Computation of leaky waves in layered structures coupled to unbounded media by exploiting multiparameter eigenvalue problems

Gravenkamp, Hauke (avtor), Plestenjak, Bor (avtor), Kiefer, Daniel A. (avtor), Jarlebring, Elias (avtor)

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.

• Jezik: Angleški jezik
• Ključne besede: guided waves, plates, soil dynamics, half-space, leaky waves, semi-analytical method
• Vrsta gradiva: Članek v reviji
• Tipologija: 1.01 - Izvirni znanstveni članek
• Organizacija: FMF - Fakulteta za matematiko in fiziko
• Status publikacije: Objavljeno
• Različica publikacije: Objavljena publikacija
• Datum objave: 01.02.2025
• Leto izida: 2025
• Št. strani: 22 str.
• Številčenje: Vol. 596, [article no.] 118716
• PID: 20.500.12556/RUL-163828
• UDK: 519.6
• ISSN pri članku: 0022-460X
• DOI: 10.1016/j.jsv.2024.118716
• COBISS.SI-ID: 211164675
• Datum objave v RUL: 11.10.2024

Gradivo je del revije

• Naslov: Journal of sound and vibration
• Skrajšan naslov: J. Sound Vib.
• Založnik: Elsevier
• ISSN: 0022-460X
• COBISS.SI-ID: 540946

Licence

• Licenca: CC BY 4.0, Creative Commons Priznanje avtorstva 4.0 Mednarodna
• Povezava: http://creativecommons.org/licenses/by/4.0/deed.sl
• Opis: To je standardna licenca Creative Commons, ki daje uporabnikom največ možnosti za nadaljnjo uporabo dela, pri čemer morajo navesti avtorja.

Sekundarni jezik

• Jezik: Slovenski jezik
• Ključne besede: vodeni valovi, plošče, dinamika tal, polprostor, puščajoči valovi, polanalitična metoda