The boundary integral equations method for analysis of high-frequency vibrations of an elastic layer

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61388998%3A_____%2F17%3A00476157" target="_blank" >RIV/61388998:_____/17:00476157 - isvavai.cz</a>

Výsledek na webu

<a href="https://link.springer.com/article/10.1007/s00419-016-1220-y" target="_blank" >https://link.springer.com/article/10.1007/s00419-016-1220-y</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/s00419-016-1220-y" target="_blank" >10.1007/s00419-016-1220-y</a>

Jazyk výsledku

angličtina

Název v původním jazyce

The boundary integral equations method for analysis of high-frequency vibrations of an elastic layer

Popis výsledku v původním jazyce

The boundary integral equations are derived in the framework of the analytical five-mode models for propagation of symmetric and skew-symmetric waves in a straight elastic layer of the constant thickness. The forcing problems for fundamental loading cases are solved with the bi-orthogonality conditions employed. By these means, the Green’s matrices are constructed. The derivation of the Somigliana’s identities for the five-mode models is presented. To exemplify application of the method of boundary integral equations, eigenfrequencies of a layer of the finite length are found for two sets of boundary conditions. In the course of analysis, the essential features and advantages of the method are highlighted. The isogeometric analysis at several approximation levels and the standard finite element software are also used to calculate the eigenfrequencies. The results obtained by alternative methods are shown to be in an excellent agreement with eachnother.

Název v anglickém jazyce

The boundary integral equations method for analysis of high-frequency vibrations of an elastic layer

Popis výsledku anglicky

The boundary integral equations are derived in the framework of the analytical five-mode models for propagation of symmetric and skew-symmetric waves in a straight elastic layer of the constant thickness. The forcing problems for fundamental loading cases are solved with the bi-orthogonality conditions employed. By these means, the Green’s matrices are constructed. The derivation of the Somigliana’s identities for the five-mode models is presented. To exemplify application of the method of boundary integral equations, eigenfrequencies of a layer of the finite length are found for two sets of boundary conditions. In the course of analysis, the essential features and advantages of the method are highlighted. The isogeometric analysis at several approximation levels and the standard finite element software are also used to calculate the eigenfrequencies. The results obtained by alternative methods are shown to be in an excellent agreement with eachnother.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10307 - Acoustics

Projekt

Výsledek vznikl pri realizaci vícero projektů. Více informací v záložce Projekty.

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2017

Kód důvěrnosti údajů

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

Název periodika

Archive of Applied Mechanics

ISSN

0939-1533

e-ISSN

—

Svazek periodika

87

Číslo periodika v rámci svazku

4

Stát vydavatele periodika

DE - Spolková republika Německo

Počet stran výsledku

14

Strana od-do

737-750

Kód UT WoS článku

000399231900010

EID výsledku v databázi Scopus

2-s2.0-85006952496