20.500.12556/RUL-163828 Computation of leaky waves in layered structures coupled to unbounded media by exploiting multiparameter eigenvalue problems 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. guided waves plates soil dynamics half-space leaky waves semi-analytical method vodeni valovi plošče dinamika tal polprostor puščajoči valovi polanalitična metoda true false true Angleški jezik Slovenski jezik Članek v reviji 2024-10-11 11:08:21 2024-10-11 11:08:28 2024-10-13 03:35:50 0000-00-00 00:00:00 2025 0 0 22 str. [article no.] 118716 Vol. 596 Feb. 2025 0000-00-00 Zaloznikova Objavljeno NiDoloceno 0000-00-00 0000-00-00 2025-02-01 519.6 0022-460X 10.1016/j.jsv.2024.118716 211164675 1-s2.0-S0022460X24004784-main.pdf 1-s2.0-S0022460X24004784-main.pdf 1 B2C0B0D8DB2150CEEE80237D20CD961F 43cf329721be3a36da2d17699d750040ac0b4c564de3f84c86062ae011f79225 4097c183-87b1-11ef-b232-0050569b8976 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=193768 https://www.sciencedirect.com/science/article/pii/S0022460X24004784 1 308fd226-87b0-11ef-b232-0050569b8976 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=193767 Fakulteta za matematiko in fiziko 0 0 0