vydání

Paříž

Místo konání akce

Sklené Teplice

Datum konání akce

5. 9. 2017

Typ akce podle státní příslušnosti

WRD - Celosvětová akce

Kód UT WoS článku

—