0476157 - ÚT 2018 RIV DE eng J - Journal Article
Sorokin, S. - Kolman, Radek - Kopačka, Ján
The boundary integral equations method for analysis of high-frequency vibrations of an elastic layer.
Archive of Applied Mechanics. Roč. 87, č. 4 (2017), s. 737-750. ISSN 0939-1533. E-ISSN 1432-0681
R&D Projects: GA ČR(CZ) GA16-03823S; GA MŠMT(CZ) EF15_003/0000493
Institutional support: RVO:61388998
Keywords : an elastic layer * symmetric and skew-symmetric waves * the Green’s matrix * boundary integral equations * eigen frequencies
OECD category: Acoustics
Impact factor: 1.467, year: 2017 ; AIS: 0.443, rok: 2017
Result website:
https://link.springer.com/article/10.1007/s00419-016-1220-yDOI: https://doi.org/10.1007/s00419-016-1220-y

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 each
other.
Permanent Link: http://hdl.handle.net/11104/0275305