A12-b1 - Methods for computing quasi-guided waves in plate structures coupled to unbounded media
- Event
- 2025 ICU PADERBORN - 9th International Congress on Ultrasonics
2025-09-21 - 2025-09-25
Paderborn - Band
- Lectures
- Chapter
- A12-b - Surface Acoustic Waves and Guided Waves
- Author(s)
- H. Gravenkamp - Otto von Guericke University Magdeburg, Magdeburg (Germany), B. Plestenjak - University of Ljubljana, Ljubljana (Slovenia), D. A. Kiefer - ESPCI Paris, Paris (France)
- Pages
- 90 - 93
- DOI
- 10.5162/Ultrasonic2025/A12-b1
- ISBN
- 978-3-910600-08-9
- Price
- free
Abstract
Using semi-analytical methods for modeling waves in layered structures, the thickness direction is discretized straightforwardly by finite elements. However, the coupling to adjacent acoustic or elastic half-spaces leads to a nonlinear eigenvalue problem (NLEP) for the wavenumbers and mode shapes. We demonstrate how this NLEP can be solved in two very different ways, either by recasting it as a multiparameter eigenvalue problem or by the concept of exponential residual relaxation in conjunction with standard Runge-Kutta solvers.