The boundary integral equations method for analysis of high-frequency vibrations of an elastic layer
The result's identifiers
Result code in 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>
Result on the web
<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>
Alternative languages
Result language
angličtina
Original language name
The boundary integral equations method for analysis of high-frequency vibrations of an elastic layer
Original language description
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.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10307 - Acoustics
Result continuities
Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Archive of Applied Mechanics
ISSN
0939-1533
e-ISSN
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Volume of the periodical
87
Issue of the periodical within the volume
4
Country of publishing house
DE - GERMANY
Number of pages
14
Pages from-to
737-750
UT code for WoS article
000399231900010
EID of the result in the Scopus database
2-s2.0-85006952496