Digital repository of Slovenian research organisations

Show document
A+ | A- | Help | SLO | ENG

Title:Computation of leaky waves in layered structures coupled to unbounded media by exploiting multiparameter eigenvalue problems
Authors:ID Gravenkamp, Hauke (Author)
ID Plestenjak, Bor (Author)
ID Kiefer, Daniel A. (Author)
ID Jarlebring, Elias (Author)
Files:.pdf PDF - Presentation file, download (4,80 MB)
MD5: 75099B95EDE87B0F59F1D79E0A568C92
 
URL URL - Source URL, visit https://www.sciencedirect.com/science/article/pii/S0022460X24004784
 
Language:English
Typology:1.01 - Original Scientific Article
Organization:Logo IMFM - Institute of Mathematics, Physics, and Mechanics
Abstract:We present a semi-analytical approach to compute quasi-guided elastic wave modes in horizontally layered structures radiating into unbounded fluid or solid media. This problem is of relevance, e.g., for the simulation of guided ultrasound in embedded plate structures or seismic waves in soil layers over an elastic half-space. We employ a semi-analytical formulation to describe the layers, thus discretizing the thickness direction by means of finite elements. For a free layer, this technique leads to a well-known quadratic eigenvalue problem for the mode shapes and corresponding horizontal wavenumbers. Incorporating the coupling conditions to account for the adjacent half-spaces gives rise to additional terms that are nonlinear in the wavenumber. We show that the resulting nonlinear eigenvalue problem can be cast in the form of a multiparameter eigenvalue problem whose solutions represent the wave numbers in the plate and in the half-spaces. The multiparameter eigenvalue problem is solved numerically using recently developed algorithms. Matlab implementations of the proposed methods are publicly available.
Keywords:guided waves, plates, soil dynamics, half-space, leaky waves, semi-analytical method
Publication status:Published
Publication version:Version of Record
Publication date:01.02.2025
Year of publishing:2025
Number of pages:22 str.
Numbering:Vol. 596, [article no.] 118716
PID:20.500.12556/DiRROS-20528 New window
UDC:519.6
ISSN on article:0022-460X
DOI:10.1016/j.jsv.2024.118716 New window
COBISS.SI-ID:211164675 New window
Note:
Publication date in DiRROS:11.10.2024
Views:287
Downloads:2445
Metadata:XML DC-XML DC-RDF
:
GRAVENKAMP, Hauke, PLESTENJAK, Bor, KIEFER, Daniel A. and JARLEBRING, Elias, 2025, Computation of leaky waves in layered structures coupled to unbounded media by exploiting multiparameter eigenvalue problems. Journal of sound and vibration [online]. 2025. Vol. 596, no. 118716. [Accessed 7 April 2025]. DOI 10.1016/j.jsv.2024.118716. Retrieved from: https://dirros.openscience.si/IzpisGradiva.php?lang=eng&id=20528
Copy citation
  
Share:Bookmark and Share


Similar works from our repository:

No similar works found
Hover the mouse pointer over a document title to show the abstract or click on the title to get all document metadata.

Record is a part of a journal

Title:Journal of sound and vibration
Shortened title:J. Sound Vib.
Publisher:Elsevier
ISSN:0022-460X
COBISS.SI-ID:540946 New window

Document is financed by a project

Funder:Other - Other funder or multiple funders
Funding programme:Ministerio de Ciencia e Innovación, Spain
Project number:CEX2018-000797-S
Funder:ARIS - Slovenian Research and Innovation Agency
Project number:N1-0154
Name:Verjetnostne metode za skupne in singularne probleme lastnih vrednosti
Funder:ARIS - Slovenian Research and Innovation Agency
Project number:P1-0294
Name:Računsko intenzivne metode v teoretičnem računalništvu, diskretni matematiki, kombinatorični optimizaciji ter numerični analizi in algebri z uporabo v naravoslovju in družboslovju
Funder:Other - Other funder or multiple funders
Funding programme:French Government
Project number:ANR-10-LABX-24

Licences

License:CC BY 4.0, Creative Commons Attribution 4.0 International
Link:http://creativecommons.org/licenses/by/4.0/
Description:This is the standard Creative Commons license that gives others maximum freedom to do what they want with the work as long as they credit the author.

Secondary language

Language:Slovenian
Keywords:vodeni valovi, plošče, dinamika tal, polprostor, puščajoči valovi, polanalitična metoda


Back